Mathematical programming, ISSN 1436-4646, 2008, Volume 122, Issue 2, pp. 301 - 347

... of the subdifferential Palais-Smale condition for set-valued mappings with values in partially ordered spaces and then derive necessary optimality conditions for these minimizers...

Variational analysis | Necessary optimality conditions | Existence theorems | Multiobjective optimization | Variational and extremal principles | Relative Pareto minimizers | Generalized differentiation | MATHEMATICS, APPLIED | MULTIFUNCTIONS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | OPTIMIZATION | RULE | Mathematical optimization | Pareto efficiency | Analysis | Studies | Pareto optimum | Optimization techniques

Variational analysis | Necessary optimality conditions | Existence theorems | Multiobjective optimization | Variational and extremal principles | Relative Pareto minimizers | Generalized differentiation | MATHEMATICS, APPLIED | MULTIFUNCTIONS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | OPTIMIZATION | RULE | Mathematical optimization | Pareto efficiency | Analysis | Studies | Pareto optimum | Optimization techniques

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 11/2016, Volume 171, Issue 2, pp. 708 - 725

.... The Fritz John-type necessary optimality conditions and the Karushâ€“Kuhnâ€“Tucker-type necessary optimality conditions for a weak Pareto solution are derived for such a nonsmooth vector optimization problem...

Quasidifferentiable F -convexity with respect to a convex compact set | 90C29 | Mathematics | Theory of Computation | 90C26 | Optimization | Quasidifferentiable multiobjective optimization problem | Fritz John-type necessary optimality conditions | Karushâ€“Kuhnâ€“Tucker-type necessary optimality conditions | 90C30 | Calculus of Variations and Optimal Control; Optimization | 49J52 | Pareto optimality | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | Quasidifferentiable F-convexity with respect to a convex compact set | Karush-Kuhn-Tucker-type necessary optimality conditions | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MINIMIZATION | SPACES | NONSMOOTH | Computer science | Pareto efficiency | Studies | Pareto optimum | Mathematical analysis | Differential equations | Multiple objective analysis | Paper | Feasibility | Inequalities

Quasidifferentiable F -convexity with respect to a convex compact set | 90C29 | Mathematics | Theory of Computation | 90C26 | Optimization | Quasidifferentiable multiobjective optimization problem | Fritz John-type necessary optimality conditions | Karushâ€“Kuhnâ€“Tucker-type necessary optimality conditions | 90C30 | Calculus of Variations and Optimal Control; Optimization | 49J52 | Pareto optimality | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | Quasidifferentiable F-convexity with respect to a convex compact set | Karush-Kuhn-Tucker-type necessary optimality conditions | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MINIMIZATION | SPACES | NONSMOOTH | Computer science | Pareto efficiency | Studies | Pareto optimum | Mathematical analysis | Differential equations | Multiple objective analysis | Paper | Feasibility | Inequalities

Journal Article

European Journal of Control, ISSN 0947-3580, 07/2017, Volume 36, pp. 18 - 29

.... Moreover, by means of the optimal control theory, we establish the sufficient and necessary optimality condition of an optimal control, which is another major novelty of this paper...

Sufficient and necessary optimality condition | Camassaâ€“Holm equation | Weak solution | Optimal control | Existence and uniqueness | EFFICIENT COMPUTATIONAL METHOD | MULTIPEAKON SOLUTIONS | WELL-POSEDNESS | SHALLOW-WATER EQUATION | BOUNDARY VALUE-PROBLEMS | DISSIPATIVE SOLUTIONS | BURGERS-EQUATION | GLOBAL CONSERVATIVE SOLUTIONS | WEAK SOLUTIONS | Camassa-Holm equation | AUTOMATION & CONTROL SYSTEMS | OPTIMAL DISTRIBUTED CONTROL | Control systems | Boundary value problems | Research | Control theory | Mathematical optimization | Economic models | Nonlinear equations | Partial differential equations | Fluid dynamics | Uniqueness | Coefficients | Design optimization | Mathematical analysis | Queuing theory | Linear equations

Sufficient and necessary optimality condition | Camassaâ€“Holm equation | Weak solution | Optimal control | Existence and uniqueness | EFFICIENT COMPUTATIONAL METHOD | MULTIPEAKON SOLUTIONS | WELL-POSEDNESS | SHALLOW-WATER EQUATION | BOUNDARY VALUE-PROBLEMS | DISSIPATIVE SOLUTIONS | BURGERS-EQUATION | GLOBAL CONSERVATIVE SOLUTIONS | WEAK SOLUTIONS | Camassa-Holm equation | AUTOMATION & CONTROL SYSTEMS | OPTIMAL DISTRIBUTED CONTROL | Control systems | Boundary value problems | Research | Control theory | Mathematical optimization | Economic models | Nonlinear equations | Partial differential equations | Fluid dynamics | Uniqueness | Coefficients | Design optimization | Mathematical analysis | Queuing theory | Linear equations

Journal Article

Mathematics of operations research, ISSN 1526-5471, 2011, Volume 36, Issue 1, pp. 165 - 184

...) condition is necessary and sufficient for global optimality of all lower-level problems near the optimal solution, we present various optimality conditions by replacing the lower-level problem with its KKT conditions...

multiobjective optimization | partial calmness | bilevel programming problem | preference | value function | constraint qualification | necessary optimality condition | nonsmooth analysis | Necessary conditions for optimality | Optimal solutions | Mathematical theorems | Sufficient conditions for optimality | Error bounds | Mathematical functions | Mathematical vectors | Index sets | Unit vectors | Bilevel programming problem | Value function | Constraint qualification | Nonsmooth analysis | Preference | Multiobjective optimization | Necessary optimality condition | Partial calmness | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | SENSITIVITY | VARIATIONAL INEQUALITY CONSTRAINTS | COMPLEMENTARITY CONSTRAINTS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MATHEMATICAL PROGRAMS | EQUILIBRIUM CONSTRAINTS | QUALIFICATIONS

multiobjective optimization | partial calmness | bilevel programming problem | preference | value function | constraint qualification | necessary optimality condition | nonsmooth analysis | Necessary conditions for optimality | Optimal solutions | Mathematical theorems | Sufficient conditions for optimality | Error bounds | Mathematical functions | Mathematical vectors | Index sets | Unit vectors | Bilevel programming problem | Value function | Constraint qualification | Nonsmooth analysis | Preference | Multiobjective optimization | Necessary optimality condition | Partial calmness | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | SENSITIVITY | VARIATIONAL INEQUALITY CONSTRAINTS | COMPLEMENTARITY CONSTRAINTS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MATHEMATICAL PROGRAMS | EQUILIBRIUM CONSTRAINTS | QUALIFICATIONS

Journal Article

5.
Full Text
Necessary optimality conditions for optimal control problems with equilibrium constraints

SIAM Journal on Control and Optimization, ISSN 0363-0129, 2016, Volume 54, Issue 5, pp. 2710 - 2733

.... Moreover, we give some sufficient conditions to ensure that the local minimizers of the OCPEC are Fritz John-type weakly stationary, Mordukhovich stationary, and strongly stationary...

Necessary optimality condition | Weak stationarity | Optimal control problem with equilibrium constraints | Clarke stationarity | Mordukhovich stationarity | Strong stationarity | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | CALMNESS | EXACT PENALTY | STATE | DYNAMIC OPTIMIZATION | necessary optimality condition | optimal control problem with equilibrium constraints | strong stationarity | MATHEMATICAL PROGRAMS | weak stationarity | QUALIFICATIONS | AUTOMATION & CONTROL SYSTEMS

Necessary optimality condition | Weak stationarity | Optimal control problem with equilibrium constraints | Clarke stationarity | Mordukhovich stationarity | Strong stationarity | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | CALMNESS | EXACT PENALTY | STATE | DYNAMIC OPTIMIZATION | necessary optimality condition | optimal control problem with equilibrium constraints | strong stationarity | MATHEMATICAL PROGRAMS | weak stationarity | QUALIFICATIONS | AUTOMATION & CONTROL SYSTEMS

Journal Article

Mathematical Programming, ISSN 0025-5610, 10/2014, Volume 147, Issue 1, pp. 539 - 579

.... Using these formulas and classical nonsmooth first order necessary optimality conditions we derive explicit expressions for the strong-, Mordukhovich- and Clarke- (S-, M- and C...

C-stationary conditions | Necessary optimality conditions | Theoretical, Mathematical and Computational Physics | Mathematics | M-stationary conditions | Mathematical program with semidefinite cone complementarity constraints | Mathematical Methods in Physics | 49K10 | 90C30 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 49J52 | Numerical Analysis | Constraint qualifications | 90C22 | 90C33 | S-stationary conditions | Combinatorics | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | CALMNESS | APPROXIMATION | NONCONVEX NLPS | SEMISMOOTHNESS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | LARGEST EIGENVALUES | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MINIMIZATION | GLOBAL OPTIMIZATION | SYSTEMS | NONSMOOTH | Computer science | Studies | Semidefinite programming | Analysis | Optimization | Mathematical programming | Analogue | Mathematical analysis | Graphs | Vectors (mathematics) | Constraining

C-stationary conditions | Necessary optimality conditions | Theoretical, Mathematical and Computational Physics | Mathematics | M-stationary conditions | Mathematical program with semidefinite cone complementarity constraints | Mathematical Methods in Physics | 49K10 | 90C30 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 49J52 | Numerical Analysis | Constraint qualifications | 90C22 | 90C33 | S-stationary conditions | Combinatorics | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | CALMNESS | APPROXIMATION | NONCONVEX NLPS | SEMISMOOTHNESS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | LARGEST EIGENVALUES | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MINIMIZATION | GLOBAL OPTIMIZATION | SYSTEMS | NONSMOOTH | Computer science | Studies | Semidefinite programming | Analysis | Optimization | Mathematical programming | Analogue | Mathematical analysis | Graphs | Vectors (mathematics) | Constraining

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 02/2019, Volume 372, Issue 2, pp. 1289 - 1331

The main purpose of this work is to establish some first- and second-order necessary optimality conditions for local minimizers of stochastic optimal control problems with state constraints...

MATHEMATICS | 1ST | MAXIMUM PRINCIPLE | 2ND-ORDER | Stochastic optimal control | local minimizer | inward pointing condition | EQUATIONS | necessary optimality conditions | Mathematics | Optimization and Control

MATHEMATICS | 1ST | MAXIMUM PRINCIPLE | 2ND-ORDER | Stochastic optimal control | local minimizer | inward pointing condition | EQUATIONS | necessary optimality conditions | Mathematics | Optimization and Control

Journal Article

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, ISSN 1531-3492, 05/2019, Volume 24, Issue 5, pp. 2093 - 2124

.... In this paper, we provide necessary optimality conditions for a nonrestrictive class of optimal control problems in which unknown parameters intervene in the dynamics, the cost function and the right...

MATHEMATICS, APPLIED | necessary conditions | average cost | Optimal control | unknown parameters

MATHEMATICS, APPLIED | necessary conditions | average cost | Optimal control | unknown parameters

Journal Article

Key engineering materials, ISSN 1013-9826, 02/2016, Volume 685, pp. 142 - 147

In this paper the authors describe necessary conditions of optimality for continuous multicriteria optimization problems...

Pareto optimality | Multicriteria optimization | Effective solutions | Necessary and sufficient conditions for local optimization | Convolution | Mathematical analysis | Switches | Nonlinearity | Criteria | Optimization

Pareto optimality | Multicriteria optimization | Effective solutions | Necessary and sufficient conditions for local optimization | Convolution | Mathematical analysis | Switches | Nonlinearity | Criteria | Optimization

Journal Article

Optimization, ISSN 0233-1934, 11/2016, Volume 65, Issue 11, pp. 1909 - 1927

.... We obtain necessary and sufficient optimality conditions of order n (n is a positive integer...

higher order subdifferentials | necessary and sufficient conditions for optimality | generalized convex functions | Non-smooth optimization | higher order directional derivatives of Hadamard type | MATHEMATICS, APPLIED | 2ND-ORDER | SUFFICIENT CONDITIONS | 49K10 | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | 90C46 | NONSMOOTH OPTIMIZATION | DIRECTIONAL-DERIVATIVES | LOCAL MINIMA | 26B05 | 26B25 | SEMISMOOTH OPTIMIZATION | Optimization | Integers | Constrictions | Derivatives | Mathematics - Optimization and Control

higher order subdifferentials | necessary and sufficient conditions for optimality | generalized convex functions | Non-smooth optimization | higher order directional derivatives of Hadamard type | MATHEMATICS, APPLIED | 2ND-ORDER | SUFFICIENT CONDITIONS | 49K10 | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | 90C46 | NONSMOOTH OPTIMIZATION | DIRECTIONAL-DERIVATIVES | LOCAL MINIMA | 26B05 | 26B25 | SEMISMOOTH OPTIMIZATION | Optimization | Integers | Constrictions | Derivatives | Mathematics - Optimization and Control

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 03/2020, Volume 268, Issue 6, pp. 2949 - 3015

The purpose of this paper is to establish first and second order necessary optimality conditions for optimal control problems of stochastic evolution equations with control and state constraints...

Stochastic optimal control | Set-valued analysis | Necessary optimality conditions | MATHEMATICS | MAXIMUM PRINCIPLE | EXACT CONTROLLABILITY | POINTWISE 2ND-ORDER | LOCAL MINIMIZERS | Mathematics | Optimization and Control

Stochastic optimal control | Set-valued analysis | Necessary optimality conditions | MATHEMATICS | MAXIMUM PRINCIPLE | EXACT CONTROLLABILITY | POINTWISE 2ND-ORDER | LOCAL MINIMIZERS | Mathematics | Optimization and Control

Journal Article

Discrete and Continuous Dynamical Systems, ISSN 1078-0947, 02/2011, Volume 29, Issue 2, pp. 417 - 437

We introduce a discrete-time fractional calculus of variations. First and second order necessary optimality conditions are established...

Legendre necessary condition | Fractional summation by parts | Euler-Lagrange equation | Fractional difference calculus | Calculus of variations | NONNEGATIVITY | MATHEMATICS, APPLIED | TERMS | EQUATIONS | FORMULATION | NUMERICAL SCHEME | MATHEMATICS | calculus of variations | DERIVATIVES | fractional summation by parts | Mathematics - Optimization and Control

Legendre necessary condition | Fractional summation by parts | Euler-Lagrange equation | Fractional difference calculus | Calculus of variations | NONNEGATIVITY | MATHEMATICS, APPLIED | TERMS | EQUATIONS | FORMULATION | NUMERICAL SCHEME | MATHEMATICS | calculus of variations | DERIVATIVES | fractional summation by parts | Mathematics - Optimization and Control

Journal Article

Journal of optimization theory and applications, ISSN 1573-2878, 2019, Volume 182, Issue 3, pp. 1001 - 1018

In this paper, first-order and second-order necessary conditions for optimality for discrete-time stochastic optimal control problems governed by discrete-time ItÃ´...

Discrete-time stochastic systems | Discrete-time backward stochastic equations | Mathematics | Theory of Computation | Necessary conditions | Optimization | 49K45 | 93C55 | 93E20 | Stochastic linear quadratic problem | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Applications of Mathematics | Engineering, general | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Maximum principle | Control theory | Stochastic systems | Discrete time systems | Optimal control

Discrete-time stochastic systems | Discrete-time backward stochastic equations | Mathematics | Theory of Computation | Necessary conditions | Optimization | 49K45 | 93C55 | 93E20 | Stochastic linear quadratic problem | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Applications of Mathematics | Engineering, general | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Maximum principle | Control theory | Stochastic systems | Discrete time systems | Optimal control

Journal Article

Mathematical Programming, ISSN 0025-5610, 3/2018, Volume 168, Issue 1, pp. 571 - 598

... conditions to be necessary for optimality. Moreover, we derive exact penalization results for the following two special cases...

Theoretical, Mathematical and Computational Physics | Error bound | Mathematics | 90C26 | Exact penalization | Non-Lipschitz program | Mathematical Methods in Physics | 90C30 | 90C46 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Necessary optimality | Combinatorics | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | CALMNESS | CONSTRAINT QUALIFICATIONS | SIGNALS | OPTIMIZATION | Composite functions | Continuity (mathematics) | Normality

Theoretical, Mathematical and Computational Physics | Error bound | Mathematics | 90C26 | Exact penalization | Non-Lipschitz program | Mathematical Methods in Physics | 90C30 | 90C46 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Necessary optimality | Combinatorics | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | CALMNESS | CONSTRAINT QUALIFICATIONS | SIGNALS | OPTIMIZATION | Composite functions | Continuity (mathematics) | Normality

Journal Article

SIAM journal on optimization, ISSN 1095-7189, 2010, Volume 20, Issue 4, pp. 1885 - 1905

...) condition and solve the resulting mathematical programming problem with equilibrium constraints (MPEC...

Value function | Necessary optimality conditions | Nonsmooth analysis | Bilevel programming problems | Partial calmness | Constraint qualifications | partial calmness | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | MORAL HAZARD | MATHEMATICAL PROGRAMS | value function | necessary optimality conditions | constraint qualifications | bilevel programming problems | nonsmooth analysis | Studies | Optimization algorithms | Equilibrium | Mathematical programming

Value function | Necessary optimality conditions | Nonsmooth analysis | Bilevel programming problems | Partial calmness | Constraint qualifications | partial calmness | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | MORAL HAZARD | MATHEMATICAL PROGRAMS | value function | necessary optimality conditions | constraint qualifications | bilevel programming problems | nonsmooth analysis | Studies | Optimization algorithms | Equilibrium | Mathematical programming

Journal Article

Positivity : an international journal devoted to the theory and applications of positivity in analysis, ISSN 1572-9281, 2019, Volume 24, Issue 2, pp. 313 - 337

.... The connections between these proposed conditions are established. They are applied to develop second-order Karush-Kuhn-Tucker necessary optimality conditions for local...

MATHEMATICS | Locally Lipschitz vector optimization | Second-order KKT necessary optimality conditions | KUHN-TUCKER OPTIMALITY | Second-order constraint qualification | INEQUALITY | Abadie second-order regularity condition | EFFICIENCY

MATHEMATICS | Locally Lipschitz vector optimization | Second-order KKT necessary optimality conditions | KUHN-TUCKER OPTIMALITY | Second-order constraint qualification | INEQUALITY | Abadie second-order regularity condition | EFFICIENCY

Journal Article

Journal of mathematical analysis and applications, ISSN 0022-247X, 2005, Volume 307, Issue 1, pp. 350 - 369

.... We give a simple proof to the M-stationary condition and show that it is sufficient for global or local optimality under some MPEC generalized convexity assumptions...

Mathematical program with equilibrium constraints | Sufficient optimality conditions | Necessary optimality conditions | Constraint qualifications | VARIATIONAL INEQUALITY CONSTRAINTS | MATHEMATICS | COMPLEMENTARITY CONSTRAINTS | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | STATIONARITY CONDITIONS | necessary optimality conditions | sufficient optimality conditions | EXACT PENALIZATION | mathematical program with equilibrium constraints | constraint qualifications | QUALIFICATIONS

Mathematical program with equilibrium constraints | Sufficient optimality conditions | Necessary optimality conditions | Constraint qualifications | VARIATIONAL INEQUALITY CONSTRAINTS | MATHEMATICS | COMPLEMENTARITY CONSTRAINTS | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | STATIONARITY CONDITIONS | necessary optimality conditions | sufficient optimality conditions | EXACT PENALIZATION | mathematical program with equilibrium constraints | constraint qualifications | QUALIFICATIONS

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 3/2014, Volume 160, Issue 3, pp. 778 - 808

.... This paper deals with necessary and sufficient conditions for near-optimal singular stochastic controls for nonlinear controlled stochastic differential equations of mean-field type, which is also called McKean...

Mean-field stochastic differential equations | Necessary and sufficient conditions of near-optimality | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Ekelandâ€™s variational principle. Generalized gradient | Mathematics | Theory of Computation | Near-optimal singular stochastic control | Applications of Mathematics | Engineering, general | Optimization | Ekeland's variational principle. Generalized gradient | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MAXIMUM PRINCIPLE | Studies | Stochastic models | Analysts | Differential equations | Mathematical analysis | Adjoints | Control equipment | Stochasticity | Variational principles | Estimates

Mean-field stochastic differential equations | Necessary and sufficient conditions of near-optimality | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Ekelandâ€™s variational principle. Generalized gradient | Mathematics | Theory of Computation | Near-optimal singular stochastic control | Applications of Mathematics | Engineering, general | Optimization | Ekeland's variational principle. Generalized gradient | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MAXIMUM PRINCIPLE | Studies | Stochastic models | Analysts | Differential equations | Mathematical analysis | Adjoints | Control equipment | Stochasticity | Variational principles | Estimates

Journal Article

Set-valued and variational analysis, ISSN 1877-0541, 2019, Volume 28, Issue 2, pp. 395 - 426

.... We derive a new necessary optimality condition which is sharper than the usual M-stationary condition and is applicable even when no constraint qualifications hold for the corresponding mathematical...

DISJUNCTIVE PROGRAMS | MATHEMATICS, APPLIED | Necessary optimality conditions | CALMNESS | REGULARITY | Constraint qualifications | METRIC SUBREGULARITY | SYSTEMS | M-STATIONARITY CONDITIONS | COMPUTATION | Mathematical programs with equilibrium constraints

DISJUNCTIVE PROGRAMS | MATHEMATICS, APPLIED | Necessary optimality conditions | CALMNESS | REGULARITY | Constraint qualifications | METRIC SUBREGULARITY | SYSTEMS | M-STATIONARITY CONDITIONS | COMPUTATION | Mathematical programs with equilibrium constraints

Journal Article

20.
Optimality conditions for a controlled sweeping process with applications to the crowd motion model

Discrete and Continuous Dynamical Systems - Series B, ISSN 1531-3492, 03/2017, Volume 22, Issue 2, pp. 267 - 306

... and prevent employing conventional variation techniques to derive necessary optimality conditions...

Variational analysis | Necessary optimality conditions | Discrete approximations | Controlled sweeping process | Crowd motion model | Generalized differentiation | Hysteresis | DIFFERENTIAL-INCLUSIONS | MATHEMATICS, APPLIED | variational analysis | crowd motion model | STATE CONSTRAINTS | discrete approximations | RELAXATION | SYSTEMS | necessary optimality conditions | hysteresis | generalized differentiation

Variational analysis | Necessary optimality conditions | Discrete approximations | Controlled sweeping process | Crowd motion model | Generalized differentiation | Hysteresis | DIFFERENTIAL-INCLUSIONS | MATHEMATICS, APPLIED | variational analysis | crowd motion model | STATE CONSTRAINTS | discrete approximations | RELAXATION | SYSTEMS | necessary optimality conditions | hysteresis | generalized differentiation

Journal Article