Set-Valued and Variational Analysis, ISSN 1877-0533, 6/2019, Volume 27, Issue 2, pp. 331 - 354

In this paper we consider a class of infinite horizon variational problems resulting from a transformation of singular variational problems. Herein we assume...

Analysis | 49J40 | Mathematics | Weighted functional spaces | Infinite horizon | Calculus of variations | 49K15 | 46N10 | Optimization

Analysis | 49J40 | Mathematics | Weighted functional spaces | Infinite horizon | Calculus of variations | 49K15 | 46N10 | Optimization

Journal Article

Set-Valued and Variational Analysis, ISSN 1877-0533, 6/2019, Volume 27, Issue 2, pp. 523 - 548

We present existence of solution and necessary conditions for an optimal control problem with a particular case of sweeping processes with constant sweeping...

49K21 | Analysis | Optimal control | Pontryagin maximum principle | Mathematics | 49K15 | Optimization | Sweeping processes

49K21 | Analysis | Optimal control | Pontryagin maximum principle | Mathematics | 49K15 | Optimization | Sweeping processes

Journal Article

Computational Optimization and Applications, ISSN 0926-6003, 12/2017, Volume 68, Issue 3, pp. 719 - 747

Markov–Dubins path is the shortest planar curve joining two points with prescribed tangents, with a specified bound on its curvature. Its structure, as proved...

Secondary 65K10 | Mathematics | Bang–bang control | Statistics, general | Bounded curvature | Optimization | Singular control | Primary 49J15 | 90C30 | Abnormal optimal control problem | Operations Research/Decision Theory | Convex and Discrete Geometry | Optimal control | Operations Research, Management Science | Markov–Dubins path | 49K15 | MATHEMATICS, APPLIED | SEARCH | INEXACT RESTORATION | 2ND-ORDER SUFFICIENT CONDITIONS | ALGORITHM | CURVES | ACCELERATION | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Bang-bang control | EULER DISCRETIZATION | CURVATURE | OPTIMIZATION | Markov-Dubins path | SURFACES | Tangents | Numerical analysis | Markov processes | Maximum principle | Control theory | Curvature | Mathematics - Optimization and Control

Secondary 65K10 | Mathematics | Bang–bang control | Statistics, general | Bounded curvature | Optimization | Singular control | Primary 49J15 | 90C30 | Abnormal optimal control problem | Operations Research/Decision Theory | Convex and Discrete Geometry | Optimal control | Operations Research, Management Science | Markov–Dubins path | 49K15 | MATHEMATICS, APPLIED | SEARCH | INEXACT RESTORATION | 2ND-ORDER SUFFICIENT CONDITIONS | ALGORITHM | CURVES | ACCELERATION | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Bang-bang control | EULER DISCRETIZATION | CURVATURE | OPTIMIZATION | Markov-Dubins path | SURFACES | Tangents | Numerical analysis | Markov processes | Maximum principle | Control theory | Curvature | Mathematics - Optimization and Control

Journal Article

Journal of Mathematical Sciences, ISSN 1072-3374, 8/2019, Volume 241, Issue 2, pp. 158 - 167

In this paper, we discuss approximations of the dynamical quantum Zeno effect by a fixed number of nonselective quantum measurements. A wide class of...

quantum measurements | qubit | quantum control theory | Mathematics, general | 81V80 | Mathematics | twolevel system | quantum Zeno effect | 49K15 | Control systems

quantum measurements | qubit | quantum control theory | Mathematics, general | 81V80 | Mathematics | twolevel system | quantum Zeno effect | 49K15 | Control systems

Journal Article

Mathematical Programming, ISSN 0025-5610, 3/2018, Volume 168, Issue 1, pp. 201 - 228

The term ‘distance estimate’ for state constrained control systems refers to an estimate on the distance of an arbitrary state trajectory from the subset of...

Theoretical, Mathematical and Computational Physics | Mathematics | Mathematical Methods in Physics | Differential inclusions | 49J21 | 93C10 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Optimal control | State constraints | Combinatorics | 34A60 | 49K15

Theoretical, Mathematical and Computational Physics | Mathematics | Mathematical Methods in Physics | Differential inclusions | 49J21 | 93C10 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Optimal control | State constraints | Combinatorics | 34A60 | 49K15

Journal Article

Regular and Chaotic Dynamics, ISSN 1560-3547, 01/2019, Volume 24, Issue 1, pp. 36 - 60

This paper is a continuation of the work by the same authors on the Cartan group equipped with the sub-Finsler norm. We start by giving a detailed presentation...

Sub-Finsler geometry | Cartan group | geometric control | time-optimal control | 49K15 | 49J15 | MATHEMATICS, APPLIED | MECHANICS | SPACES | TIME | PHYSICS, MATHEMATICAL | GEOMETRY | Mathematical research | Group theory | Research

Sub-Finsler geometry | Cartan group | geometric control | time-optimal control | 49K15 | 49J15 | MATHEMATICS, APPLIED | MECHANICS | SPACES | TIME | PHYSICS, MATHEMATICAL | GEOMETRY | Mathematical research | Group theory | Research

Journal Article

Biogerontology, ISSN 1389-5729, 7/2018, Volume 19, Issue 3, pp. 251 - 269

In this paper we extend the previous work of Witten and her team on defining a classical physics-driven model of survival in aging populations (Eakin, Bull...

Life Sciences | 92B05 | Geriatrics/Gerontology | Aging | Mechanics | Entropy | Developmental Biology | Survival | 49K15 | Physics | Cell Biology | Gompertz | DYNAMICS | GERIATRICS & GERONTOLOGY | Humans | Models, Statistical | Chronology as Topic | Physical Phenomena | Gerontology | Analysis | Force and energy | Population | Kinetic energy | Age

Life Sciences | 92B05 | Geriatrics/Gerontology | Aging | Mechanics | Entropy | Developmental Biology | Survival | 49K15 | Physics | Cell Biology | Gompertz | DYNAMICS | GERIATRICS & GERONTOLOGY | Humans | Models, Statistical | Chronology as Topic | Physical Phenomena | Gerontology | Analysis | Force and energy | Population | Kinetic energy | Age

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 9/2019, Volume 182, Issue 3, pp. 947 - 964

In this paper, we introduce the notion of normality relative to a set of constraints in isoperimetric control problems and study its relationship with the...

Uniqueness | Mathematics | Theory of Computation | Isoperimetric inequality constraints | Normality | Optimization | Calculus of Variations and Optimal Control; Optimization | Lagrange multipliers | Operations Research/Decision Theory | Optimal control | Applications of Mathematics | Engineering, general | 49K15 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Maximum principle

Uniqueness | Mathematics | Theory of Computation | Isoperimetric inequality constraints | Normality | Optimization | Calculus of Variations and Optimal Control; Optimization | Lagrange multipliers | Operations Research/Decision Theory | Optimal control | Applications of Mathematics | Engineering, general | 49K15 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Maximum principle

Journal Article

Celestial Mechanics and Dynamical Astronomy, ISSN 0923-2958, 8/2013, Volume 116, Issue 4, pp. 367 - 388

Asteroids and comets are of strategic importance for science in an effort to understand the formation, evolution and composition of the Solar System....

Asteroid capture | Retrievable mass limit | Astrophysics and Astroparticles | Near-Earth Objects | Asteroid retrieval | Asteroids dynamics | Mechanics | Geophysics/Geodesy | Dynamical Systems and Ergodic Theory | Aerospace Technology and Astronautics | Physics | Libration point orbits | PERIODIC-ORBITS | EARTH | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ASTRONOMY & ASTROPHYSICS | ASTEROIDS | RESTRICTED PROBLEM | Orbits | Solar system | Asteroids | Aerospace engineering | Comets | Astronomy

Asteroid capture | Retrievable mass limit | Astrophysics and Astroparticles | Near-Earth Objects | Asteroid retrieval | Asteroids dynamics | Mechanics | Geophysics/Geodesy | Dynamical Systems and Ergodic Theory | Aerospace Technology and Astronautics | Physics | Libration point orbits | PERIODIC-ORBITS | EARTH | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ASTRONOMY & ASTROPHYSICS | ASTEROIDS | RESTRICTED PROBLEM | Orbits | Solar system | Asteroids | Aerospace engineering | Comets | Astronomy

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 1/2019, Volume 180, Issue 1, pp. 207 - 234

In this paper, we analyze control-affine optimal control problems with a cost functional involving the absolute value of the control. The Pontryagin extremals...

Sparse control | Mathematics | Theory of Computation | Optimization | Sufficient conditions | 49K30 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Optimal control | Applications of Mathematics | Engineering, general | Hamiltonian methods | 49K15 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | L-1-MINIMIZATION | L-1 optimal control | Economic models | Control theory | Cost analysis | Coercivity | Optimization and Control

Sparse control | Mathematics | Theory of Computation | Optimization | Sufficient conditions | 49K30 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Optimal control | Applications of Mathematics | Engineering, general | Hamiltonian methods | 49K15 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | L-1-MINIMIZATION | L-1 optimal control | Economic models | Control theory | Cost analysis | Coercivity | Optimization and Control

Journal Article

Set-Valued and Variational Analysis, ISSN 1877-0533, 6/2019, Volume 27, Issue 2, pp. 503 - 521

We consider non-autonomous calculus of variations problems with a state constraint represented by a given closed set. We prove that if the interior of the...

49K21 | Constraint qualification | Neighboring feasible trajectories | Analysis | Optimal control | Mathematics | Normality | Calculus of variations | 49K15 | Optimization

49K21 | Constraint qualification | Neighboring feasible trajectories | Analysis | Optimal control | Mathematics | Normality | Calculus of variations | 49K15 | Optimization

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 10/2015, Volume 167, Issue 1, pp. 27 - 48

The famous proof of the Pontryagin maximum principle for control problems on a finite horizon bases on the needle variation technique, as well as the...

Pontryagin maximum principle | Mathematics | Theory of Computation | Optimization | 46E15 | 46E35 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Optimal control | Transversality conditions | Applications of Mathematics | Engineering, general | Infinite horizon | 49K15 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Studies | Mathematical models | Lagrange multipliers | Mathematical analysis | Disturbances | Needles | Maximum principle | Horizon

Pontryagin maximum principle | Mathematics | Theory of Computation | Optimization | 46E15 | 46E35 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Optimal control | Transversality conditions | Applications of Mathematics | Engineering, general | Infinite horizon | 49K15 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Studies | Mathematical models | Lagrange multipliers | Mathematical analysis | Disturbances | Needles | Maximum principle | Horizon

Journal Article

Set-Valued and Variational Analysis, ISSN 1877-0533, 6/2016, Volume 24, Issue 2, pp. 333 - 354

The problem of reachability for differential inclusions is an active topic in the recent control theory. Its solution provides an insight into the dynamics of...

Geometry | Analysis | MSC 93B03 | Star-shaped sets | Radial (gauge) function | Mathematics | Differential inclusion | MSC 49K15 | Viability | Optimal control synthesis | Reachability sets | MATHEMATICS, APPLIED | Differential equations

Geometry | Analysis | MSC 93B03 | Star-shaped sets | Radial (gauge) function | Mathematics | Differential inclusion | MSC 49K15 | Viability | Optimal control synthesis | Reachability sets | MATHEMATICS, APPLIED | Differential equations

Journal Article

14.
Full Text
Euler–Lagrange Equations for Lagrangians Containing Complex-order Fractional Derivatives

Journal of Optimization Theory and Applications, ISSN 0022-3239, 7/2017, Volume 174, Issue 1, pp. 256 - 275

Two variational problems of finding the Euler–Lagrange equations corresponding to Lagrangians containing fractional derivatives of real- and complex-order are...

Mathematics | Theory of Computation | Complex-order fractional variational problems | Optimization | 70H03 | Weak convergence | 70G75 | Calculus of Variations and Optimal Control; Optimization | Euler–Lagrange equations | Expansion formula | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | 49K05 | 49K15 | SCHEME | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Euler-Lagrange equations | NOETHERS THEOREM | FORMULATION | Lagrange multiplier | Approximation | Mathematical analysis | Integrals | Optimal control | Kinetics | Derivatives

Mathematics | Theory of Computation | Complex-order fractional variational problems | Optimization | 70H03 | Weak convergence | 70G75 | Calculus of Variations and Optimal Control; Optimization | Euler–Lagrange equations | Expansion formula | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | 49K05 | 49K15 | SCHEME | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Euler-Lagrange equations | NOETHERS THEOREM | FORMULATION | Lagrange multiplier | Approximation | Mathematical analysis | Integrals | Optimal control | Kinetics | Derivatives

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 5/2018, Volume 177, Issue 2, pp. 345 - 375

The present paper studies a new class of problems of optimal control theory with Sturm–Liouville-type differential inclusions involving second-order linear...

Approximation | Sturm–Liouville | Mathematics | Theory of Computation | 90C26 | Set-valued | Optimization | Self-adjoint | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | 93C15 | Applications of Mathematics | Engineering, general | Hamiltonian | 34A60 | 49K15 | Sturm-Liouville | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | 2ND-ORDER | SUFFICIENT CONDITIONS | DISCRETE | CONTROLLABILITY | Control systems | Operators (mathematics) | Economic models | Transformations (mathematics) | Optimal control | Differential equations | Mayer problem | Control theory | Inclusions

Approximation | Sturm–Liouville | Mathematics | Theory of Computation | 90C26 | Set-valued | Optimization | Self-adjoint | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | 93C15 | Applications of Mathematics | Engineering, general | Hamiltonian | 34A60 | 49K15 | Sturm-Liouville | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | 2ND-ORDER | SUFFICIENT CONDITIONS | DISCRETE | CONTROLLABILITY | Control systems | Operators (mathematics) | Economic models | Transformations (mathematics) | Optimal control | Differential equations | Mayer problem | Control theory | Inclusions

Journal Article

Letters in Mathematical Physics, ISSN 0377-9017, 9/2019, Volume 109, Issue 9, pp. 2069 - 2081

We reprove a result by Ren and Wei concerning the periodicity of minimizers of a one-dimensional liquid drop model in the neutral case. Our proof works for...

49S05 | 82D20 | Theoretical, Mathematical and Computational Physics | Complex Systems | Periodicity | Physics | Geometry | 49N20 | Coulomb system | Thermodynamic limit | Group Theory and Generalizations | Liquid drop model | 49K15 | SYSTEM | STATISTICAL-MECHANICS | MATTER | PHYSICS, MATHEMATICAL | Thermodynamics | Analysis | Models

49S05 | 82D20 | Theoretical, Mathematical and Computational Physics | Complex Systems | Periodicity | Physics | Geometry | 49N20 | Coulomb system | Thermodynamic limit | Group Theory and Generalizations | Liquid drop model | 49K15 | SYSTEM | STATISTICAL-MECHANICS | MATTER | PHYSICS, MATHEMATICAL | Thermodynamics | Analysis | Models

Journal Article

Mathematical Programming, ISSN 0025-5610, 11/2016, Volume 160, Issue 1, pp. 115 - 147

In this article we establish new second order necessary and sufficient optimality conditions for a class of control-affine problems with a scalar control and a...

Mathematical Methods in Physics | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Mathematics | Combinatorics | 49K27 | 49K15 | COMPUTER SCIENCE, SOFTWARE ENGINEERING | ORDER | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | OPTIMALITY CONDITIONS | EXTREMALS | Studies | Control theory | Mathematical analysis | Optimization | Scalars | Constraints | Transforms | Mathematical programming

Mathematical Methods in Physics | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Mathematics | Combinatorics | 49K27 | 49K15 | COMPUTER SCIENCE, SOFTWARE ENGINEERING | ORDER | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | OPTIMALITY CONDITIONS | EXTREMALS | Studies | Control theory | Mathematical analysis | Optimization | Scalars | Constraints | Transforms | Mathematical programming

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 9/2019, Volume 182, Issue 3, pp. 965 - 983

The present paper extends the classical second-order variational problem of Herglotz type to the more general context of the Euclidean sphere $$S^n$$ S n...

53B21 | 49S05 | Variational problems of Herglotz type | Mathematics | Theory of Computation | Higher-order optimal control problems | 34H05 | Higher-order variational problems | Optimization | Euclidean sphere | Riemannian cubic polynomials | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Applications of Mathematics | Engineering, general | 49K15 | SCHEME | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | THEOREM | PRINCIPLE | FORMULATION | BIRKHOFFIAN SYSTEM | Riemann manifold | Polynomials | Euler-Lagrange equation | Mathematical analysis | Optimal control

53B21 | 49S05 | Variational problems of Herglotz type | Mathematics | Theory of Computation | Higher-order optimal control problems | 34H05 | Higher-order variational problems | Optimization | Euclidean sphere | Riemannian cubic polynomials | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Applications of Mathematics | Engineering, general | 49K15 | SCHEME | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | THEOREM | PRINCIPLE | FORMULATION | BIRKHOFFIAN SYSTEM | Riemann manifold | Polynomials | Euler-Lagrange equation | Mathematical analysis | Optimal control

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 11/2019, Volume 183, Issue 2, pp. 642 - 670

We revisit the optimal control problem of maximizing biogas production in continuous bio-processes in two directions: 1. over an infinite horizon, 2. with...

Chemostat model | Mathematics | Theory of Computation | Singular arc | Optimization | Sub-optimality | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Optimal control | 49N90 | Applications of Mathematics | Engineering, general | Infinite horizon | 49N35 | 49K15 | 93B52 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | FINITE | TURNPIKE PROPERTIES | BIOPROCESS | Models | Biogas | Biomass energy | Analysis | Production processes | Controllers | Feedback | Optimization and Control | Engineering Sciences | Chemical and Process Engineering

Chemostat model | Mathematics | Theory of Computation | Singular arc | Optimization | Sub-optimality | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Optimal control | 49N90 | Applications of Mathematics | Engineering, general | Infinite horizon | 49N35 | 49K15 | 93B52 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | FINITE | TURNPIKE PROPERTIES | BIOPROCESS | Models | Biogas | Biomass energy | Analysis | Production processes | Controllers | Feedback | Optimization and Control | Engineering Sciences | Chemical and Process Engineering

Journal Article

Ricerche di Matematica, ISSN 0035-5038, 12/2019, Volume 68, Issue 2, pp. 503 - 512

Bäcklund transformations are applied to study the Gross–Pitaevskii equation. Supported by previous results, a class of Bäcklund transformations admitted by...

Gross–Pitaevskii equation | 37K35 | 35A24 | 35Q55 | Probability Theory and Stochastic Processes | Mathematics | Geometry | Bäcklund transformations | Algebra | Analysis | Numerical Analysis | Nonlinear ordinary differential equations | Schwarzian derivative | Mathematics, general | 49K15 | MATHEMATICS | MATHEMATICS, APPLIED | ERMAKOV | Gross-Pitaevskii equation | Backlund transformations

Gross–Pitaevskii equation | 37K35 | 35A24 | 35Q55 | Probability Theory and Stochastic Processes | Mathematics | Geometry | Bäcklund transformations | Algebra | Analysis | Numerical Analysis | Nonlinear ordinary differential equations | Schwarzian derivative | Mathematics, general | 49K15 | MATHEMATICS | MATHEMATICS, APPLIED | ERMAKOV | Gross-Pitaevskii equation | Backlund transformations

Journal Article

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