Systems & Control Letters, ISSN 0167-6911, 07/2017, Volume 105, pp. 55 - 61

This paper discusses the asymptotic stability of Markov switched stochastic differential equations. By using the method of multiple Lyapunov functions, we...

Unstable subsystem | Multiple Lyapunov function | Stochastically asymptotically stable in the large | Markov switched stochastic differential equation | UNIFORM STABILITY | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | EXPONENTIAL STABILITY | NONLINEAR-SYSTEMS | STABILIZATION | AUTOMATION & CONTROL SYSTEMS | Analysis | Differential equations

Unstable subsystem | Multiple Lyapunov function | Stochastically asymptotically stable in the large | Markov switched stochastic differential equation | UNIFORM STABILITY | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | EXPONENTIAL STABILITY | NONLINEAR-SYSTEMS | STABILIZATION | AUTOMATION & CONTROL SYSTEMS | Analysis | Differential equations

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 05/2011, Volume 390, Issue 10, pp. 1747 - 1762

In this paper, we discuss a multigroup SIR model with stochastic perturbation. We deduce the globally asymptotic stability of the disease-free equilibrium when...

Stochastic Lyapunov function | Asymptotically stable in the large | Stochastic multigroup SIR model | Persistent in mean | Endemic equilibrium | Disease-free equilibrium | PHYSICS, MULTIDISCIPLINARY | STABILITY | ENVIRONMENT | DIFFERENTIAL-EQUATIONS | NUMERICAL-SIMULATION | Approximation | Lyapunov functions | Perturbation methods | Asymptotic properties | Dynamics | Mathematical models | Stochasticity | Statistical mechanics | Dynamical systems

Stochastic Lyapunov function | Asymptotically stable in the large | Stochastic multigroup SIR model | Persistent in mean | Endemic equilibrium | Disease-free equilibrium | PHYSICS, MULTIDISCIPLINARY | STABILITY | ENVIRONMENT | DIFFERENTIAL-EQUATIONS | NUMERICAL-SIMULATION | Approximation | Lyapunov functions | Perturbation methods | Asymptotic properties | Dynamics | Mathematical models | Stochasticity | Statistical mechanics | Dynamical systems

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2009, Volume 360, Issue 1, pp. 235 - 244

In this paper, we discuss the two-group SIR model introduced by Guo, Li and Shuai [H.B. Guo, M.Y. Li, Z. Shuai, Global stability of the endemic equilibrium of...

Brownian motion | Itô's formula | Stochastic multigroup SIR model | Stochastic asymptotically stable in the large | Lyapunov function | POPULATION | MATHEMATICS, APPLIED | BEHAVIOR | PERSISTENCE | EPIDEMIC MODEL | TIME-DELAY | Ito's formula | STOCHASTIC-MODEL | MATHEMATICS | TRANSMISSION | LOTKA-VOLTERRA MODEL | DISEASE | DYNAMICS

Brownian motion | Itô's formula | Stochastic multigroup SIR model | Stochastic asymptotically stable in the large | Lyapunov function | POPULATION | MATHEMATICS, APPLIED | BEHAVIOR | PERSISTENCE | EPIDEMIC MODEL | TIME-DELAY | Ito's formula | STOCHASTIC-MODEL | MATHEMATICS | TRANSMISSION | LOTKA-VOLTERRA MODEL | DISEASE | DYNAMICS

Journal Article

Stochastic Analysis and Applications, ISSN 0736-2994, 09/2012, Volume 30, Issue 5, pp. 755 - 773

In this article,we discuss an SIR model with stochastic perturbation. We show that there is a nonnegative solution that belongs to a positively invariant set....

60H10 | 93E15 | Endemic equilibrium | Asymptotically stable in the large | Stochastic Lyapunov function | Stochastic SIR model | Exponentially mean-square stable | Disease-free equilibrium | TIME DELAYS | MATHEMATICS, APPLIED | GLOBAL STABILITY | ENVIRONMENT | DIFFERENTIAL-EQUATIONS | STATISTICS & PROBABILITY | DYNAMICS | NUMERICAL-SIMULATION

60H10 | 93E15 | Endemic equilibrium | Asymptotically stable in the large | Stochastic Lyapunov function | Stochastic SIR model | Exponentially mean-square stable | Disease-free equilibrium | TIME DELAYS | MATHEMATICS, APPLIED | GLOBAL STABILITY | ENVIRONMENT | DIFFERENTIAL-EQUATIONS | STATISTICS & PROBABILITY | DYNAMICS | NUMERICAL-SIMULATION

Journal Article

WSEAS Transactions on Mathematics, ISSN 1109-2769, 2014, Volume 13, pp. 790 - 799

Journal Article

ADVANCES IN DIFFERENCE EQUATIONS, ISSN 1687-1847, 10/2015

In this paper, we introduce stochasticity into a model of SIR with density dependent birth rate. We show that the model possesses non-negative solutions as...

stochastic SIR model | disease-free equilibrium | MATHEMATICS, APPLIED | logistic birth | GLOBAL STABILITY | BEHAVIOR | PERTURBATION | ENVIRONMENT | DIFFERENTIAL-EQUATIONS | POPULATION-SIZE | TIME-DELAY | asymptotically stable in the large | MATHEMATICS | endemic equilibrium | stochastic Lyapunov function

stochastic SIR model | disease-free equilibrium | MATHEMATICS, APPLIED | logistic birth | GLOBAL STABILITY | BEHAVIOR | PERTURBATION | ENVIRONMENT | DIFFERENTIAL-EQUATIONS | POPULATION-SIZE | TIME-DELAY | asymptotically stable in the large | MATHEMATICS | endemic equilibrium | stochastic Lyapunov function

Journal Article

Advances in Difference Equations, ISSN 1687-1839, 12/2015, Volume 2015, Issue 1, pp. 1 - 12

In this paper, we introduce stochasticity into a model of SIR with density dependent birth rate. We show that the model possesses non-negative solutions as...

stochastic SIR model | disease-free equilibrium | logistic birth | Mathematics | asymptotically stable in the large | Ordinary Differential Equations | endemic equilibrium | Functional Analysis | Analysis | Difference and Functional Equations | Mathematics, general | stochastic Lyapunov function | Partial Differential Equations | Asymptotically stable in the large | Stochastic SIR model | Logistic birth | Stochastic lyapunov function | Endemic equilibrium | Disease-free equilibrium | MATHEMATICS, APPLIED | GLOBAL STABILITY | BEHAVIOR | PERTURBATION | ENVIRONMENT | DIFFERENTIAL-EQUATIONS | POPULATION-SIZE | TIME-DELAY | MATHEMATICS | Stochastic systems | Asymptotic properties | Texts | Mathematical models | Stochasticity | Birth | Density | Disease control

stochastic SIR model | disease-free equilibrium | logistic birth | Mathematics | asymptotically stable in the large | Ordinary Differential Equations | endemic equilibrium | Functional Analysis | Analysis | Difference and Functional Equations | Mathematics, general | stochastic Lyapunov function | Partial Differential Equations | Asymptotically stable in the large | Stochastic SIR model | Logistic birth | Stochastic lyapunov function | Endemic equilibrium | Disease-free equilibrium | MATHEMATICS, APPLIED | GLOBAL STABILITY | BEHAVIOR | PERTURBATION | ENVIRONMENT | DIFFERENTIAL-EQUATIONS | POPULATION-SIZE | TIME-DELAY | MATHEMATICS | Stochastic systems | Asymptotic properties | Texts | Mathematical models | Stochasticity | Birth | Density | Disease control

Journal Article

Journal of Differential Geometry, ISSN 0022-040X, 2012, Volume 91, Issue 1, pp. 81 - 102

Let (M, g) be a complete 3-dimensional asymptotically flat manifold with everywhere positive scalar curvature. We prove that, given a compact subset K subset...

SPACE | MATHEMATICS | CONSTANT MEAN-CURVATURE | ASYMPTOTICALLY FLAT 3-MANIFOLDS | STABILITY | FOLIATION | SPHERES | MASS | MINIMAL HYPERSURFACES | RIEMANNIAN-MANIFOLDS | UNIQUENESS

SPACE | MATHEMATICS | CONSTANT MEAN-CURVATURE | ASYMPTOTICALLY FLAT 3-MANIFOLDS | STABILITY | FOLIATION | SPHERES | MASS | MINIMAL HYPERSURFACES | RIEMANNIAN-MANIFOLDS | UNIQUENESS

Journal Article

数学学报：英文版, ISSN 1439-8516, 2012, Volume 28, Issue 12, pp. 2545 - 2560

A stochastic two-group SIR model is presented in this paper. The existence and uniqueness of its nonnegative solution is obtained, and the solution belongs to...

无病平衡点 | 解的存在性 | 随机扰动 | 流行病模型 | SIR模型 | 地方病平衡点 | Lyapunov泛函方法 | 全局渐近稳定性 | asymptotically stable in the large | disease-free equilibrium | 60H10 | endemic equilibrium | 93E15 | 34E10 | Mathematics, general | Stochastic two-group SIR model | Mathematics | stochastic Lyapunov function | MATHEMATICS | MATHEMATICS, APPLIED | GLOBAL STABILITY | NUMERICAL-SIMULATION | Studies | Stochastic models | Mathematical analysis | Equilibrium | Asymptotic methods | Approximation | Asymptotic properties | Fluctuation | White noise | Mathematical models | Stochasticity | Invariants

无病平衡点 | 解的存在性 | 随机扰动 | 流行病模型 | SIR模型 | 地方病平衡点 | Lyapunov泛函方法 | 全局渐近稳定性 | asymptotically stable in the large | disease-free equilibrium | 60H10 | endemic equilibrium | 93E15 | 34E10 | Mathematics, general | Stochastic two-group SIR model | Mathematics | stochastic Lyapunov function | MATHEMATICS | MATHEMATICS, APPLIED | GLOBAL STABILITY | NUMERICAL-SIMULATION | Studies | Stochastic models | Mathematical analysis | Equilibrium | Asymptotic methods | Approximation | Asymptotic properties | Fluctuation | White noise | Mathematical models | Stochasticity | Invariants

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 04/2016, Volume 436, Issue 1, pp. 366 - 381

We consider the initial and initial–boundary value problems for a viscous heat-conducting flow with shear viscosity in unbounded domains with general large...

Unbounded domains | Shear viscosity | Large initial data | Asymptotically stable | MATHEMATICS | MATHEMATICS, APPLIED | NAVIER-STOKES EQUATIONS | STABILITY | POLYTROPIC IDEAL-GAS | ONE-DIMENSIONAL MOTION | GLOBAL-SOLUTIONS

Unbounded domains | Shear viscosity | Large initial data | Asymptotically stable | MATHEMATICS | MATHEMATICS, APPLIED | NAVIER-STOKES EQUATIONS | STABILITY | POLYTROPIC IDEAL-GAS | ONE-DIMENSIONAL MOTION | GLOBAL-SOLUTIONS

Journal Article

International Journal of Systems Science, ISSN 0020-7721, 03/2017, Volume 48, Issue 4, pp. 838 - 848

Under the weaker conditions on the drift and diffusion terms, this paper focuses on the global decentralised output-feedback control for a class of large-scale...

decentralised output-feedback | Stochastic high-order upper-triangular nonlinear systems | globally asymptotically stable in probability | homogeneous domination approach | INPUT | GLOBAL ASYMPTOTIC STABILIZATION | FEEDFORWARD SYSTEMS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | TIME-VARYING DELAY | STATE-FEEDBACK | COMPUTER SCIENCE, THEORY & METHODS | INVERSE DYNAMICS | AUTOMATION & CONTROL SYSTEMS | Controllers | Systems stability | Nonlinear dynamics | Coordinate transformations | Asymptotic properties | Probability theory | Control systems | Feedback control | Dynamical systems | Process controls | Stochastic systems | Stability criteria | Randomness | Combing | Nonlinear systems | Output feedback | Stochasticity | Gain

decentralised output-feedback | Stochastic high-order upper-triangular nonlinear systems | globally asymptotically stable in probability | homogeneous domination approach | INPUT | GLOBAL ASYMPTOTIC STABILIZATION | FEEDFORWARD SYSTEMS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | TIME-VARYING DELAY | STATE-FEEDBACK | COMPUTER SCIENCE, THEORY & METHODS | INVERSE DYNAMICS | AUTOMATION & CONTROL SYSTEMS | Controllers | Systems stability | Nonlinear dynamics | Coordinate transformations | Asymptotic properties | Probability theory | Control systems | Feedback control | Dynamical systems | Process controls | Stochastic systems | Stability criteria | Randomness | Combing | Nonlinear systems | Output feedback | Stochasticity | Gain

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 12/2013, Volume 66, Issue 11, pp. 2281 - 2294

Many simple one-dimensional discrete models, for example, the Ricker and the logistic model, exhibit chaotic behaviour for large values of the map parameter ....

Stochastic perturbations | Logistic equation | Ricker equation | a.s. bounded noise | Stochastic difference equations | Asymptotically stable 2-cycle | A.S. bounded noise | POPULATION | CHAOS | MATHEMATICS, APPLIED | MODELS | IMMIGRATION | DYNAMICS

Stochastic perturbations | Logistic equation | Ricker equation | a.s. bounded noise | Stochastic difference equations | Asymptotically stable 2-cycle | A.S. bounded noise | POPULATION | CHAOS | MATHEMATICS, APPLIED | MODELS | IMMIGRATION | DYNAMICS

Journal Article

13.
Full Text
Asymptotic behavior for the one‐dimensional pth power Newtonian fluid in unbounded domains

Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 04/2016, Volume 39, Issue 5, pp. 1020 - 1025

We consider the initial and initial‐boundary value problems for a one‐dimensional pth power Newtonian fluid in unbounded domains with general large initial...

unbounded domains | pth power Newtonian fluid | large initial data | asymptotically stable | EQUATIONS | MATHEMATICS, APPLIED | Parathyroid hormone | Specific volume | Boundary value problems | Infinity | Newtonian fluids | Asymptotic properties | Mathematical analysis | Initial value problems | Density

unbounded domains | pth power Newtonian fluid | large initial data | asymptotically stable | EQUATIONS | MATHEMATICS, APPLIED | Parathyroid hormone | Specific volume | Boundary value problems | Infinity | Newtonian fluids | Asymptotic properties | Mathematical analysis | Initial value problems | Density

Journal Article

CMC-COMPUTERS MATERIALS & CONTINUA, ISSN 1546-2218, 01/2014, Volume 39, Issue 2, pp. 153 - 178

For the numerical solution of an ill-posed positive linear system we combine the methods from invariant manifold theory and sliding mode control theory,...

Sliding mode control method | LAPLACE EQUATION | NONLINEAR ALGEBRAIC EQUATIONS | MATERIALS SCIENCE, MULTIDISCIPLINARY | CONJUGATE-GRADIENT METHOD | Asymptotically stable | ITERATIVE ALGORITHM | NEWTONS METHOD | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | Ill-posed linear equations | INVERSE PROBLEMS | Invariant manifold | TIME INTEGRATION METHOD | ORDINARY DIFFERENTIAL-EQUATIONS | FUNDAMENTAL-SOLUTIONS | RIEMANNIAN-MANIFOLDS

Sliding mode control method | LAPLACE EQUATION | NONLINEAR ALGEBRAIC EQUATIONS | MATERIALS SCIENCE, MULTIDISCIPLINARY | CONJUGATE-GRADIENT METHOD | Asymptotically stable | ITERATIVE ALGORITHM | NEWTONS METHOD | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | Ill-posed linear equations | INVERSE PROBLEMS | Invariant manifold | TIME INTEGRATION METHOD | ORDINARY DIFFERENTIAL-EQUATIONS | FUNDAMENTAL-SOLUTIONS | RIEMANNIAN-MANIFOLDS

Journal Article

Journal of Differential Geometry, ISSN 0022-040X, 05/2013, Volume 94, Issue 1, pp. 159 - 186

We study the isoperimetric structure of asymptotically flat Riemannian 3-manifolds (M, g) that are C-0-asymptotic to Schwarzschild of mass m > 0. Refining an...

MATHEMATICS | CONSTANT MEAN-CURVATURE | MINIMIZING PERIMETER | ASYMPTOTICALLY FLAT 3-MANIFOLDS | REGULARITY | SPHERES | HYPERSURFACES | MASS | MANIFOLDS | RIEMANNIAN PENROSE INEQUALITY | VOLUME CONSTRAINT

MATHEMATICS | CONSTANT MEAN-CURVATURE | MINIMIZING PERIMETER | ASYMPTOTICALLY FLAT 3-MANIFOLDS | REGULARITY | SPHERES | HYPERSURFACES | MASS | MANIFOLDS | RIEMANNIAN PENROSE INEQUALITY | VOLUME CONSTRAINT

Journal Article

Physica D: Nonlinear Phenomena, ISSN 0167-2789, 10/2013, Volume 261, pp. 19 - 30

For asymptotically periodic systems, a powerful (phase) reduction of the dynamics is obtained by computing the so-called isochrons, i.e. the sets of points...

Nonlinear dynamics | Isochrons | Excitable systems | Koopman operator | Action–angle coordinates | Lyapunov function | Action-angle coordinates | MATHEMATICS, APPLIED | INITIAL CONDITIONS | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | OSCILLATOR | REDUCTION | MODELS | CYCLES | SYSTEMS | Analysis | Algorithms | Mathematics - Dynamical Systems

Nonlinear dynamics | Isochrons | Excitable systems | Koopman operator | Action–angle coordinates | Lyapunov function | Action-angle coordinates | MATHEMATICS, APPLIED | INITIAL CONDITIONS | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | OSCILLATOR | REDUCTION | MODELS | CYCLES | SYSTEMS | Analysis | Algorithms | Mathematics - Dynamical Systems

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2016, Volume 433, Issue 2, pp. 1736 - 1742

In this work we investigate the existence of solutions for semilinear Cauchy problems with nonlocal initial conditions in the neighborhood of an asymptotically...

Asymptotically stable equilibrium point | Continuation principle | Nonlocal Cauchy problems | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | INITIAL CONDITIONS

Asymptotically stable equilibrium point | Continuation principle | Nonlocal Cauchy problems | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | INITIAL CONDITIONS

Journal Article

Israel Journal of Mathematics, ISSN 0021-2172, 4/2015, Volume 207, Issue 2, pp. 925 - 959

Let us say that a discrete countable group is stable if it has an ergodic, free, probability-measure-preserving and stable action. Let G be a discrete...

Algebra | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics, general | Mathematics | Group Theory and Generalizations | Applications of Mathematics | MATHEMATICS | INNER AMENABILITY | ASYMPTOTICALLY INVARIANT SEQUENCES | EQUIVALENCE-RELATIONS | RIGIDITY | Mathematical research | Group theory | Research

Algebra | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics, general | Mathematics | Group Theory and Generalizations | Applications of Mathematics | MATHEMATICS | INNER AMENABILITY | ASYMPTOTICALLY INVARIANT SEQUENCES | EQUIVALENCE-RELATIONS | RIGIDITY | Mathematical research | Group theory | Research

Journal Article

Arabian Journal for Science and Engineering, ISSN 2193-567X, 12/2018, Volume 43, Issue 12, pp. 8049 - 8055

In this manuscript, an asymptotically stable control scheme is designed for space robot system. The space robot systems are highly uncertain systems and face...

RBF neural network | Lyapunov approach | Space robot | Model-based control | Approximation error | Asymptotically stable | Adaptive bound | MANIPULATOR | MULTIDISCIPLINARY SCIENCES | DYNAMICS | ADAPTIVE-CONTROL | BASE

RBF neural network | Lyapunov approach | Space robot | Model-based control | Approximation error | Asymptotically stable | Adaptive bound | MANIPULATOR | MULTIDISCIPLINARY SCIENCES | DYNAMICS | ADAPTIVE-CONTROL | BASE

Journal Article

Mathematics and Computers in Simulation, ISSN 0378-4754, 03/2017, Volume 133, pp. 2 - 23

This paper is devoted to the study of evolutionary dynamics of monocyclic age-structured population including effect of nonlinear mortality (population growth...

Asymptotically stable states | Nonlinear death rate | Monocyclic population | Travelling wave solution | ROYAL SOCIETY | MATHEMATICS, APPLIED | PROLIFERATION ASSAYS | SIZE | FORMULATION | MATHEMATICAL-THEORY | COMPUTER SCIENCE, SOFTWARE ENGINEERING | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | GROWTH | DYNAMICS | EPIDEMICS | ENDEMICITY | CELLS AGGREGATION | Mortality | Population biology

Asymptotically stable states | Nonlinear death rate | Monocyclic population | Travelling wave solution | ROYAL SOCIETY | MATHEMATICS, APPLIED | PROLIFERATION ASSAYS | SIZE | FORMULATION | MATHEMATICAL-THEORY | COMPUTER SCIENCE, SOFTWARE ENGINEERING | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | GROWTH | DYNAMICS | EPIDEMICS | ENDEMICITY | CELLS AGGREGATION | Mortality | Population biology

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.