Stability Analysis of Switched Stochastic Nonlinear Systems With State-Dependent Delay
Lina Fan, Quanxin Zhu, Wei Xing Zheng
Abstract
This article is devoted to solving the problem of stochastically weakly locally exponential stability of switched stochastic systems with the state-dependent delay. Different from the previous works, we introduce the state-dependent delay, which is a random variable dependent on the system state so that the bound of the delay is unknown. In addition, we also consider the influence of switching on the stability of the system. By using multiple Lyapunov–Krasovskii functionals and some novel stochastic analysis techniques, we obtain sufficient conditions for stochastically weakly locally exponential stability of the hybrid system. Two examples are provided to verify the correctness of the proposed results.
Topics & Concepts
CorrectnessExponential stabilityNonlinear systemControl theory (sociology)State (computer science)Stability (learning theory)MathematicsState dependentStochastic processComputer scienceApplied mathematicsControl (management)AlgorithmQuantum mechanicsMachine learningMathematical economicsPhysicsArtificial intelligenceStatisticsStability and Control of Uncertain SystemsNeural Networks Stability and SynchronizationStability and Controllability of Differential Equations