Stability of Switched Systems with Time-Varying Delays under State-Dependent Switching
Chao Liu, Xiaoyang Liu
Abstract
This paper studies the stability of linear switched systems with time-varying delays and all unstable subsystems. According to the largest region function strategy, the state-dependent switching rule is designed. By bringing in integral inequality and multiple Lyapunov-Krasovskii functionals, the stability results of delayed switched systems with or without sliding motions under the designed state-dependent switching rule are derived for different assumptions on time delay. Several numerical examples are employed to show the effectiveness and superiority of the proposed results.
Topics & Concepts
Control theory (sociology)Stability (learning theory)State (computer science)Function (biology)MathematicsLyapunov functionState dependentComputer scienceControl (management)Nonlinear systemAlgorithmPhysicsBiologyEvolutionary biologyArtificial intelligenceQuantum mechanicsMachine learningMathematical economicsStability and Control of Uncertain SystemsStability and Controllability of Differential EquationsNeural Networks Stability and Synchronization