Unified dwell time–based stability and stabilization criteria for switched linear stochastic systems and their application to intermittent control

DOI10.1002/rnc.3997zbMath1390.93841OpenAlexW2769707994MaRDI QIDQ4644146

Wu-Hua Chen, Shixian Luo, Fei Qi Deng

Publication date: 30 May 2018

Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rnc.3997

zbMATH Keywords

stabilitymode-dependent dwell timeintermittent controlswitched stochastic systemstime-varying discretized Lyapunov function

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Linear systems in control theory (93C05) Stochastic stability in control theory (93E15) Stochastic systems in control theory (general) (93E03) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (17)

New criteria of almost sure exponential stability and instability of nonlinear stochastic systems with a generalization to stochastic coupled systems ⋮ Stabilization of stochastic highly non-linear multi-links systems via aperiodically intermittent control ⋮ Time‐triggered intermittent control of continuous systems ⋮ Stability of switched stochastic reaction–diffusion systems ⋮ Finite-time stability analysis of switched stochastic reaction-diffusion systems ⋮ Virtual-clock-dependent \(H_\infty\) controller design for discrete-time switched interval type-2 fuzzy systems with intermittent control inputs ⋮ Unified stability criteria of asynchronous discrete-time impulsive switched delayed systems: bounded admissible edge-dependent average dwell time method ⋮ Stabilization of highly nonlinear neutral stochastic systems with Markovian switching by periodically intermittent feedback control ⋮ \(H_\infty\) synchronization of uncertain stochastic time-varying delay systems with exogenous disturbance via intermittent control ⋮ Equivalence of several stability conditions for switched linear systems with dwell time ⋮ On the exponential stability of stochastic perturbed singular systems in mean square ⋮ Observer-based stabilization of sector-bounded nonlinear stochastic systems in the presence of intermittent measurements ⋮ Extended dissipativity stabilization and synchronization of uncertain stochastic reaction-diffusion neural networks via intermittent non-fragile control ⋮ Dynamic event-triggered control for linear stochastic systems with sporadic measurements and communication delays ⋮ Almost sure stability of second‐order nonlinear stochastic system with Lévy noise via sliding mode control ⋮ Stability analysis of stochastic switching singular systems with jumps ⋮ Stabilization of discrete-time switched linear systems with time-varying delays via nearly-periodic impulsive control

This page was built for publication: Unified dwell time–based stability and stabilization criteria for switched linear stochastic systems and their application to intermittent control