6533b873fe1ef96bd12d5701

RESEARCH PRODUCT

Robust reliable passive control of uncertain stochastic switched time-delay systems

Zhengrong XiangHamid Reza KarimiHuimei Jia

subject

Lyapunov functionClass (set theory)Applied MathematicsMultiple Lyapunov functionsPassive controlComputational Mathematicssymbols.namesakeMultiple Lyapunov functions; Reliable passive control; Stochastic switched systems; Time-delay; Computational Mathematics; Applied MathematicsStochastic switched systemsExponential stabilityControl theorysymbolsTime-delayState (computer science)ActuatorReliable passive controlMathematics

description

This paper investigates the problem of robust reliable passive control for a class of uncertain stochastic switched time-delay systems with actuator failures. The multiple Lyapunov functions (MLFs) technique is exploited to derive a delay-dependent sufficient condition for the stochastic switched time-delay systems to be passive and exponentially stable under a state-based switching law. Moreover, the proposed approach is extended to investigate stochastic switched systems with structured uncertainties. Finally, two numerical examples are presented to illustrate the effectiveness of the proposed method.

yearjournalcountryeditionlanguage
2014-03-01Applied Mathematics and Computation
https://doi.org/10.1016/j.amc.2014.01.020