This paper considers stochastic stability and stochastic stabilizability of linear discrete-time systems with Markovian jumps and mode-dependent time-delays. Linear matrix inequality (LMI) techniques are used to obtain sufficient conditions for the stochastic stability and stochastic stabilizability of this class of systems. A control design algorithm is also provided. A numerical example is gi...

This paper investigates the problem of exponential synchronization for a class of master-slave systems with both discrete and distributed time-delays, norm-bounded nonlinear uncertainties and Markovian switching parameters. Using an appropriate Lyapunov-Krasovskii functional, some delay-dependent sufficient conditions and a synchronization law which include the master-slave parameters are estab...

The multistability in a single-mode distributed feedback semiconductor laser with delayed optoelectronic feedback is observed experimentally. For a given delay time, the observed dynamical state of the laser output is critically dependent on the process of varying the delay time and is limited by the range of variation. Various routes of delay time variation results in multistabilities characte...

In this paper the problem of sliding mode control (SMC) for a class of uncertain (TS) fuzzy descriptor systems with time-varying delay is studied. An integral-type sliding function is proposed and a delay-dependent criterion is developed in terms of linear matrix inequality (LMI), which ensures the sliding mode dynamics to be robustly admissible with generalized H2 disturbance rejection level. ...