Exponential input-to-state stability of composite stochastic systems

Exponential input-to-state stability of composite stochastic systems

Input-to-state stability of Lur'e systems

An input-to-state stability theory, which subsumes results of circle criterion type, is developed in the context of continuous-time Lur’e systems. The approach developed is inspired by the complexified Aizerman conjecture.

Exponential Stability of Stochastic Delay Interval Systems

Although deterministic interval systems have received a great deal of attention, so far there is no work on stochastic interval systems. The main aim of this paper is to initiate the study of stochastic interval systems. Of course there are many properties of such systems to be investigated, but this paper will concentrate on the study of exponential stability of stochastic interval systems wit...

Almost sure exponential stability of stochastic reaction diffusion systems with Markovian jump

The stochastic reaction diffusion systems may suffer sudden shocks‎, ‎in order to explain this phenomena‎, ‎we use Markovian jumps to model stochastic reaction diffusion systems‎. ‎In this paper‎, ‎we are interested in almost sure exponential stability of stochastic reaction diffusion systems with Markovian jumps‎. ‎Under some reasonable conditions‎, ‎we show that the trivial solution of stocha...

Quasi-exponential input-to-state stability for discrete-time impulsive hybrid systems

This paper investigates the problem of input-to-state stability (ISS) for the general discrete-time impulsive hybrid systems. Quasi-exponential input-to-state stability criteria are established for non-linear discrete-time impulsive hybrid systems, based on the Lyapunov function. The results are then specialized to the linear discrete-time impulsive hybrid systems and fairly simple algebraic co...