k-Exponential stability of nonlinear delay systems

Exponential Stability of Nonlinear Stochastic Systems with Time-delay

This note studies the exponential stability of nonlinear stochastic systems with time delay. Firstly, a more general Lyapunov-Krasovskii functional is constructed, and based on Ito calculus rules for stochastic systems, a novel delay-dependent sufficient condition for exponential stability in mean square is derived in terms of linear matrix inequalities, and it is proved in theory that the obta...

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...

Exponential Delay-dependent Stability for Linear Discrete Time Delay Systems

To satisfy the performance specification and to have a good transient response of the system, the controlled system is often designed to possess a specific stability degree. If the controlled system has a stability degree  , we say that the system is exponentially stable. This paper gives sufficient condition for the exponential stability of linear discrete time delay systems. This new, delay-...

Exponential stability of hybrid switched nonlinear singular systems with time-varying delay

We address exponential stability of switched nonlinear singular systems with time-delay in which delay is time varying and presents in the states. For switched nonlinear singular time-delay systems with average dwell-time switching signals, we provide sufficient conditions, in terms of linear matrix inequalities (LMIs) to guarantee the exponential stability of such systems. By using Lyapunov–li...

On exponential stability of nonlinear differential systems with time-varying delay