Robustness Analysis of Global Exponential Stability of Nonlinear Systems With Deviating Argument and Stochastic Disturbance

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...

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...

Mildly dissipative nonlinear Timoshenko systems — global existence and exponential stability

Robustness analysis for parameter matrices of global exponential stability time varying delay systems

This paper analyzes the robustness of global exponential stability time varying delay systems subjected to parameter uncertainty. Given a globally exponentially stable time varying delay systems, the problem to be addressed herein is how much parameter uncertainty the systems can withstand to be globally exponentially stable. We characterize the upper bounds of the parameter uncertainty for the...

Exponential Stability of Linear Systems with Multiple Time Delays

In this paper, a class of linear systems with multiple time delays is studied. The problem of exponential stability of time-delay systems has been investigated by using Lyapunov functional method. We will convert the system of multiple time delays into a single time delay system and show that if the old system is stable then the new one is so. Then we investigate the stability of converted new ...