Exponential Stability for Switched Systems with Mixed Time Delays
نویسندگان
چکیده
The global exponential stability problem for a class of switched systems with mixed time delays is investigated in this paper. LMI-based delay-dependent and delay-independent criteria are proposed to guarantee the exponential stability for our considered systems. Razumikhin-like approach and Leibniz-Newton formula are used to find the stability results. Finally, a numerical example is illustrated to show the improved results from using this method.
منابع مشابه
Exponential Stability of Switched Systems with Mixed Time Delays
This paper address the exponential stability for a class of switched systems with mixed time delays. Based on linear matrix inequalities and Lyapunov-Krasovskii functional approach, a geometrically switching rule for the exponential stability of the system is designed. The approach allows to compute simultaneously the two bounds that characterize the exponential stability rate of the solution. ...
متن کاملExponential 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 ...
متن کاملGlobal Asymptotic and Exponential Stability of Tri-Cell Networks with Different Time Delays
In this paper, a bidirectional ring network with three cells and different time delays is presented. To propose this model which is a good extension of three-unit neural networks, coupled cell network theory and neural network theory are applied. In this model, every cell has self-connections without delay but different time delays are assumed in other connections. A suitable Lyapun...
متن کاملExponential Stability of Uncertain Switched Systems with Multiple Non-differentiable Time-varying Delays
In this paper, the design of switching rule for exponential stability of a class of uncertain switched systems with delays is studied. The systems to be considered are linear and the state delays are time-varying. Based on Lyapunov functional and average dwell time approach, condition on the derivative of time-delay functions are not need to design switching rule for the exponential stability o...
متن کاملSwitching Rule for the Exponential Stability and Stabilization of Switched Linear Systems with Interval Time-varying Delays
This paper is concerned with exponential stability and stabilization of switched linear systems with interval time-varying delays. The time delay is any continuous function belonging to a given interval, in which the lower bound of delay is not restricted to zero. By constructing a suitable augmented Lyapunov-Krasovskii functional combined with Leibniz-Newton’s formula, a switching rule for the...
متن کامل