Exponential Stability Of Switched Systems Research Articles

Exponential Stability of Switched Systems with Unstable Subsystems: A Mode-Dependent Average Dwell Time Approach

This article studies the exponential stability of switched systems with unstable subsystems. By using the multiple Lyapunov function (MLF) method combined with mode-dependent average dwell time (MDADT) techniques, less conservative exponential stability conditions are derived in terms of a set of solvable linear matrix inequalities (LMIs). Compared to the existing results, unstable subsystems are considered based on MDADT in this paper. It is revealed that switched systems can be exponentially stable under slow switching schemes and also in the presence of fast switching of unstable subsystems. A numerical example and its simulations are also given to verify the effectiveness of the proposed method.

Exponential Stability for Switched Systems with Mixed Time Delays

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.