Sufficient conditions for finite-time stability of a descriptor quadratic interconnected system via convex optimization

In this paper, finite-time stability (FTS) for a class of descriptor quadratic interconnected system is addressed. Firstly, according to descriptor systems theory and method of analysis based on convex optimization, a new sufficient condition forFTS of descriptor quadratic interconnected system is derived which is the promotion of FTS criterion of normal system. Furthermore, finding a state feedback controller which stabilizes theclosedloop system in finite-time these conditions are exploited to analyze. Finally, these conditions are given in terms of the feasibility of a convex optimization problem involving linear matrix inequalities, and numerical example illustrates the effectiveness of the proposed method.