Bilaterally Flexible Lyapunov Inequalities for Nonlinear Small-Gain Method Covering iISS Systems
نویسنده
چکیده
This paper develops a new tool to study stability of interconnection of integral input-to-state stable (iISS) systems. A sort of freedom is introduced into Lyapunov inequalities each system is to satisfy in addition to small-gain-type conditions. The purpose of this paper is to extend the technique of “flexible Lyapunov inequalities” developed previously for input-tostate stable(ISS) systems. The achievement is threefold. One is the employment of flexibility for both the systems connected with each other. The former technique only allows the flexibility to appear in one of the mutually connected systems. The second accomplishment is to cover iISS systems. The third is unification of the treatment of iISS and ISS systems. Establishment of stability is based on explicit construction of smooth Lyapunov functions.
منابع مشابه
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تاریخ انتشار 2008