H filtering for switched discrete-time systems under asynchronous switching: A dwell-time dependent Lyapunov functional method

In this article, the H filtering problem for switched discrete-time linear systems under asynchronous switching is addressed in the framework of dwell time, where asynchronous switching' covers more general and practical cases, for example, the switching lags caused by mode identification process are taken into consideration. Firstly, a novel dwell-time dependent Lyapunov function (DTDLF) is introduced to solve stability and (2) gain analysis problems. The main advantage of DTDLF approach is that the derived conditions are all convex in system matrices, so it is convenient to be applied into filter design with H performance instead of weighted H performance as many other previous results. Thus, on the basis of DTLDF, a dwell-time dependent filter with time-varying structure is proposed to achieve the desirable non-weighted H filtering performance. It is notable that the proposed approach can also easily characterize the relationships among H filtering performance, dwell time, and async