Finite‐time asynchronous dissipative filtering for Markovian jump systems with time‐varying delays and randomly occurred nonlinearity

This is the authors' abstract. We don't add key points for this paper.

Summary The finite‐time dissipative filtering problem for time‐varying delayed Markovian jump systems with randomly occurred nonlinearity is addressed in this article. The modes of the desired filter are supposed to be asynchronous with the modes of the original system, which is more in line with the practical situation. The purpose of the problem under investigation is an asynchronous filter design which could make the error system finite‐time bounded as well as strictly dissipative. By constructing novel Lyapunov–Krasovskii functionals that covers the aforementioned two asynchronous modes and utilizing the theory of finite‐time analysis, some sufficient conditions are put forward to obtain the desired asynchronous filter by virtue of the linear matrix inequalities approach. A numerical example and a tunnel diode circuit are finally provided to demonstrate the effectiveness of our proposed method.