Stability criteria of switched systems with a binary -dependent average dwell time approach

This paper proposes a new concept of binary -dependent average dwell time, which describes different types of switching signals by the different grouping function Bϝ for switched systems. Then, combing with the improved multiple Lyapunov function approach, the issues of stability and stabilisation for switched linear systems under the proposed strategy are investigated for the first time, which unify the classical average dwell time (ADT), mode dependent ADT, edge dependent ADT, and Φ dependent ADT, and are more flexible and practical than other existing criteria. Finally, a numerical example is given to illustrate the effectiveness of the obtained results.