Asynchronous finite-time stabilisation of switched systems with average dwell time

The problem of asynchronous finite-time stabilisation for a class of switched systems with average dwell time is investigated. The time-delays the authors considered are present in both the feedback state and switching signal. Based on average dwell time, merging switching signal and linear matrix inequalities technology, some sufficient conditions are proposed to guarantee that the closed-loop switched system is finite-time stabilisable. An example is given to illustrate the effectiveness of the method proposed.