Stabilization of continuous-time randomly switched systems via the LMI approach'

This paper is concerned on the stabilization problem of continuous-time switched systems with random switching signal where the dwell time in each subsystem consists of a fixed part and random part. New sufficient conditions for stabilizing controllers including mode-independent case are provided in terms of LMIs, which could be solved directly. Moreover, the obtained results are extended to a more general case that the corresponding operation mode of a controller experiences a disordering phenomenon. Without designing a controller depending on new operation modes (NOMs), a kind of controller only depending on the original operation modes (OOMs) is proposed and satisfies a minimum variance approximation, whose solvable conditions are also with LMI forms. Finally, numerical examples are used to demonstrate the effectiveness of the proposed methods. (C) 2015 Elsevier Inc. All rights reserved.