Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5004828 | ISA Transactions | 2014 | 6 Pages |
Abstract
This paper mainly intends to present new stability results of a discrete-time switched system with unstable subsystems. By adopting multiple Lyapunov functions׳ (MLFs׳) method, new and less conservative stability conditions are derived in terms of a set of numerical feasible linear matrix inequalities (LMIs) with mode-dependent average dwell time (MDADT) techniques. Different from previous literatures, unstable subsystems are considered under two situations in this paper. It is shown that the discrete-time switched system can achieve exponential stability under a slow switching scheme and even in the presence of fast switching of unstable subsystems. Finally a numerical example is given to demonstrate the effectiveness of the proposed method.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Hongbin Zhang, Dehua Xie, Hongyu Zhang, Gang Wang,