Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11017701 | Applied Mathematics and Computation | 2019 | 15 Pages |
Abstract
This paper addresses the stochastic stability and stabilization problems for a class of semi-Markovian jump systems (SMJSs) with time-varying delay, where the time-varying delay Ï(t) is assumed to satisfy Ï1â¯â¤â¯Ï(t)â¯â¤â¯Ï2. Based on the flexible terminal approach, the time-varying delay Ï(t) is first transformed such that Ï1(t)â¯â¤â¯Ï(t)â¯â¤â¯Ï2(t). By utilizing a novel semi-Markovian Lyapunov Krasoviskii functional (SMLKF) and an improved reciprocally convex inequality (RCI), sufficient conditions are established to guarantee a feasible solution. Two illustrated examples are shown the effectiveness of the main results.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Dian Zhang, Jun Cheng, Choon Ki Ahn, Hongjie Ni,