Abstract
This paper addresses the stability problem for switched systems with time-varying delay and parametric uncertainties. The main idea is to construct new piecewise time-varying Lyapunov functionals/functions such that they are decreasing at switching time instants in spite of their discontinuity at those switching time instants. Then the constructed piecewise time-varying Lyapunov functionals/functions are used to derive sufficient conditions for the existence of delay-independent minimum dwell time, which guarantee the exponential stability of switched delay systems for any bounded delays. The theoretical findings are validated by an illustrative example.
| Original language | English |
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| Title of host publication | 49th IEEE Conference on Decision and Control (CDC 2010), December 15-17, 2010, Hilton Atlanta Hotel, Atlanta, GA, USA : Proceedings |
| Publisher | IEEE Press |
| Pages | 426-431 |
| Number of pages | 6 |
| ISBN (Print) | 9781424477456 |
| Publication status | Published - 2010 |
| Event | IEEE Conference on Decision and Control - Duration: 12 Dec 2017 → … |
Conference
| Conference | IEEE Conference on Decision and Control |
|---|---|
| Period | 12/12/17 → … |
Keywords
- linear matrix inequalities
- stability analysis