Abstract
This paper is concerned with the problems of stability and stabilization of impulsive switched system with time delays. First, a novel Razumikhin function is constructed; then based on LMI approach and optimization techniques, we derive our theoretical result with good properties; subsequently, we extend our results to the case with perturbations. Finally, numerical simulations are provided to demonstrate the effectiveness of the proposed techniques. © 2012 The Franklin Institute.
| Original language | English |
|---|---|
| Pages (from-to) | 2650-2663 |
| Number of pages | 14 |
| Journal | Journal of the Franklin Institute |
| Volume | 349 |
| Issue number | 8 |
| Early online date | 19 Jun 2012 |
| DOIs | |
| Publication status | Published - Oct 2012 |
| Externally published | Yes |
Funding
This research has been supported by key projects of Xihua University ( Z1120946 ), National Key Basic Research Program, China ( 2012CB215202 ), the 111 Project ( B12018 ) and the National Natural Science Foundation of China ( 61170030 , 61174058 ).