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|Title:||New results on stability and stabilisation of systems with interval time-varying delay|
|Citation:||IET Control Theory and Applications, 2011; 5(3):429-436|
|Publisher:||Institution of Engineering and Technology|
|J. Zhang, Y. Xia, P. Shi, M.S. Mahmoud|
|Abstract:||This study is concerned with the stability and stabilisation for systems with interval time-varying delay. First, by appropriately choosing Lyapunov functional and using Finsler's lemma, a new delay-dependent stability criteria involving the minimum and maximum delay bounds is obtained. Second, new results for delay-dependent stabilisation of systems with interval time-varying delay are provided on the basis of a linear matrix inequality (LMI) framework. Both state- and observer-based output feedback controllers are designed. Differing existing design approach of observer-based controller, a single-step approach is proposed to overcome the drawback of the two-step LMI approach often encountered in the literature, and the conditions are also delay dependent. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.|
|Rights:||© The Institution of Engineering and Technology 2011|
|Appears in Collections:||Electrical and Electronic Engineering publications|
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