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Delay-dependent Stabilization of Singular Systems with Multiple Internal and External Incommensurate Constant Point Delays  

Xie, Yong-Fang (School of Information Science and Engineering, Central South University)
Gui, Wei-Hua (School of Information Science and Engineering, Central South University)
Jiang, Zhao-Hui (School of Information Science and Engineering, Central South University)
Publication Information
International Journal of Control, Automation, and Systems / v.6, no.4, 2008 , pp. 515-525 More about this Journal
Abstract
In this paper, the problem of delay-dependent stabilization for singular systems with multiple internal and external incommensurate constant point delays is investigated. The condition when a singular system subject to point delays is regular independent of time delays is given and it can be easily test with numerical or algebraic methods. Based on Lyapunov-Krasovskii functional approach and the descriptor integral-inequality lemma, a sufficient condition for delay-dependent stability is obtained. The main idea is to design multiple memoryless state feedback control laws such that the resulting closed-loop system is regular independent of time delays, impulse free, and asymptotically stable via solving a strict linear matrix inequality (LMI) problem. An explicit expression for the desired memoryless state feedback control laws is also given. Finally, a numerical example illustrates the effectiveness and the availability for the proposed method.
Keywords
Delay-dependent stabilization; descriptor integral-inequality; point delays; singular systems; state feedback control;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 3  (Related Records In Web of Science)
Times Cited By SCOPUS : 6
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