An infinite ∍-bound stability criterion for a class of multiparameter singularly perturbed time-delay systems

Chiou, Juing-Shian; Wang, C. J.

doi:10.1080/00207720500156421

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Cited by 5 publications

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“…The robustness of stability is often referred to as the problem of determining the stability bound such that the system is stable for all ∈ (0, 0 ] or (0, 0 ) [6]. Characterization and computation of this stability bound have attracted a number of researchers [6][7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Stability analysis and control of Lur'e singularly perturbed uncertain systems

Zhang

Naidu

Cai

2014

Proceedings of the 33rd Chinese Control Conference

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In this paper, the absolute stability and feedback control problems of Lur'e singularly perturbed uncertain systems are investigated. An -dependent Lyapunov function is constructed. Using the Lyapunov theory and Linear Matrix Inequalities (LMIs) technique, the conditions of absolute stability of the system without disturbances are derived. Then, a method of designing feedback controller is developed which can guarantee the absolute stability of the Lur'e singularly perturbed uncertain systems. A numerical example is given to show the effectiveness of the criteria.

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