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Quadratic Stability of a Singular Perturbation System(PDF)


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Quadratic Stability of a Singular Perturbation System
CAI Chen xiaoZOU Yun
Department of Automation, NUST, Nanjing 210094,China
sing ular perturbat ion quadrat ic stability slow subsystem fast subsystem
Robust stability is studied for sing ularly perturbed system with tw o-scale-t ime. The concept of quadrat ic stability is generalized to singularly perturbed system from regular cont inuous system. The equivalence of quadrat ic stability is proved betw een singular perturbat ion system and it s subsystems.A suff icient and necessary condit ion is found for robust stability of singular perturbat ion system.


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Last Update: 2013-03-11