Abstract

Abstract In this article, the generalized quasi-one-sided Lipschitz condition is drawn into the topic of observer design for a kind of discrete-time nonlinear systems with multiple delays. The sufficient conditions for the asymptotic stability of full-order observer and reduced-order observer for systems are proposed, respectively. Under this condition, the two types of observers for systems can be designed, although the system parameter (A 0,C) is not detectable.

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