Stability analysis of delay difference systems
نویسندگان
چکیده
منابع مشابه
A Note on Asymptotic Stability of Delay Difference Systems
This nice result is proved by using the fact that the zero solution of the linear difference equation is asymptotically stable if and only if all the roots of its associated characteristic equation are inside the unit disk. Here, the Schur-Cohn criterion (see [2, 5]) and the Jury criterion (see [3]) are known to be effective tools for determining the asymptotic stability of linear difference sy...
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Considering the linear delay difference system x n 1 ax n Bx n − k , where a ∈ 0, 1 , B is a p × p real matrix, and k is a positive integer, the stability domain of the null solution is completely characterized in terms of the eigenvalues of the matrix B. It is also shown that the stability domain becomes smaller as the delay increases. These results may be successfully applied in the stability...
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This paper considers interval time-varying delay systems. The time-delay interval is divided into several zones and the systems switch among the different zones. Based on LyapunovKrasovskii functional methods and linear matrix inequality (LMI) techniques, Exponential stability is exploited for every time-delay zone. The global stability of the switched system is guaranteed if some minimum avera...
متن کاملDelay-Dependent Stability Analysis of Linear Time Delay Systems
Stability of time delay systems is investigated considering the delay-dependent case. The system without delays is assumed stable and conservative conditions are derived for finding the maximal delay that preserves stability. The problem is treated in the quadratic separation framework and the resulting criteria are formulated as feasibility problems of Linear Matrix Inequalities. The construct...
متن کاملStability of a Delay Difference System
We consider the stability problem for the difference system xn = Axn−1 +Bxn−k, where A, B are real matrixes and the delay k is a positive integer. In the case A=−I , the equation is asymptotically stable if and only if all eigenvalues of the matrix B lie inside a special stability oval in the complex plane. If k is odd, then the oval is in the right half-plane, otherwise, in the left half-plane...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1997
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(97)00075-8