منابع مشابه
Stability 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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This paper is evolved to have insight of Plankton-Nutrients interactions in the presence of delay in the growth term of phytoplankton species .The conditions for asymptotic stability about endemic equilibrium are derived in the absence of delay.The Nyquist criteria is used to estimate the length of delay to preserve stability .Analytic criterion for the existence of hopf-bifurcation is also dis...
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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...
متن کاملStability Results for a Class of Difference Systems with Delay
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...
متن کاملThe Stability Cone for a Matrix Delay Difference Equation
Parameters of linear systems are subject to time changes. That is why in order to construct such systems it is desirable to know if they are not only stable but also able to estimate the distance of the system from the boundary of the stability region in the parameter space. Therefore, it makes sense to investigate the geometry of the subset of stable polynomials in the space of characteristic ...
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2006
ISSN: 1687-1839,1687-1847
DOI: 10.1155/ade/2006/31409