- 期刊
Stability of a Time Discrete Perturbed Dynamical System with Delay
並列摘要
Let C^n be the set of n complex vectors endowed with a norm ||．||_(C^n). Let A, B be two complex n x n matrices and Ƭ a positive integer. In the present paper we consider the nonlinear difference equation with delay of the type U_k+1 = Au_k + Bu_(k-Ƭ) + F_k(u_k, u_(k-Ƭ)), k = 0, 1, 2,…, where F_k : C^n x C^n → C^n satisfies the condition ||F_k(x,y)||_(c^n) ≤ P||x||_(c^n) + q||Y||_(c^n), k = 0, 1, 2,..., where p and q are positive constants. In this paper, absolute stability conditions for this equation are established.
延伸閱讀
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