Estimate of total stability of delay difference systems
نویسندگان
چکیده
منابع مشابه
Improved Estimate of Time-delay for Stability of Linear Systems
The robust stability problem of uncertain linear time-delay systems is investigated using a refined discretized Lyapunov functional approach. The uncertainty under consideration is norm-bounded, and possibly time-varying. A new stability criterion is derived. The computational requirement is reduced for the same discretization mesh. Examples show that the results obtained by this new criterion ...
متن کاملA 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...
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 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...
متن کاملStability of Time-Delay Systems
The importance of time delays in control is now well recognized in a wide range of applications (transportation systems, communication networks, teleoperation systems, etc.). However, even if some fundamental results were obtained 40 years ago during the early space explorations (Bellman & Cooke, 1963; Morse, 1976; Kamen, 1978; Manitius & Triggiani, 1978), time-delay systems have actually been ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1999
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(99)00111-x