Direct method for TDS stability analysis. (English) Zbl 0636.93066
An effective direct method for stability analysis of time-delay systems with commensurate delays is proposed on the base of finite polynomial techniques. In particular, a necessary and sufficient condition for the system to be asymptotically stable for all non-negaive delays is given. Illustrative examples are also presented.
Reviewer: V.Marcenko
MSC:
| 93D20 | Asymptotic stability in control theory |
| 34K20 | Stability theory of functional-differential equations |
| 93C05 | Linear systems in control theory |
| 93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |
