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| STABILITY OF DELAY DIFFERENTIAL SYSTEMS BY SEVERAL LIAPUNOV FUNCTIONS | |
| 作者姓名： | 张书年 吴述金 |
| 基金项目： | the National Natural Science Foundations of China No.19831030. |
| 摘 要： | 1 IntroductionConsider the functional differential equations (FDE's) with finite delay ofthe form:where x,(0) = x(t 0) for --r 5 0 5 0 with some r 2 0 and f: T, co] x C RI with C = C(--r, 0], R') the space of continuous functions mapping --r, 0]into l-dimensional real space RI. For any yi E C we define the norm of yi as:where l' I is any norm in RI.Inspired by the ideas in l--3], we develop a new technique in this work tostudy the stability of FDE's, where the components xl) xZt… |
STABILITY OF DELAY DIFFERENTIAL SYSTEMS BY SEVERAL LIAPUNOV FUNCTIONS |
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| Abstract: | |
| Keywords: | differential systems with finite delay uniform stability asymptotic stability uniformly asymptotic stability |