The Stability Conditions of Time-varying and Neural Large-scale Systems
- Received Date: 2001-06-13
- Publish Date: 2001-12-15
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Key words:
- neural conditions /
- time-delay /
- large-scale system /
- asymptotic stability /
- exponential stability
Abstract: In this paper, the problem of asymptotic stability for two kinds of systems, the time-varying and time-delay system as well as the connective time-delay system, are studied by utilizing the method of decomposition for large-scale system and a generalized inequality. The sufficient conditions of asymptotic stability for the systems are concluded from the research. It also discusses a kind of neural time-delay large-scale system. A method of discrimination for the exponential stability of the solution of a neural time-delay system is obtained by applying method of constant change and the direct estimation on the solution of differential equation. All the discussions for the two kinds of systems are under the complicated situation with connective time-varying and time-delay, the results obtained from this research are different from the results reported by any bibliography ever before.
Citation: | Cao Kecai, Zhong Shouming. The Stability Conditions of Time-varying and Neural Large-scale Systems[J]. Journal of University of Electronic Science and Technology of China, 2001, 30(6): 643-646. |