Practical stability criteria for large-scale nonlinear stochastic systems by decomposition and aggregation (Q2720149)
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scientific article; zbMATH DE number 1610708
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Practical stability criteria for large-scale nonlinear stochastic systems by decomposition and aggregation |
scientific article; zbMATH DE number 1610708 |
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26 February 2002
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large-scale nonlinear stochastic systems
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practical stability
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comparison principle
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Practical stability criteria for large-scale nonlinear stochastic systems by decomposition and aggregation (English)
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The concept of practical stability has been extended for the large-scale stochastic systems with random initial conditions. The concept of vector Lyapunov-like functions coupled with the decomposition-aggregation techniques and a comparison theorem [\textit{G. S. Ladde} and \textit{B. A. Lawrence}, Int. J. Syst. Sci. 26, 595-618 (1995; Zbl 0830.93075)] are utilized, and sufficient conditions are established for various types of practical stability criteria in the \(p\)-th mean and in the probability of the equilibrium state of the system under the stochastic structural perturbations.
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