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Zbl 0988.93086
Sathananthan, S.; Suthaharan, S.
Practical stability criteria for large-scale nonlinear stochastic systems by decomposition and aggregation. (English)
[J] Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 8, No.2, 227-248 (2001). ISSN 1201-3390; ISSN 1918-2538/e

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 [{\it G. S. Ladde} and {\it 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.
[Anatoly Martynyuk (Ky\" iv)]

MSC 2000:: *93E15 Stochastic stability
93E20 Optimal stochastic control (systems)
93A15 Large scale systems
34D20 Lyapunov stability of ODE

Keywords: large-scale nonlinear stochastic systems; practical stability; comparison principle

Citations: Zbl 0830.93075

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