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Practical stability criteria for large-scale nonlinear stochastic systems by decomposition and aggregation. (English) Zbl 0988.93086
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 [G. S. Ladde and 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.
MSC:
93E15Stochastic stability
93E20Optimal stochastic control (systems)
93A15Large scale systems
34D20Stability of ODE