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- W241008065 abstract "This paper is concerned with a unified framework for asymptotic and transient behavior of stochastic systems. In order to explain this problem explicitly, a concept of mean square (γ, α)-stability is first introduced and two stability criteria are derived. By utilizing an auxiliary definition of mean square (γ, T)-stability, the relations among mean square (γ, α)-stability, mean square (γ, T)-stability and finite-time stochastic stability are established. Subsequently, two new sufficient conditions for the existence of state and output feedback mean square (γ, α)-stabilization controllers are presented in terms of matrix inequalities. A numerical algorithm is given to obtain the relation between γmin and α. Finally, an example is given to illustrate our results." @default.
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- W241008065 date "1982-08-01" @default.
- W241008065 modified "2023-09-26" @default.
- W241008065 title "Stochastic differential equations and diffusion processes" @default.
- W241008065 doi "https://doi.org/10.1016/0377-2217(82)90101-1" @default.
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