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By using the stochastic stability theory, Itô's differential formula and Young inequality, the criteria are derived.
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Using the stochastic Lyapunov stability theory and Itô's differential rule, a full-order filter is designed for all admissible uncertainties and time-varying delay, which is expressed in the form of linear matrix inequality (LMI).
In this paper, power system voltage stability is analyzed using the stochastic response surface method (SRS M.
By means of stochastic transformations of state norm process, the stability boundaries are determined using the stochastic averaging method and a technique due to Khasminskii.
A sufficient condition is firstly established on the stochastic stability using stochastic Lyapunov Krasovskii functional.
A sufficient condition is firstly established on the stochastic stability by using stochastic Lyapunov Krasovskii functional approach.
By using mode-dependent Lyapunov Krasovski functionals, appropriate conditions for the stochastic stability and disturbance attenuation of mixed GRN/filter system is derived.
In this paper, the authors analyze the stochastic stability of the H∞ Sparse-grid Quadrature Kalman Filtering (H∞-SGQKF) used in nonlinear stochastic discrete-time systems with nonlinear state dynamic equation and nonlinear transition function.
By using appropriate stochastic Lyapunov Krasovskii functional, sufficient conditions are initially established on the existence of mode-dependent peak-to-peak filter which also guarantees the stochastic stability of the filtering error dynamic systems.
Then Appleby and Rodkina [15] discussed the stochastic stability and stochastic asymptotic stability of a nonlinear Volterra difference equation.
The proposed approaches derive sufficient conditions such that the regularity and the absence of impulses are assured as well as the stochastic stability and robust stochastic stability.
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