Results 11 to 20 of about 7,305,081 (289)
Mean Square Stability of Impulsive Stochastic Differential Systems [PDF]
International Journal of Differential Equations, 2011 Based on Lyapunov-Krasovskii functional method and stochastic analysis theory, we obtain some new delay-dependent criteria ensuring mean square stability of a class of impulsive stochastic equations.
Shujie Yang, Bao Shi, Mo Li
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MEAN SQUARE STABILITY AND STABILIZATION FOR STOCHASTIC NONLINEAR OSCILLATIONS [PDF]
IFAC Proceedings Volumes, 2007 Abstract An exponential mean square stability for the limit cycles of nonlinear stochastic systems is considered. The first approximation linear systems are introduced and a notion of P-stability (projective) is proposed. A spectral criterion for P-stability is obtained.
Lev Ryashko, Ryashko, L.
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A-Stability and Stochastic Mean-Square Stability
BIT Numerical Mathematics, 2000 The author considers the mean-square stability of the stochastic differential equation for the test problem with multiplicative noise proposed by \textit{Y. Saito} and \textit{T. Mitsui} [SIAM J. Appl. Math. 56, No. 5, 1400-1423 (1996; Zbl 0869.60053)]. It quantifies precisely the point where unconditional stability is lost.
Higham, D.J.
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Mean Square Exponential Stability of Stochastic Delay Differential Systems with Logic Impulses
Mathematics, 2023 This paper focuses on the mean square exponential stability of stochastic delay differential systems with logic impulses. Firstly, a class of nonlinear stochastic delay differential systems with logic impulses is constructed. Then, the logic impulses are
Chunxiang Li +4 more
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Mathematics, 2022 In this paper, the mean-square strong stability and stabilization of discrete-time Markov jump systems are studied. Firstly, the definition of mean-square strong stability is given, and the necessary and sufficient conditions for mean-square strong ...
Zhiguo Yan, Fangxu Su
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Generalized Mean Square Exponential Stability for Stochastic Functional Differential Equations
MathematicsThis work focuses on a class of stochastic functional differential equations and neutral stochastic differential functional equations. By using a new approach, some sufficient conditions are obtained to guarantee the generalized mean square exponential ...
Tianyu He, Zhi Li, Tianquan Feng
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Mean square stability of difference equations with a stochastic delay
Nonlinear Analysis: Theory, Methods & Applications, 2003 The subject of the paper is a nonlinear nonautonomous delay difference equation \[ x(n+1) = f(n,x(n),x(n-1),\dots, x(n-\eta(n+1)),\quad n\in \mathbb N. \] The function \(\eta: \mathbb N \to \{ 1,2,\dots,r \}\) counts the number of delays, it is subject to a discrete Markov process.
Kolmanovskii, V.B. +2 more
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Mean square stability for discrete linear stochastic systems. [PDF]
, 1993 Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol ...
Schurz, Henri
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Journal of Inequalities and Applications, 2011 In this article, some inequalities on convolution equations are presented firstly. The mean square stability of the zero solution of the impulsive stochastic Volterra equation is studied by using obtained inequalities on Liapunov function, including mean
Zhao Dianli, Han Dong
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Mean Square Stability Analysis of Some Linear Stochastic Systems
, 1996 Mean square stability analysis of some continuous and discrete time stochastic systems is carried out in this paper. We present a general approach to mean square stability investigation of systems with multiplicative noise and apply presented theory to discretized linear oscillators as often met in Mechanical Engineering.
Ryashko, Lev B., Schurz, Henri
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