Delay-dependent exponential stability of stochastic systems with time-varying delay, nonlinearity, and Markovian switching
By Dong Yue, Qing-Long Han. IEEE Transactions on Automatic Control, 2005
432 citations recorded by the source corpus.
The problem of delay-dependent stability in the mean square sense for stochastic systems with time-varying delays, Markovian switching and nonlinearities is investigated. Both the slowly time-varying delays and fast time-varying delays are considered. Based on a linear matrix inequality approach, delay-dependent stability criteria are derived by introducing some relaxation matrices which can be chosen properly to lead to a less conservative result. Numerical examples are given to illustrate the effectiveness of the method and significant improvement of the estimate of stability limit over some existing results in the literature.
Subfields: Computer Networks and Communications, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/40fbf41a570838900df3c27a4032f113f6593278
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Citations in the corpus
- Stability analysis and control for switched stochastic delayed systems (2016, background): “Furthermore, when compared with [21, 22], the computational complexity of Theorem 1 in this paper is reduced significantly because of its avoidance of additional freeweighting matrices.”
- A survey of linear matrix inequality techniques in stability analysis of delay systems (2008, neutral): “…and Liao 2004; Chen, Feng, and Guan 2005; Guan, Chen, and Xu 2005; Liu, Zhang, and Zhang 2005; Palhares, Campos, Ekel, Leles, and D’Angelo 2005a,b; Yue and Han 2005b; Zhang, Wu, She, He 2005; Huang, Li, and Zhong 2006; Lam and Leung 2006; Lin, Wang, and Lee 2006c; Liu, Martin, Wu, and Tang 2006;…”
- Delay‐dependent stability of nonlinear hybrid neutral stochastic differential equations with multiple delays (2020, neutral): “0 EU1(x(t), t) dt < ∞, (15) sup 0≤t<∞ EU(x(t), t, r(t)) < ∞, (16)”
- Exponential H ∞ filtering for stochastic Markovian jump systems with time delays (2014, methodology): “Compared with some existing results for stochastic delay systems, such as [19, 35], Theorem 1 has been established by applying the first two equivalent conditions of GFL, and it does not involve any model transformations, cross term bounding techniques (including Jensen’s inequality in [10]), or add”
- Networked Synchronization Control of Coupled Dynamic Networks With Time-Varying Delay (2010, background): “The linear delay interval systems and the nonlinear systems with timevarying delays were considered in [28] and [29], respectively.”
- H∞ filtering for Markovian jump systems with time-varying delays (2010, background): “The next is similar to the existing references such as [1, 17,20],we have the augmented systems (6) is stochastically stable .”
- Stochastic stability of semi‐Markovian jump systems with mode‐dependent delays (2014, methodology): “1 has the same conservatism with the previous result in [25] and [33] (m D 1).”