Razumikhin method and exponential stability of hybrid stochastic delay interval systems

DOI10.1016/j.jmaa.2005.03.056zbMath1127.60072OpenAlexW2031288753MaRDI QIDQ2577450

Xuerong Mao, Huijun Gao, James Lam, Shengyuan Xu

Publication date: 22 December 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.03.056

zbMATH Keywords

exponential stabilityBrownian motionMarkov chainM-matrixinterval matrixRazumikhin method

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50) Continuous-time Markov processes on discrete state spaces (60J27)

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Cites Work

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• Sufficient conditions for the stability of interval systems with multiple time-varying delays
• Random differential inequalities
• Exponential stability of stochastic delay interval systems
• Stability of stochastic differential equations with Markovian switching
• Stability of a random diffusion with linear drift
• Stochastic differential delay equations with Markovian switching
• Controllability, stabilizability, and continuous-time Markovian jump linear quadratic control
• Necessary and sufficient conditions for the Hurwitz and Schur stability of interval matrices
• Necessary and sufficient conditions for the controllability and observability of a class of linear, time-invariant systems with interval plants
• Robustness of exponential stability of stochastic differential delay equations
• Exponential stability of stochastic delay interval systems with Markovian switching

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