Quantitative analysis of hybrid parabolic systems with Markovian regime switching via practical stability

DOI10.1016/j.nahs.2008.04.004zbMath1217.35021OpenAlexW2071849476MaRDI QIDQ534406

Yong-Cai Geng, Sumit K. Garg

Publication date: 17 May 2011

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2008.04.004

zbMATH Keywords

large-scale systemsstochastic stabilityvector-Lyapunov-like functionals

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20) Ordinary differential equations and systems with randomness (34F05) PDEs with randomness, stochastic partial differential equations (35R60) Comparison principles in context of PDEs (35B51)

Related Items (3)

Mild solutions of local non-Lipschitz neutral stochastic functional evolution equations driven by jumps modulated by Markovian switching ⋮ Practical stability of nonlinear stochastic hybrid parabolic systems of Itô-type: vector Lyapunov functions approach ⋮ On the exponential stability of switching-diffusion processes with jumps

Cites Work

• Qualitative properties of stochastic iterative processes under random structural perturbations
• Criteria for practical stability in the \(p\)th mean of nonlinear stochastic systems
• Optimal practical stabilization and controllability of systems with Markovian jumps
• Stability of stochastic differential equations with Markovian switching
• Stability and convergence via Lyapunov-like functionals of stochastic parabolic partial differential equations
• Multiplex control systems: stochastic stability and dynamic reliability
• Convergence and stability analysis of system of partial differential equations under Markovian structural perturbations–i: vector lyapunov–like functions
• Convergence and stability analysis of system of partial differential equations under Markovian structural perturbations–ii:vextor Lyapunov–like functionals
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