Convergence and stability analysis of system of partial differential equations under Markovian structural perturbations–i: vector lyapunov–like functions

DOI10.1080/07362990008809683zbMath0962.60051OpenAlexW4243783782MaRDI QIDQ4495498

M. J. Anabtawi, Gangaram S. Ladde

Publication date: 4 June 2001

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

Full work available at URL: https://doi.org/10.1080/07362990008809683

zbMATH Keywords

asymptotic stabilitystability in probabilityrandom partial differential equations

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (7)

Stability and convergence via Lyapunov-like functionals of stochastic parabolic partial differential equations ⋮ 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 ⋮ Quantitative analysis of hybrid parabolic systems with Markovian regime switching via practical stability ⋮ Stability and Convergence Results for Itô-Type Parabolic Partial Differential Equations in Hilbert Spaces ⋮ Itô-Type Stochastic Parabolic Partial Differential Equations in Hilbert Spaces: Stability and Convergence Results via Lyapunov-Like Functions ⋮ Convergence and stability analysis of system of partial differential equations under Markovian structural perturbations–ii:vextor Lyapunov–like functionals

Cites Work

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• Random differential inequalities
• Differential inequalities and stability and boundedness of stochastic differential equations
• Multiplex control systems: stochastic stability and dynamic reliability
• Stability and convergence of large-scale stochastic approximation procedures

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