Stochastic matrix–valued lyapunove function and its application

DOI10.1080/07362998708809127zbMath0643.93067OpenAlexW2001697846MaRDI QIDQ3786380

Anatoly Martynyuk

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/07362998708809127

zbMATH Keywords

large scale systemsstability in probabilitymatrix Lyapunov function

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stochastic stability in control theory (93E15) Large-scale systems (93A15)

Cites Work

• Hierarchical Lyapunov functions
• Qualitative analysis of large scale dynamical systems
• Stability analysis of interconnected systems with possibly unstable subsystems
• The Lyapunov matrix-function
• On application of the Lyapunov matrix-functions in the theory of stability
• Unnamed Item
• Unnamed Item

This page was built for publication: Stochastic matrix–valued lyapunove function and its application