Generalization of the Lyapunov equation to non-linear systems

DOI10.1080/00207728808967631zbMath0643.93047OpenAlexW2033425773MaRDI QIDQ3786364

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Publication date: 1988

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728808967631

zbMATH Keywords

nonlinear systemsLyapunov equation

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Vector and tensor algebra, theory of invariants (15A72) Matrix equations and identities (15A24) Stability of solutions to ordinary differential equations (34D20) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (3)

Matching conditions for stability analysis of nonlinear feedback control systems ⋮ A new functional expansion for nonlinear systems ⋮ Tracking control of nonlinear automobile idle-speed time-delay system via differential geometry approach

Cites Work

• On a class of suboptimal controls for infinite-dimensional bilinear systems
• On the optimal control of nonlinear systems
• Controllability and observability of polynomial dynamical systems
• Estimating the domain of attraction of nonlinear feedback systems

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