Lyapunov-like solutions for stability problems of the most general stationary Lurie-Postnikov systems

DOI10.1080/00207728108963785zbMath0478.93041OpenAlexW2033513754MaRDI QIDQ3936595

Ljubomir T. Grujic

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1080/00207728108963785

zbMATH Keywords

absolute stabilitymultiple nonlinearitiesdomain estimationdomain of asymptotic stabilityLurie-Postnikov stationary systems

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) Asymptotic stability in control theory (93D20) Model systems in control theory (93C99)

Related Items (8)

On application of the Lyapunov matrix-functions in the theory of stability ⋮ Structurally variable control of time-varying Lurie systems ⋮ Stablewise absolute output natural tracking control with finite reachability time: MIMO Lurie systems ⋮ Lyapunov functional for multiple delay general Lurie systems with multiple nonlinearities ⋮ On robustness of Lurie systems with multiple nonlinearities ⋮ Structurally variable control of Lurie systems ⋮ Forms of aggregation of nonlinear systems. Domains of asymptotic stability (review) ⋮ Lyapunov function of general Lurie systems with multiple nonlinearities

Cites Work

• Stability by Liapunov's direct method. With applications
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• Stochastic stability and control
• Continuous-time tracking systems incorporating Lur'e plants with single non-linearities
• Continuous-time tracking systems incorporating Lur'e plants with multiple non-linearities
• The behaviour of optimal Lyapunov functions
• Global stability of two linearly interconnected nonlinear systems
• Persistent sets via Lyapunov functions
• Finite Regions of Attraction for the Problem of Lur'e
• Functional differential equations
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