Application of center manifold reduction to nonlinear system stabilization

DOI10.1016/S0096-3003(97)10021-2zbMath0965.93087OpenAlexW1976038395MaRDI QIDQ1294138

Der-Cherng Liaw

Publication date: 29 June 1999

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(97)10021-2

zbMATH Keywords

nonlinear systemstabilizabilitycenter manifold theoremlocal feedback stabilizationnoncritical eigenvalues

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear systems in control theory (93C10)

Related Items (7)

An adaptive-dynamic sliding mode controller for non-minimum phase systems ⋮ Stability and bifurcation of a discrete predator-prey system with Allee effect and other food resource for the predators ⋮ On asymptotic stabilization of driftless systems ⋮ On the rational stability of autonomous dynamical systems. Applications to control chained systems ⋮ Bifurcation and chaos in a discrete predator-prey system of Leslie type with Michaelis-Menten prey harvesting ⋮ Dynamical system analysis of Einstein-Skyrme model in a Kantowski-Sachs spacetime ⋮ Stabilization of nonlinear systems in compound critical cases.

Cites Work

• Local feedback stabilization and bifurcation control. II: Stationary bifurcation
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• Geometric theory of semilinear parabolic equations
• Applications of centre manifold theory
• Design of nonlinear automatic flight control systems
• An existence theorem for invariant manifolds
• Center manifold approach to the control of a tethered satellite system
• Active control of compressor stall inception: A bifurcation-theoretic approach
• Stabilization of tethered satellites during station keeping
• Stabilization of nonlinear systems with uncontrollable linearization
• Families of Lyapunov functions for nonlinear systems in critical cases

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