Stabilization of nonlinear systems in compound critical cases.
DOI10.1016/S0096-3003(01)00099-6zbMath1039.93054OpenAlexW2019562608MaRDI QIDQ1855745
Der-Cherng Liaw, Chun-Hone Chen
Publication date: 28 January 2003
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0096-3003(01)00099-6
nonlinear systemsstabilizabilityLyapunov stabilitycenter manifold reductionnormal form reductioncritical nonlinear system
Stabilization of systems by feedback (93D15) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Control/observation systems governed by ordinary differential equations (93C15)
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Cites Work
- Local feedback stabilization and bifurcation control. II: Stationary bifurcation
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Stabilization of a class of nonlinear systems by a smooth feedback control
- Local feedback stabilization and bifurcation control. I. Hopf bifurcation
- Geometric theory of semilinear parabolic equations
- Applications of centre manifold theory
- Application of center manifold reduction to nonlinear system stabilization
- 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
- Normal forms for certain singularities of vectorfields
- 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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