Equilibrium equivalence theorem and its applications to control and stability

DOI10.1007/BF01183751zbMath0812.58071OpenAlexW2036471627MaRDI QIDQ1345187

Garng M. Huang, Leonid A. Luxemburg

Publication date: 2 March 1995

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01183751

zbMATH Keywords

dynamical systemsstructural stabilityperturbationsequilibrium equivalence

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Perturbations in control/observation systems (93C73) Applications of dynamical systems (37N99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (3)

Homotopy of dynamical systems on manifolds and Morse theory on covering space ⋮ Lower bounds for equilibria of covering flows on manifolds ⋮ Morse-Smale theory for flows on covering spaces of compact manifolds

Cites Work

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• A uniqueness theorem in an identification problem for coefficients of parabolic equations
• Generalized Morse theory and its applications to control and stability analysis
• On an approximation theorem of Kupka and Smale
• Stability regions of nonlinear dynamical systems: a constructive methodology
• Foundations of direct methods for power system transient stability analysis
• Foundations of the potential energy boundary surface method for power system transient stability analysis
• Global analysis of swing dynamics

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