Generalized Morse theory and its applications to control and stability analysis

DOI10.1007/BF01183770zbMath0757.93014OpenAlexW2016121348MaRDI QIDQ1176560

S. Singh

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf01183770

zbMATH Keywords

Morse theory

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Algebraic methods (93B25)

Related Items (4)

Equilibrium equivalence theorem and its applications to control and stability ⋮ 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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• Foundations of direct methods for power system transient stability analysis
• On the phase portrait of a class of large nonlinear dynamic systems such as the power system
• Stability analysis of interconnected systems using computer generated Lyapunov functions
• Global analysis of swing dynamics

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