Semidefinite Lyapunov functions stability and stabilization

DOI10.1007/BF01211748zbMath0868.93048OpenAlexW2030230337MaRDI QIDQ2563990

Yanyan Li

Publication date: 6 January 1997

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01211748

zbMATH Keywords

stabilitynonlinear stabilizationsemidefinite Lyapunov functions

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Lyapunov and storage functions (93D30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stability of solutions to ordinary differential equations (34D20)

Related Items (14)

Stabilization of positive systems with first integrals ⋮ On the construction of the Lyapunov function with sign-definite derivative with the help of auxiliary functions with sign-constant derivatives ⋮ On the use of a general quadratic Lyapunov function for studying the stability of Takagi-Sugeno systems ⋮ Prioritized multi-task compliance control of redundant manipulators ⋮ Reduction theorems for stability of compact sets in time-varying systems ⋮ Stabilization of nonlinear systems by use of semidefinite Lyapunov functions ⋮ Arc-length-based Lyapunov tests for convergence and stability with applications to systems having a continuum of equilibria ⋮ Optimal control for linear and nonlinear semistabilization ⋮ Global feedback stabilization of new class of bilinear systems ⋮ Discrete-time control design with positive semi-definite Lyapunov functions ⋮ Unnamed Item ⋮ Optimal singular control for nonlinear semistabilisation ⋮ On the stability of nonautonomous systems ⋮ Feedback stabilization of a class of nonsmooth systems

Cites Work

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• Controllability and stability
• Stability by Liapunov's direct method. With applications
• Global stabilization of nonlinear cascade systems
• Applications of centre manifold theory
• Stabilizability of the angular velocity of a rigid body revisited
• Stability for dynamical systems with first integrals: A topological criterion
• New results and examples in nonlinear feedback stabilization
• Further facts about input to state stabilization
• Decomposition techniques for large-scale systems with nonadditive interactions: Stability and stabilizability
• An integral-invariance principle for nonlinear systems

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