Strict Lyapunov Function Constructions Under LaSalle Conditions With an Application to Lotka-Volterra Systems

DOI10.1109/TAC.2010.2041995zbMath1368.93654OpenAlexW2111381067MaRDI QIDQ4978773

Michael Malisoff, Frederic Mazenc

Publication date: 25 August 2017

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.2010.2041995

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20)

Related Items (6)

Stabilization and robustness analysis for a chain of exponential integrators using strict Lyapunov functions ⋮ On the construction of the Lyapunov function with sign-definite derivative with the help of auxiliary functions with sign-constant derivatives ⋮ Construction of control Lyapunov functions for damping stabilization of control affine systems ⋮ Nested Matrosov function theorem for nonlinear delayed systems ⋮ A new class of strict Lyapunov functions for nonlinear time-varying systems ⋮ Robustness of Adaptive Control under Time Delays for Three-Dimensional Curve Tracking

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