The behaviour of optimal Lyapunov functions

DOI10.1080/00207177508922012zbMath0318.93024OpenAlexW2149179471MaRDI QIDQ4081075

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Publication date: 1975

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://figshare.com/articles/The_behaviour_of_optimal_Lyapunov_functions/9373772

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stability of solutions to ordinary differential equations (34D20) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (10)

Using linear feedback laws to augment the quadratic estimates of the stability region of a non-linear system ⋮ Stability analysis of complex dynamical systems. Some computational methods ⋮ Attraction domains of delay systems: construction by the Lyapunov function method ⋮ A method for construction of stability regions by Lyapunov functions ⋮ Estimating regions of asymptotic stability with sliding for relay-control systems ⋮ Optimizing the stable behavior of parameter-dependent dynamical systems -- maximal domains of attraction, minimal absorption times ⋮ Forms of aggregation of nonlinear systems. Domains of asymptotic stability (review) ⋮ A semi-algebraic approach for asymptotic stability analysis ⋮ Outer ellipsoidal approximations of the reachable set at infinity for linear systems ⋮ Lyapunov-like solutions for stability problems of the most general stationary Lurie-Postnikov systems

Cites Work

• Stability by Liapunov's direct method. With applications
• The structure of the level surfaces of a Lyapunov function
• A computational method for determining quadratic Lyapunov functions for non-linear systems
• On the method of multipliers for mathematical programming problems
• An efficient method for finding the minimum of a function of several variables without calculating derivatives
• Piecewise-quadratic and piecewise-linear Lyapunov functions for discontinuous systems†
• A Simplex Method for Function Minimization

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