Lyapunov function construction by linear programming

DOI10.1109/9.599986zbMath0885.93050OpenAlexW2024106956MaRDI QIDQ4361133

Andrzej Polański

Publication date: 3 May 1998

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

Full work available at URL: https://doi.org/10.1109/9.599986

zbMATH Keywords

linear programmingquadratic Lyapunov functionstime-varying linear systems

Mathematics Subject Classification ID

Related Items (13)

Criteria for robust absolute stability of time-varying nonlinear continuous-time systems ⋮ Switching controller design via convex polyhedral Lyapunov functions ⋮ Design of stabilizing switching control laws for discrete- and continuous-time linear systems using piecewise-linear Lyapunov functions ⋮ Lower bounds on complexity of Lyapunov functions for switched linear systems ⋮ Polytope Lyapunov functions for stable and for stabilizable LSS ⋮ Exact asymptotic stability analysis and region-of-attraction estimation for nonlinear systems ⋮ Nonlinear control design for linear differential inclusions via convex hull of quadratics ⋮ Learning‐based robust neuro‐control: A method to compute control Lyapunov functions ⋮ Necessary and sufficient stability condition for second-order switched systems: a phase function approach ⋮ Construction of Lyapunov functions using Helmholtz-Hodge decomposition ⋮ A numerical technique for the stability analysis of linear switched systems ⋮ Comprehensive Lyapunov functions for linear switching systems ⋮ Review on computational methods for Lyapunov functions

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