Computing continuous and piecewise affine Lyapunov functions for nonlinear systems
DOI10.3934/jcd.2015004zbMath1345.93119OpenAlexW919882882MaRDI QIDQ317182
Christopher M. Kellett, Huijuan Li, Sigurður Freyr Hafstein
Publication date: 30 September 2016
Published in: Journal of Computational Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/jcd.2015004
ordinary differential equationsLyapunov functionscomputational techniques stability theorycontinuous and piecewise affine functions
Lyapunov and storage functions (93D30) Popov-type stability of feedback systems (93D10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20)
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Cites Work
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- Review on computational methods for Lyapunov functions
- Classical converse theorems in Lyapunov's second method
- A compendium of comparison function results
- Existence of piecewise linear Lyapunov functions in arbitrary dimensions
- Construction of Lyapunov functions for nonlinear planar systems by linear programming
- Linear programming based Lyapunov function computation for differential inclusions
- Existence of piecewise affine Lyapunov functions in two dimensions
- Comments on integral variants of ISS
- Stability theory by Liapunov's direct method
- Revised CPA method to compute Lyapunov functions for nonlinear systems
- An algorithmic approach to chain recurrence
- On Liapounoff's conditions of stability
- Lyapunov function construction for ordinary differential equations with linear programming
- Computation and Verification of Lyapunov Functions
- A smooth Lyapunov function from a class-${\mathcal{KL}}$ estimate involving two positive semidefinite functions
- Computation of continuous and piecewise affine Lyapunov functions for discrete-time systems
- On the inversion of Ljapunov's second theorem on stability of motion. [Continuation]
- A Converse Sum of Squares Lyapunov Result With a Degree Bound
- On the stability of solutions of a system of differential equations
- Computation of Lyapunov functions for smooth nonlinear systems using convex optimization
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