Computation of local ISS Lyapunov functions for discrete-time systems via linear programming
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Publication:252883
DOI10.1016/j.jmaa.2016.01.045zbMath1332.93328OpenAlexW2256000530MaRDI QIDQ252883
Publication date: 4 March 2016
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.01.045
linear programmingLyapunov functiondiscrete-time systemslocal input-to-state (ISS) stabilitylocal ISS Lyapunov function
Linear programming (90C05) Lyapunov and storage functions (93D30) Discrete-time control/observation systems (93C55) Input-output approaches in control theory (93D25)
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Cites Work
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- Computation of local ISS Lyapunov functions with low gains via linear programming
- A compendium of comparison function results
- On characterizations of the input-to-state stability property
- Nonlinear small-gain theorems for discrete-time feedback systems and applications
- Linear programming based Lyapunov function computation for differential inclusions
- A constructive converse Lyapunov theorem on exponential stability
- Revised CPA method to compute Lyapunov functions for nonlinear systems
- A Relaxed Small-Gain Theorem for Interconnected Discrete-Time Systems
- Lyapunov function construction for ordinary differential equations with linear programming
- Further facts about input to state stabilization
- New characterizations of input-to-state stability
- Smooth stabilization implies coprime factorization
- A constructive converse Lyapunov theorem on asymptotic stability for nonlinear autonomous ordinary differential equations
- Input-to-state stability for discrete-time nonlinear systems
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