Lyapunov function computation for autonomous systems with complex dynamic behavior
From MaRDI portal
Publication:2673609
DOI10.1016/j.ejcon.2022.100619zbMath1490.93111OpenAlexW4214676049MaRDI QIDQ2673609
Péter Polcz, Gábor Szederkényi
Publication date: 10 June 2022
Published in: European Journal of Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ejcon.2022.100619
Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Asymptotic stability in control theory (93D20) Computational methods for problems pertaining to systems and control theory (93-08)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Computation of Lyapunov functions for systems with multiple local attractors
- Classical converse theorems in Lyapunov's second method
- Improved algorithm for computing the domain of attraction of rational nonlinear systems
- Local stability analysis using simulations and sum-of-squares programming
- Converse Lyapunov functions for exponentially stable periodic orbits
- Optimal bounds and extremal trajectories for time averages in nonlinear dynamical systems
- Bounding averages rigorously using semidefinite programming: mean moments of the Lorenz system
- Control of rational systems using linear-fractional representations and linear matrix inequalities
- Uniform denominators in Hilbert's seventeenth problem
- Induced \(\mathcal{L}_2\)-gain computation for rational LPV systems using Finsler's lemma and minimal generators
- Maximal Lyapunov functions and domains of attraction for autonomous nonlinear systems
- Lyapunov based estimation of the basin of attraction of Poincaré maps with applications to limit cycle walking
- Computational method for estimating the domain of attraction of discrete-time uncertain rational systems
- \(S\)-variable approach to LMI-based robust control
- Region of attraction estimation using invariant sets and rational Lyapunov functions
- Rational Lyapunov functions for estimating and controlling the robust domain of attraction
- A Nullstellensatz and a Positivstellensatz in semialgebraic geometry
- On Liapounoff's conditions of stability
- LMI stability conditions for uncertain rational nonlinear systems
- Linear Matrix Inequalities in System and Control Theory
- Automated-Sampling-Based Stability Verification and DOA Estimation for Nonlinear Systems
- Orthonormal Expansion $\ell_{1}$-Minimization Algorithms for Compressed Sensing
- Pre- and Post-Processing Sum-of-Squares Programs in Practice
- LMI Techniques for Optimization Over Polynomials in Control: A Survey
- Bounding extrema over global attractors using polynomial optimisation
- Computation of Lyapunov functions for nonlinear differential equations via a Massera-type construction
- ℒ︁2‐Gain analysis and control of uncertain nonlinear systems with bounded disturbance inputs
- SOS-based solution approach to polynomial LPV system analysis and synthesis problems
- Bounds for Deterministic and Stochastic Dynamical Systems using Sum-of-Squares Optimization
This page was built for publication: Lyapunov function computation for autonomous systems with complex dynamic behavior
