A converse sum of squares Lyapunov function for outer approximation of minimal attractor sets of nonlinear systems
From MaRDI portal
Publication:2696112
DOI10.3934/jcd.2022019OpenAlexW3202173020MaRDI QIDQ2696112
Publication date: 6 April 2023
Published in: Journal of Computational Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.03093
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Solving semidefinite-quadratic-linear programs using SDPT3
- Advances in computational Lyapunov analysis using sum-of-squares programming
- Simple approximations of semialgebraic sets and their applications to control
- A globally asymptotically stable polynomial vector field with rational coefficients and no local polynomial Lyapunov function
- Estimating the bounds for the Lorenz family of chaotic systems
- Ultimate bound estimation set and chaos synchronization for a financial risk system
- Estimating the region of attraction based on a polynomial Lyapunov function
- Region of attraction estimation using invariant sets and rational Lyapunov functions
- Polynomial level-set method for attractor estimation
- Dynamical systems: Stability theory and applications
- Converging outer approximations to global attractors using semidefinite programming
- GLOBALLY ATTRACTIVE AND POSITIVE INVARIANT SET OF THE LORENZ SYSTEM
- A smooth Lyapunov function from a class-${\mathcal{KL}}$ estimate involving two positive semidefinite functions
- Computing multiple Lyapunov‐like functions for inner estimates of domains of attraction of switched hybrid systems
- A Smooth Converse Lyapunov Theorem for Robust Stability
- Finding Extremal Periodic Orbits with Polynomial Optimization, with Application to a Nine-Mode Model of Shear Flow
- Exponentially Stable Nonlinear Systems Have Polynomial Lyapunov Functions on Bounded Regions
- Bounding extrema over global attractors using polynomial optimisation
- Volume of Sublevel Sets of Homogeneous Polynomials
This page was built for publication: A converse sum of squares Lyapunov function for outer approximation of minimal attractor sets of nonlinear systems