A novel moving orthonormal coordinate-based approach for region of attraction analysis of limit cycles
From MaRDI portal
Publication:2696113
DOI10.3934/jcd.2022016OpenAlexW4293215064MaRDI QIDQ2696113
Eva Ahbe, Andrea Iannelli, Roy S. Smith
Publication date: 6 April 2023
Published in: Journal of Computational Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/jcd.2022016
limit cyclesregion of attractionLyapunov theorysum-of-squares optimizationtransverse dynamicsmoving orthonormal system
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Domain of attraction. Analysis and control via SOS programming.
- Estimating the domain of attraction for non-polynomial systems via LMI optimizations
- Generalization of the Andronov--Vitt theorem
- Local stability analysis using simulations and sum-of-squares programming
- On the determination of the basin of attraction of periodic orbits in three- and higher-dimensional systems
- Converse Lyapunov functions for exponentially stable periodic orbits
- A new criterion for controlling the number of limit cycles of some generalized Liénard equations
- Nonlinear control of a swinging pendulum
- Region of attraction analysis with integral quadratic constraints
- Domain-of-attraction estimation for uncertain non-polynomial systems
- Region of attraction estimation using invariant sets and rational Lyapunov functions
- Robust estimations of the region of attraction using invariant sets
- Nonlinear autonomous oscillations. Analytical theory
- A Nullstellensatz and a Positivstellensatz in semialgebraic geometry
- A general equation for relaxation oscillations
- Control Applications of Sum of Squares Programming
- Analysis of Non-polynomial Systems Using the Sum of Squares Decomposition
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Stability Region Analysis Using Polynomial and Composite Polynomial Lyapunov Functions and Sum-of-Squares Programming
- Pre- and Post-Processing Sum-of-Squares Programs in Practice
- Transverse Linearization for Underactuated Nonholonomic Mechanical Systems with Application to Orbital Stabilization
- DSOS and SDSOS Optimization: More Tractable Alternatives to Sum of Squares and Semidefinite Optimization
This page was built for publication: A novel moving orthonormal coordinate-based approach for region of attraction analysis of limit cycles