Nonlinear dynamic systems design based on the optimization of the domain of attraction

DOI10.1016/j.mcm.2010.10.011zbMath1217.34096OpenAlexW1989078734MaRDI QIDQ552070

Luis G. Matallana, J. Alberto Bandoni, Aníbal M. Blanco

Publication date: 21 July 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.10.011

zbMATH Keywords

global optimizationLyapunov functionnonlinear dynamic systemsdomains of attraction

Mathematics Subject Classification ID

Design techniques (robust design, computer-aided design, etc.) (93B51) Asymptotic stability in control theory (93D20) Stability of solutions to ordinary differential equations (34D20) Dynamical systems in control (37N35)

Related Items (3)

A novel strategy of extending the domain of attraction of affine nonlinear systems ⋮ Generalization of a stability domain estimation method for nonlinear discrete systems ⋮ Julia sets and their control of discrete fractional SIRS models

Uses Software

• Matlab
• GAMS
• Genetic Algorithm and Direct Search Toolbox

Cites Work

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• Enlarging the domain of attraction of stable MPC controllers, maintaining the output performance
• Differential evolution -- a simple and efficient heuristic for global optimization over continuous spaces
• Enlarging the domain of attraction of MPC controllers
• Convexification and global optimization in continuous and mixed-integer nonlinear programming. Theory, algorithms, software, and applications
• Heuristic methods for evolutionary computation techniques
• Maximal Lyapunov functions and domains of attraction for autonomous nonlinear systems
• On the estimation of asymptotic stability regions: State of the art and new proposals
• Large-Scale Optimization of Eigenvalues
• LMI-based computation of optimal quadratic Lyapunov functions for odd polynomial systems

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