Detection of attraction domains of non-linear systems using bifurcation analysis and Lyapunov functions

DOI10.1080/00207170110110568zbMath1032.93068OpenAlexW2073733903MaRDI QIDQ3151633

Daniel Juan Pagano, Barreiro, Antonio, Javier Aracil

Publication date: 16 October 2002

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207170110110568

zbMATH Keywords

Lyapunov functiondomain of attractionbifurcation theoryattraction ellipsoidbifurcation Lyapunov function

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Bifurcation theory for ordinary differential equations (34C23) Asymptotic stability in control theory (93D20)

Related Items (8)

Stabilization of the Furuta pendulum based on a Lyapunov function ⋮ Regional robust stabilisation and domain-of-attraction estimation for MIMO uncertain nonlinear systems with input saturation ⋮ The direct Lyapunov method for the stabilisation of the Furuta pendulum ⋮ Static anti‐windup design for a class of nonlinear systems ⋮ Hopf and homoclinic bifurcations on the sliding vector field of switching systems in \(\mathbb{R}^3\): a case study in power electronics ⋮ Global bifurcation analysis of a controlled underactuated mechanical system ⋮ Stability analysis for a class of nonlinear discrete-time control systems subject to disturbances and to actuator saturation ⋮ Bracketing backward reach sets of a dynamical system

Cites Work

• Constrained stabilization via smooth Lyapunov functions
• On exponential stability of nonlinear time-varying differential equations
• Constructive nonlinear control
• On the estimation of asymptotic stability regions: State of the art and new proposals
• Stability regions of nonlinear autonomous dynamical systems
• A parametrization of piecewise linear Lyapunov functions via linear programming
• Polyhedral regions of local stability for linear discrete-time systems with saturating controls
• Swinging control of nonlinear oscillations
• Elements of applied bifurcation theory

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