Robust analysis and synthesis for a class of uncertain nonlinear systems with multiple equilibria

DOI10.1016/J.SYSCONLE.2004.02.024zbMath1157.93382OpenAlexW2032696186MaRDI QIDQ2503647

Ying Yang, Rao Fu, Lin Huang

Publication date: 21 September 2006

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2004.02.024

zbMATH Keywords

LMINonlinear systemsMultiple equilibriaAnalysis and synthesisNorm-bounded parameter uncertainties

Mathematics Subject Classification ID

Robust stability (93D09) Synthesis problems (93B50) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (15)

Synchronization of three homodromy coupled exciters in a non-resonant vibrating system of plane motion ⋮ Global asymptotical stability and generalized synchronization of phase synchronous dynamical networks ⋮ Frequency-domain and time-domain methods for feedback nonlinear systems and applications to chaos control ⋮ Robust chaotic synchronization for a class of disturbed nonlinear systems with multiple equilibria ⋮ Low frequency Lagrange stabilization for pendulum‐like systems ⋮ Stability analysis and state feedback stabilization of pendulum-like systems with multiple nonlinearities ⋮ Global phase synchronization for a class of dynamical complex networks with time-varying coupling delays ⋮ Cycles of the second kind for uncertain pendulum-like systems with several nonlinearities ⋮ Dynamic feedback control for cycle slipping in a phase-controlled system ⋮ Decentralized dynamic output feedback for globally asymptotic stabilization of a class of dynamic networks ⋮ Control-oriented approaches to anticipating synchronization of chaotic deterministic ratchets ⋮ Global convergence of a class of discrete-time interconnected pendulum-like systems ⋮ Criteria for dichotomy and gradient-like behavior of a class of nonlinear systems with multiple equilibria ⋮ Robust analysis and synthesis for the gradient-like behaviour of uncertain pendulum-like systems ⋮ On delay-dependent global asymptotic stability for pendulum-like systems

Uses Software

• LMI toolbox

Cites Work

• Positive real control problem for uncertain linear time-invariant systems
• Absolute stability of nonlinear systems of automatic control
• On the Kalman-Yakubovich-Popov lemma
• \(H_{\infty }\) controller synthesis for pendulum-like systems
• H/sub ∞/ control of systems under norm bounded uncertainties in all system matrices
• Frequency-Domain Methods for Nonlinear Analysis: Theory and Applications
• Fixed-architecture controller synthesis for systems with input-output time-varying nonlinearities
• An absolute stability criterion for the Lur'e problem with sector and slope restricted nonlinearities
• Stability and Oscillations of Solutions of Integro-Differential Equations of Pendulum—like Systems
• On nonoscillating networks
• Asymptotic orbital stability conditions for flows by estimates of singular values of the linearization
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