Global synchronization in arrays of coupled Lurie systems with both time-delay and hybrid coupling

DOI10.1016/J.CNSNS.2010.04.008zbMath1221.34199OpenAlexW2037915130MaRDI QIDQ718282

Ting Wang, Tao Li, Ai-Guo Song, Shu-Min Fei

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.04.008

zbMATH Keywords

Lur'e systemsLMI approachtime-varying delayhybrid couplingdelay-dependent synchronization criterion

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Dynamical systems in control (37N35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (8)

Stability analysis for coupled systems with time-varying coupling structure ⋮ Synchronization of Lurie system based on contraction analysis ⋮ Master-slave synchronization of stochastic neural networks with mixed time-varying delays ⋮ Improved delay-dependent robust stability criteria for a class of uncertain neutral type Lur'e systems with discrete and distributed delays ⋮ Bipartite synchronization of coupled Lurie networks with signed graph and time-varying delay ⋮ Finite-time synchronization for complex dynamical networks with hybrid coupling and time-varying delay ⋮ Pinning cluster synchronization in linear hybrid coupled delayed dynamical networks ⋮ Inner synchronisation of stochastic impulsive multi-links coupled systems via discrete-time state observations control

Uses Software

• Unnamed Item
• LMI toolbox

Cites Work

• New approach to synchronization in asymmetrically coupled networks
• Improved asymptotic stability analysis for Lur'e systems with sector and slope restricted nonlinearities
• Synchronization of bidirectionally coupled chaotic Chen's system with delay
• Robust synchronization of coupled delayed neural networks under general impulsive control
• Exponential generalized synchronization of uncertain coupled chaotic systems by adaptive control
• Synchronization for a class of complex dynamical networks with time-delay
• Synchronization schemes for coupled identical Yang-Yang type fuzzy cellular neural networks
• Robust absolute stability and nonlinear state feedback stabilization based on polynomial Lur'e functions
• Improved delay-dependent stability criteria for uncertain Lur'e systems with sector and slope restricted nonlinearities and time-varying delays
• \(H_\infty \) control and quadratic stabilization of switched linear systems with linear fractional uncertainties via output feedback
• New delay-dependent stability criteria for systems with interval delay
• Global impulsive exponential synchronization of time-delayed coupled chaotic systems
• FURTHER RESULTS ON MASTER-SLAVE SYNCHRONIZATION OF GENERAL LUR'E SYSTEMS WITH TIME-VARYING DELAY
• MASTER-SLAVE SYNCHRONIZATION OF LUR'E SYSTEMS BASED ON TIME-VARYING DELAY FEEDBACK CONTROL
• ROBUST $\mathcal{H}_{\infty}$ CONTROL FOR MASTER-SLAVE SYNCHRONIZATION OF LUR'E SYSTEMS WITH TIME-DELAY FEEDBACK CONTROL
• Autowaves for image processing on a two-dimensional CNN array of excitable nonlinear circuits: flat and wrinkled labyrinths
• COEXISTENCE OF LOW- AND HIGH-DIMENSIONAL SPATIOTEMPORAL CHAOS IN A CHAIN OF DISSIPATIVELY COUPLED CHUA’S CIRCUITS
• Spiral waves on a 2-D array of nonlinear circuits
• Conditions for Synchronizability in Arrays of Coupled Linear Systems
• Cluster Synchronization of Linearly Coupled Complex Networks Under Pinning Control
• Stability analysis of swarms

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