Analysis of Interconnected Oscillators by Dissipativity Theory
From MaRDI portal
Publication:5282033
DOI10.1109/TAC.2006.890471zbMath1366.34054MaRDI QIDQ5282033
Guy-Bart Stan, Rodolphe J. Sepulchre
Publication date: 27 July 2017
Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)
Stabilization of systems by feedback (93D15) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Control problems involving ordinary differential equations (34H05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)
Related Items
Nonlinear integral coupling for synchronization in networks of nonlinear systems, Almost dissipativity and ultimate boundedness property for switched nonlinear systems, Agreeing in networks: unmatched disturbances, algebraic constraints and optimality, On synchronization of networks of Wilson-Cowan oscillators with diffusive coupling, Structured Lyapunov functions for synchronization of identical affine-in-control agents -- unified approach, Disturbance attenuation of a network of nonlinear systems, Incremental \((Q,S,R)\)-dissipativity and incremental stability for switched nonlinear systems, On eigenvalues of Laplacian matrix for a class of directed signed graphs, Oscillations in mixed-feedback systems, Synchronization in a network of identical discrete-time agents with uniform constant communication delay, A relaxed characterization of ISS for periodic systems with multiple invariant sets, Selective pattern formation control: spatial spectrum consensus and Turing instability approach, On convergence conditions for generalized Persidskii systems, Output regulation of switched nonlinear systems using incremental passivity, Output-only identification of self-excited systems using discrete-time Lur'e models with application to a gas-turbine combustor, Synchronization under space and time-dependent heterogeneities, Rapid and robust synchronization via weak synaptic coupling, Control Lyapunov function method for robust stabilization of multistable affine nonlinear systems, Some Recent Results on Distributed Control of Nonlinear Systems, Convergent Systems: Nonlinear Simplicity, Backstepping controller synthesis and characterizations of incremental stability, Equilibrium-independent passivity: a new definition and numerical certification, Synchronizing linear systems via partial-state coupling, Contraction theory on Riemannian manifolds, Distributed nonlinear control of mobile autonomous multi-agents, Duality and network theory in passivity-based cooperative control, Fully distributed robust synchronization of networked Lur'e systems with incremental nonlinearities, Robustness of Delayed Multistable Systems, On influences of global and local cues on the rate of synchronization of oscillator networks, Oscillation analysis of linearly coupled piecewise affine systems: application to spatio-temporal neuron dynamics, Decentralised minimum-time consensus, Synchronization of Lur'e-type nonlinear systems in linear dynamical networks having fast convergence rate and large DC gain, Differential dissipativity analysis of reaction-diffusion systems, Leader-follower and leaderless consensus in networks of flexible-joint manipulators, Analysis and computation of limit cycles for systems with separable nonlinearities, Oscillation patterns in tori of modified FHN neurons, An internal model principle is necessary and sufficient for linear output synchronization, Output Synchronization of Nonlinear Systems with Relative Degree One, Global synchronization analysis of droop-controlled microgrids -- a multivariable cell structure approach, Absolute instability of Lur'e systems and its application to oscillation analysis of uncertain genetic networks, Orbital stabilization of nonlinear systems via Mexican sombrero energy shaping and pumping-and-damping injection, Robustness of delayed multistable systems with application to droop-controlled inverter-based microgrids, Dissipativity analysis of negative resistance circuits, Synchronization in networks of identical linear systems, On robustness against disturbances of passive systems with multiple invariant sets, Incremental passivity and output regulation for switched nonlinear systems, Dynamic coupling design for nonlinear output agreement and time-varying flow control, Global synchronization of pulse-coupled oscillators interacting on cycle graphs, Second-order consensus of nonlinear multi-agent systems with restricted switching topology and time delay