Consensus dynamics with arbitrary sign-preserving nonlinearities

Abstract This paper studies consensus problems for multi-agent systems defined on directed graphs where the consensus dynamics involves general nonlinear and discontinuous functions. Sufficient conditions, only involving basic properties of the nonlinear functions and the topology of the underlying graph, are derived for the agents to converge to consensus.

[1]  Timothy W. McLain,et al.  Coordination Variables and Consensus Building in Multiple Vehicle Systems , 2004 .

[2]  Claudio De Persis,et al.  Output agreement in networks with unmatched disturbances and algebraic constraints , 2015, 2015 54th IEEE Conference on Decision and Control (CDC).

[3]  Karl Henrik Johansson,et al.  Stability analysis for multi-agent systems using the incidence matrix: Quantized communication and formation control , 2010, Autom..

[4]  Frank Allgöwer,et al.  Duality and network theory in passivity-based cooperative control , 2013, Autom..

[5]  J. Cortés.  Discontinuous dynamical systems , 2008, IEEE Control Systems.

[6]  R. Murray,et al.  Consensus protocols for networks of dynamic agents , 2003, Proceedings of the 2003 American Control Conference, 2003..

[7]  A. Bacciotti,et al.  Stability and Stabilization of Discontinuous Systems and Nonsmooth Lyapunov Functions , 1999 .

[8]  Claudio De Persis,et al.  Formation control using binary information , 2015, Autom..

[9]  Jorge Cortés,et al.  Finite-time convergent gradient flows with applications to network consensus , 2006, Autom..

[10]  S. Sastry,et al.  A calculus for computing Filippov's differential inclusion with application to the variable structure control of robot manipulators , 1987 .

[11]  Manfredi Maggiore,et al.  State Agreement for Continuous-Time Coupled Nonlinear Systems , 2007, SIAM J. Control. Optim..

[12]  Claudio De Persis,et al.  Robust Self-Triggered Coordination With Ternary Controllers , 2012, IEEE Transactions on Automatic Control.

[13]  P. Chebotarev,et al.  On of the Spectra of Nonsymmetric Laplacian Matrices , 2004, math/0508176.

[14]  Arjan van der Schaft,et al.  Modeling of physical network systems , 2015, Syst. Control. Lett..

[15]  A. Jadbabaie,et al.  Effects of Delay in Multi-Agent Consensus and Oscillator Synchronization , 2010, IEEE Transactions on Automatic Control.