In this work,a novel strategy for the synchronisation of nonlinear coupled networked systems is introduced.Using contraction theory,a constructive criterion for synchronisation in interconnected networked systems is p...In this work,a novel strategy for the synchronisation of nonlinear coupled networked systems is introduced.Using contraction theory,a constructive criterion for synchronisation in interconnected networked systems is proposed wherein,a systematic procedure to derive a sufficient condition is also elaborated,which ensures exponential convergence of each system.The individual systems in proposed structure of coupled network interact through integrated coupling function which satisfies Lipschitz condition.The uncoupled system nonlinearities are assumed to be restricted by an upper bound.We show using an analytical approach that nonlinear diffusive coupling in terms of Lipschitz functions provided with bounds on system states can result in suitable gains leading to synchronised behaviour of the network.The exponential convergence of each state of interconnected systems is guaranteed if and only if a sufficient condition on coupling gains and system nonlinearities is fulfilled.The efficacy of proposed approach is demonstrated by extensive simulations.展开更多
文摘In this work,a novel strategy for the synchronisation of nonlinear coupled networked systems is introduced.Using contraction theory,a constructive criterion for synchronisation in interconnected networked systems is proposed wherein,a systematic procedure to derive a sufficient condition is also elaborated,which ensures exponential convergence of each system.The individual systems in proposed structure of coupled network interact through integrated coupling function which satisfies Lipschitz condition.The uncoupled system nonlinearities are assumed to be restricted by an upper bound.We show using an analytical approach that nonlinear diffusive coupling in terms of Lipschitz functions provided with bounds on system states can result in suitable gains leading to synchronised behaviour of the network.The exponential convergence of each state of interconnected systems is guaranteed if and only if a sufficient condition on coupling gains and system nonlinearities is fulfilled.The efficacy of proposed approach is demonstrated by extensive simulations.
