State estimation of complex dynamical network under noisy transmission channel

Abstract

The state estimation problem is addressed in the paper for a complex dynamical network with stochastic noise in transmission channel. A new scheme based on integral observer approach is proposed for the complex dynamical network to estimate the network's states. It is demonstrated that the proposed scheme is effective under a noisy communication environment by using Lyapunov stability theory. A sufficient condition for complex dynamical network state estimation is derived in the form of a linear matrix inequality. It is demonstrated with the small world network and the scale-free network that the noise suppression can be achieved by using the proposed integral observer scheme.