Bounded $H_{\infty}$ Synchronization and State Estimation for Discrete Time-Varying Stochastic Complex Networks Over a Finite Horizon
Top Cited Papers
- 18 November 2010
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Neural Networks
- Vol. 22 (1), 145-157
- https://doi.org/10.1109/tnn.2010.2090669
Abstract
In this paper, new synchronization and state estimation problems are considered for an array of coupled discrete time-varying stochastic complex networks over a finite horizon. A novel concept of bounded H∞ synchronization is proposed to handle the time-varying nature of the complex networks. Such a concept captures the transient behavior of the time-varying complex network over a finite horizon, where the degree of bounded synchronization is quantified in terms of the H∞-norm. A general sector-like nonlinear function is employed to describe the nonlinearities existing in the network. By utilizing a timevarying real-valued function and the Kronecker product, criteria are established that ensure the bounded H∞ synchronization in terms of a set of recursive linear matrix inequalities (RLMIs), where the RLMIs can be computed recursively by employing available MATLAB toolboxes. The bounded H∞ state estimation problem is then studied for the same complex network, where the purpose is to design a state estimator to estimate the network states through available output measurements such that, over a finite horizon, the dynamics of the estimation error is guaranteed to be bounded with a given disturbance attenuation level. Again, an RLMI approach is developed for the state estimation problem. Finally, two simulation examples are exploited to show the effectiveness of the results derived in this paper.Keywords
This publication has 33 references indexed in Scilit:
- On the spontaneous stochastic dynamics of a single gene: complexity of the molecular interplay at the promoterBMC Systems Biology, 2010
- New Synchronization Stability of Complex Networks With an Interval Time-Varying Coupling DelayIEEE Transactions on Circuits and Systems II: Express Briefs, 2009
- Synchronization and State Estimation for Discrete-Time Complex Networks With Distributed DelaysIEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 2008
- Design of exponential state estimators for neural networks with mixed time delaysPhysics Letters A, 2007
- Delay-Dependent State Estimation for Delayed Neural NetworksIEEE Transactions on Neural Networks, 2006
- $H_infty$Control for Discrete-Time Nonlinear Stochastic SystemsIEEE Transactions on Automatic Control, 2006
- State Estimation for Delayed Neural NetworksIEEE Transactions on Neural Networks, 2005
- SYNCHRONIZATION IN SMALL-WORLD DYNAMICAL NETWORKSInternational Journal of Bifurcation and Chaos, 2002
- COEXISTENCE OF LOW- AND HIGH-DIMENSIONAL SPATIOTEMPORAL CHAOS IN A CHAIN OF DISSIPATIVELY COUPLED CHUA’S CIRCUITSInternational Journal of Bifurcation and Chaos, 1994
- Autowaves for image processing on a two-dimensional CNN array of excitable nonlinear circuits: flat and wrinkled labyrinthsIEEE Transactions on Circuits and Systems I: Regular Papers, 1993