Robust control of a class of uncertain nonlinear systems
Systems & Control Letters
Brief paper: Scalable robust stability for nonsymmetric heterogeneous networks
Automatica (Journal of IFAC)
Brief paper: On the V-stability of complex dynamical networks
Automatica (Journal of IFAC)
Brief paper: Stability analysis and decentralized control of a class of complex dynamical networks
Automatica (Journal of IFAC)
A note on the spread of worms in scale-free networks
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Delay independent stability criteria of impulsive switched systems with time-invariant delays
Mathematical and Computer Modelling: An International Journal
Linear passive networks with ideal switches: consistent initial conditions and state discontinuities
IEEE Transactions on Circuits and Systems Part I: Regular Papers - Special section on 2009 IEEE system-on-chip conference
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In this paper, a general complex switched network (CSN) model is presented. The model is more general than those in the literatures in which it contains switching behaviors on both its nodes and topology configuration. Robust stabilization of directed time-varying CSN with parametric uncertainties and two types of delays is investigated. The two types of delays consist of the system delay at each node and the coupling delay between nodes. Based on the Lyapunov stability theory, sufficient robust stabilization conditions are proposed for CSNs via impulsive control. In addition, four special stabilization cases: CSNs with both system and coupling delays, CSNs with parametric uncertainties and either the system delay or the coupling delay, and complex networks with parametric uncertainties and both type of delays, are discussed. A systematic design procedure for stabilizing impulsive control is presented. A numerical example is provided for illustration. A comparative study of the stability ranges of the impulsive intervals corresponding to the general case of the directed time-varying CSN and the four special cases is carried out by simulation.