On contraction analysis for non-linear systems
Automatica (Journal of IFAC)
The Structure and Dynamics of Networks: (Princeton Studies in Complexity)
The Structure and Dynamics of Networks: (Princeton Studies in Complexity)
Brief paper: On the V-stability of complex dynamical networks
Automatica (Journal of IFAC)
Passivity-based designs for synchronized path-following
Automatica (Journal of IFAC)
Brief paper: Novel decentralized adaptive strategies for the synchronization of complex networks
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Brief paper: Synchronization in networks of identical linear systems
Automatica (Journal of IFAC)
IEEE Transactions on Circuits and Systems II: Express Briefs
Pinning control of uncertain complex networks to a homogeneous orbit
IEEE Transactions on Circuits and Systems II: Express Briefs
Sensor selection via convex optimization
IEEE Transactions on Signal Processing
Synchronization and control of complex networks via contraction, adaptation and evolution
IEEE Circuits and Systems Magazine - Special issue on complex networks applications in circuits and systems
Synchronization analysis of heterogeneous dynamical networks
Neurocomputing
Hi-index | 22.14 |
Global asymptotic stability of general dynamical networks with non-identical nodes is studied by introducing multiple V-Lyapunov functions. In such a network, the coupling strength, inner coupling matrix and outer coupling matrix are all allowed to be state-dependent and nonlinear. A stability criterion is proposed in terms of matrix norms and eigenvalues of some lower-dimensional matrices. Based on this criterion, an optimization problem is formed whose solution can be used to test global asymptotic stability. We also study the problem of how to achieve global asymptotic stability by design of controllers under the scheme of multiple V-Lyapunov functions. The control action is regarded as a re-shape of outer coupling topology and the associated controllers are designed. In particular, a method of adding or removing a certain number of links is proposed. Stability analysis of coupled non-identical Lorenz systems and a design example are also given to illustrate the proposed method.