On the Kalman-Yakubovich-Popov lemma
Systems & Control Letters
Brief Circle and Popov criteria as tools for nonlinear feedback design
Automatica (Journal of IFAC)
IEEE Transactions on Circuits and Systems Part I: Regular Papers
ACC'09 Proceedings of the 2009 conference on American Control Conference
ACC'09 Proceedings of the 2009 conference on American Control Conference
Stabilization of complex switched networks with two types of delays via impulsive control
ACC'09 Proceedings of the 2009 conference on American Control Conference
Distributed consensus filtering in sensor networks
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
A consensus problem for a class of vehicles with 2-D dynamics
Multidimensional Systems and Signal Processing
ICIRA'10 Proceedings of the Third international conference on Intelligent robotics and applications - Volume Part I
Information Sciences: an International Journal
Brief paper: On H∞ and H2 performance regions of multi-agent systems
Automatica (Journal of IFAC)
Pinning Synchronization for a General Complex Networks with Multiple Time-Varying Coupling Delays
Neural Processing Letters
Consensus of high-order multi-agent systems with large input and communication delays
Automatica (Journal of IFAC)
Hi-index | 22.15 |
In this paper, stability analysis and decentralized control problems are addressed for linear and sector-nonlinear complex dynamical networks. Necessary and sufficient conditions for stability and stabilizability under a special decentralized control strategy are given for linear networks. Especially, two types of linear regular networks, star-shaped networks and globally coupled networks, are studied in detail. A dynamical network is viewed as a large-scale system composing of some subsystems, based on which the relationship between the stability of a network and the stability of its corresponding subsystems is investigated. It is pointed out that some subsystems must be unstable for the whole network to be stable in some special cases. Moreover, a controller design method based on a parameter-dependent Lyapunov function is provided. Furthermore, interconnected Lur'e systems and symmetrical networks of Lur'e systems are similarly studied. The test of absolute stability of a network of Lur'e systems is separated into the test of absolute stability of several independent Lur'e systems. Finally, several numerical examples are given to illustrate the theoretical results.