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In this paper we investigate the use of distributed PI actions to achieve consensus and synchronization in complex networks. We show that by extending the classical linear diffusive coupling with an integral action it is possible to achieve better performance and steady-state behavior than with more traditional strategies. After briefly summarizing the theoretical results, we investigate the viability...
This work considers a class of second order infinite dimensional parameter systems that often model flexible structures and it is assumed that a number of identical such systems are desired to be synchronized. Using output feedback controllers, the resulting coupled systems are brought in an aggregate form that is conducive to optimization of the synchronization gains. Using the closed-loop energy...
This paper investigates the synchronization problem of identical agents while minimizing an LQ-based performance index that reflects the behavior of the synchronization errors. For an objective function which penalizes the synchronization errors with a circulant structured weighting matrix, an optimal networked controller is proposed which has the same structure. The resulting communication graph...
The paper presents distributed control design to stabilize circular formations of steered particles in three-dimensional space. In formation, the particles are required to follow equal radius circular paths with common orientation, but not necessarily common center. The formation is given by specifying desired separations of the centers of the circular paths and desired relative headings. The information...
We discuss spatially distributed networks that exhibit a diffusive coupling structure, common in biomolecular networks and multi-agent systems. We first review conditions that guarantee spatial homogeneity of the solutions of these systems, referred to as “synchrony.” We next point to structural system properties that allow diffusion-driven instability - a phenomenon critical to pattern formation...
This paper is concerned with the global synchronization problem for a class of complex dynamic networks. We first give a sufficient condition for the synchronization of complex networks with any connection. Then in the case that the network connection is directed and has a spanning tree, the global synchronization problem is further investigated. These results are easy to be used for the synchronization...
For a network of identical linear objects an output synchronization problem is considered. Problem of synchronization is solved under conditions of incomplete measurements, incomplete control and without constructing observers. Parameters of of static controller and sufficient synchronization conditions are obtained by means of passification method.
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