Recent years have witnessed an increasing interest in coordinatedcontrol of distributed dynamic systems. In order to steer adistributed dynamic system to a desired state, it often becomesnecessary to have a prior control over the graph which representsthe coupling among interacting agents. In this paper, a simple butcompelling model of distributed dynamical systems operating over adynamic graph is considered. The structure of the graph is assumedto be relied on the underling system's states. Then by following aproper protocol, the state-dependent dynamic graph is driven to apre-specified structure. The main results are derived viaLasalle's Invariant Principle and numerical examples that findvery good agreements with the analytical results are alsoincluded.
state-dependent graph, Lasalle's Invariant Principle, dynamic system
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