Decentralized simultaneous stabilization and reliable control using periodic feedback

In this note we consider the simultaneous decentralized stabilization problem for linear, periodically time-varying, discrete time systems. We show that a finite number of periodically time-varying systems can be simultaneously stabilized by a periodically time-varying decentralized compensator if and only if each system admits a decentralized stabilizing compensator. The result is applicable in the design of reliable decentralized stabilizing compensators for interconnected systems.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/30260/1/0000658.pd