Synchronizing continuous-time neutrally stable linear systems via partial-state coupling

Details Synchronizing continuous-time neutrally stable linear systems via partial-state coupling Synchronizing continuous-time neutrally stable linear systems via partial-state coupling

2008-01-21

arxiv.org/abs/0801.3185v1

Mathematics

Optimization and Control

15 pages

Scientific paper

Synchronization of coupled continuous-time linear systems is studied in a general setting. For identical neutrally-stable linear systems that are detectable from their outputs, it is shown that a linear output feedback law exists under which the coupled systems globally asymptotically synchronize under all fixed (directed) connected network topologies. An algorithm is provided to compute one such feedback law based on individual system parameters. The dual case, where individual systems are neutrally stable and stabilizable from their inputs, is also considered and parallel results are established.

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