Optimal Connection Design for Dynamical Modular Systems Based on LMIs

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This paper gives a new design method for dynamical modular systems based on LMIs. The whole system consisting of dynamical modules may become unstable by connecting and disconnecting dynamical modules even though each module is stable. Therefore, we should study the stability of the whole system at connecting and disconnecting dynamical modules and investigate whether dynamical modular systems can have fault-tolerance from the viewpoint of stability. In this paper, the stability condition is provided, and it is shown that the whole system has fault-tolerance if the stability condition is satisfied. The design problem of connecting dynamical modules is formulated as a combinatorial problem subject to the stability condition, which can be described by LMIs, and the design method for optimal connections among dynamical modules is proposed.

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