Design of Discrete Stabilization of Large Scale Interconnected Systems

M. Zazi and N. Elalami (Morocco)


Decentralized stabilisation, diagonal dominance, eigenvalues bound, continues Lyapunov equation, discrete Lyapunov equation, similarity transformation.


in this paper we study the decentralized stabilization problem of discrete linear time invariant large scale interconnected systems. The design is based on stability result that employs the notion of block diagonal dominance in matrices. Our contribution initially consists in seeking the necessary and sufficient condition of existence of discrete decentralized controllers. Through the combining of the Gershgorin’s theorem with the suitable bounds of trace and eigenvalues of the discrete Lyapunov equation, this will lead to a class of decentralized controllers which stabilises the overall system.

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