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arXiv · 1908.04763

Assignability of dichotomy spectrum for discrete time-varying linear control systems

Le Viet Cuong·Thai Son Doan
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Abstract

In this paper, we show that for discrete time-varying linear control systems uniform complete controllability implies arbitrary assignability of dichotomy spectrum of closed-loop systems. This result significantly strengthens the result in A. Babiarz et. al. Pole placement theorem for discrete time-varying linear systems.SIAM J. Control Optim. 55 (2017), no. 2, 671-692 about arbitrary assignability of Lyapunov spectrum of discrete time-varying linear control systems.

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Le Viet Cuong, Thai Son Doan. 2019-08-12. Assignability of dichotomy spectrum for discrete time-varying linear control systems. https://arxiv.org/abs/1908.04763

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