On the stabilization of persistently excited linear systems

2008/10/12 by Chitour, Yacine, Sigalotti, Mario · 1 citation
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.0810.2122

Abstract

We consider control systems of the type x = A x +α(t)bu, where u∈\R, (A,b) is a controllable pair and α is an unknown time-varying signal with values in [0,1] satisfying a persistent excitation condition i.e., ∫_t^t+T\al(s)ds≥ μ for every t≥ 0, with 0

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