Controllability of ensembles of linear dynamical systems

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• 作者：Michael Schö ; nlein ; ^{schoenlein@mathematik.uni-wuerzburg.de" class="auth_mail" title="E-mail the corresponding author} ; Uwe Helmke ^{helmke@mathematik.uni-wuerzburg.de" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Polynomial approximations ; Ensemble control ; Parameter-dependent linear systems
• 刊名：Mathematics and Computers in Simulation
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：125
• 期：Complete
• 页码：3-14
• 全文大小：231 K

文摘

We investigate the task of controlling ensembles of initial and terminal state vectors of parameter-dependent linear systems by applying parameter-independent open loop controls. Necessary, as well as sufficient, conditions for ensemble controllability are established, using tools from complex approximation theory. For real analytic families of linear systems it is shown that ensemble controllability holds only for systems with at most two independent parameters. We apply the results to networks of linear systems and address the question of open-loop robust synchronization.