Abstract
In the paper we consider the class of nonlinear $n$-dimensional control systems that can be mapped to linear ones by change of variables and an additive change of control ($A$-linearizable systems). We show that for sufficiently small initial points the transferring to the origin is possible by means of bang-bang controls with no more than $n-1$ points of switching. Moreover in some cases such a transferring is extremal in the sense of time optimality. These results are based on technique of the power Markov min-problem. An algorithm of searching the mentioned above bang-bang controls is also given.
Citation
K. V. Sklyar . G. M. Sklyar . Yu. I. Karlovich . "On Bang-bang Controls for Some Nonlinear Systems." Commun. Math. Anal. 14 (2) 163 - 178, 2013.
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