Algorithms to estimate the reachability sets of the pulse controlled systems with ellipsoidal phase constraints |
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Authors: | T F Filippova O G Matviichuk |
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Affiliation: | 1.Institute of Mathematics and Mechanics, Ural Branch,Russian Academy of Sciences,Yekaterinburg,Russia |
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Abstract: | Methods to construct the ellipsoidal estimates of the reachability sets of a nonlinear dynamic system with scalar pulse control
and uncertainty in the initial data were proposed. The considered pulse system was rearranged in the ordinary differential
inclusion already without any pulse components by means of a special discontinuous time substitution. The results of the theory
of ellipsoidal estimation and the theory of evolutionary equations of the multivalued states of dynamic systems under uncertainty
and ellipsoidal phase constraints were used to estimate the reachability sets of the resulting nonlinear differential inclusion. |
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