Abstract
An algorithm for polyhedral approximation of the reachable set of impulsive dynamic control systems is designed. The boundary points of the reachable set are determined by recursively generating and solving a family of auxiliary optimal impulsive control problems with state-linear objective functional. The impulsive control problem is solved with an algorithm that implicitly reduces the problem an ordinary optimal control problem. The reduced problem thus obtained is solved with an algorithm based on local approximations of the reachable set.
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Original Russian Text © V.A. Baturin, E.V. Goncharova, F.L. Pereira, J.B. Sousa, 2006, published in Avtomatika i Telemekhanika, 2006, No. 3, pp. 8–19.
The first and second authors were supported by the Russian Foundation for Basic Research, project nos. 05-01-00477, 05-08-50226, and the third and fourth authors were supported by INVOTAN and Funda da Ciência e Tecnologia project Cordyal.
This paper was recommended for publication by B.M. Miller, a member of the Editorial Board
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Baturin, V.A., Goncharova, E.V., Pereira, F.L. et al. Measure-controlled dynamic systems: Polyhedral approximation of their reachable set boundary. Autom Remote Control 67, 350–360 (2006). https://doi.org/10.1134/S0005117906030027
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DOI: https://doi.org/10.1134/S0005117906030027