Abstract
Consideration is given to pulse control problems for the tube of trajectories of the linear differential system under incomplete information on the initial data. Apart from the ordinary requirement for boundedness of variation, a special constraint of the ellipsoidal type is imposed on control actions; at this constraint, vectors of jumps of generalized controls belong to the specified ellipsoid of the corresponding finite-dimensional space. The dependence of the variation of optimal pulse control that solves the control problem for the tube of trajectories on parameters of the ellipsoidal constraint on admissible controls is studied.
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Original Russian Text © O.G. Vzdornova, T.F. Filippova, 2007, published in Avtomatika i Telemekhanika, 2007, No. 11, pp. 135–149.
This work was supported by the Russian Foundation for Basic Research, project no. 06-01-00483.
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Vzdornova, O.G., Filippova, T.F. Pulse control problems under ellipsoidal constraints: Constraint parameters sensitivity. Autom Remote Control 68, 2015–2028 (2007). https://doi.org/10.1134/S0005117907110100
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DOI: https://doi.org/10.1134/S0005117907110100