Abstract
We construct a special differential-algebraic boundary problem for nonlocal control improvement in systems linear with respect to the control. Based on the improvement boundary problem, we formulate a new necessary optimality condition that strengthens the maximum principle. For controls satisfying the maximum principle, we give examples of strict improvement with the proposed boundary problem.
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Original Russian Text © A.S. Buldaev, 2011, published in Avtomatika i Telemekhanika, 2011, No. 6, pp. 87–94.
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Buldaev, A.S. A boundary improvement problem for linearly controlled processes. Autom Remote Control 72, 1221–1228 (2011). https://doi.org/10.1134/S0005117911060087
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DOI: https://doi.org/10.1134/S0005117911060087