Journal of Applied Analysis
Vol. 3, No. 1, pp. 1-22 (2003)
Optimal synthesis for nonoscillatory controlled objects
V. Boltyanski and S. GorelikovaCentro de Investigacion
en Matematicas, A.P. 402
36000 Guanajuato, $\; $GTO
Abstract: In the paper we consider nonlinear, nonoscillatory controlled objects of second order. Main Theorem affirms that for these controlled objects there exist (in the controllability region) the time-optimal synthesis of Feldbaum's type. In the beginning of the paper, Felfbaum's $n$-interval Theorem is proved for linear controlled objects of $n$-th order with real eigenvalues (and without the requirement that the eigenvalues are pairwise distinct).
Keywords: Optimization, optimal synthesis, controlledobject, Feldbaum's $n$-interval Theorem, nonlinear controlled objects,nonoscillatory controlled objects, controllability region, synthesis ofFeldbaum's type
Classification (MSC2000): 49J15, 49K15, 49N05
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Electronic version published on: 12 Jun 2003. This page was last modified: 12 Jun 2003.