Optimal control of Goursat-Volterra systems

2007/05/29 by S. A. Belbas, Belbas, S. A.
Mathematics · #45D05 #45G15 #49B34 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Optimization and Control (math.OC) #math.CA #math.OC #msc:45D05 #msc:45G15 #msc:49B34

paper · pdf · doi:10.48550/arxiv.0705.4272

71 pages

arxiv created 2007/05/29 · arxiv updated 2009/12/01

Abstract

We analyze an optimal control problem for systems of integral equations of Volterra type with two independent variables. These systems generalize both, the hyperbolic control problems for systems of Goursat-Darboux type, and the optimal control of ordinary (i.e. with one independent variable) Volterra integral equations. We prove extremal principles akin to Pontryagin's maximum principle.

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