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math.OC2005
Optimal control of Goursat-Darboux systems in domains with curvilinear boundaries
S. A. Belbas
We derive necessary conditions for optimality in control problems governed by hyperbolic partial differential equations in Goursat-Darboux form. The conditions consist of a set of…
math.OC2004
Dynamic programming in mixed continuous-discrete time scales
S. A. Belbas
We obtain the dynamic programming equations and optimality conditions akin to Pontryagin's extremum principle for certain mathematical models of hybrid control systems.
math.OC2004
Optimal Control of Volterra Equations with Impulses
S. A. Belbas, W. H. Schmidt
We consider an optimal control problem for a system governed by a Volterra integral equation with impulsive terms. The impulses act on both the state and the control; the control c…