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20 April 2024

» arxiv » 1503.3849

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Control of ordinary differential equations using Bagarello's operator approach : Case of forced harmonic oscillator systems
Jean Ghislain Compaore ; Villevo Adanhounme ; Mahouton Norbert Hounkonnou ;
Date:	12 Mar 2015
Abstract:	This work deals with a study of an optimal control of a system of nonlinear differential equations by the Bagarello’s operator approach recently introduced in ( Int. Jour. of Theoretical Physics, 43, issue 12 (2004), p. 2371 - 2394). The control problem is reduced, by the Pontryagin’s maximum principle, to a system of ordinary differential equations with unknown state and adjoint variables. The solution of such a system is described by an unbounded self-adjoint and densely defined Hamiltonian operator H. Some relevant applications are discussed.
Source:	arXiv, 1503.3849
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