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This work deals with the study of an optimal control of a system of nonlineardifferential equations using the Bagarello's operator approach, recentlyintroduced in a paper (Int. Jour. of Theoretical Physics, 43, issue 12 (2004),p. 2371 - 2394). The control problem is reduced by using the Pontryagin'smaximum principle, to a system of ordinary differential equations with unknownstate and adjoint variables. Its solution is then described in terms of aseries expansion of commutators involving an unbounded self-adjoint, denselydefined, system Hamiltonian operator H and initial position operators. Relevantsimple applications are discussed.

Control of ordinary differential equations using Bagarello's operator approach : Case of forced harmonic oscillator systems