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Time-optimal control of infinite order hyperbolic systems with time delays

Kowalewski A.

International Journal of Applied Mathematics and Computer Science

2009

Vol. 19, no 4

597-608

In this paper, the time-optimal control problem for infinite order hyperbolic systems in which time delays appear in the integral form both in state equations and in boundary conditions is considered. Optimal controls are characterized in terms of an adjoint system and shown to be unique and bang-bang. These results extend to certain cases of nonlinear control problems. The particular properties of optimal control are discussed.

A problem for the hyperbolic system of differential equation without initial conditions

Zaręba L.

Demonstratio Mathematica

2005

Vol. 38, nr 2

387--400

In the present paper we consider a problem for the system of hyperbolic equations of the first order with periodic conditions and without initial conditions. Some conditions for uniqueness and existence of solution for this problem are given.