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

100%

Kowalewski A.

International Journal of Applied Mathematics and Computer Science

2009

tom 19

nr 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.

The problems of collision avoidance at sea in the formulation of complex motion principles

100%

Żak B.

International Journal of Applied Mathematics and Computer Science

2004

tom 14

nr 4

503-514

The paper presents a mathematical model of a collision situation for objects afloat based on the rules of a multiple complex motion. It also contains an analysis of the presented model and draws some conclusions from it. The method used to determine the minimum-time control of ships in a situation of colliding with other objects afloat is presented for a mathematical model of a collision situation. It also includes the results of a simulation study conducted by means of this method. A parallel approach of a ship to an encountered object was studied, i.e., a situation generating a critical case which is the collision of two ships.

Ograniczanie wyników

2 International Journal of Applied Mathematics and Computer Science

1 Kowalewski A.

1 Żak B.

1 2009

1 2004

Wyniki wyszukiwania

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

The problems of collision avoidance at sea in the formulation of complex motion principles