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

International Journal of Applied Mathematics and Computer Science (2004)

- Volume: 14, Issue: 4, page 503-514
- ISSN: 1641-876X

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topŻak, Bogdan. "The problems of collision avoidance at sea in the formulation of complex motion principles." International Journal of Applied Mathematics and Computer Science 14.4 (2004): 503-514. <http://eudml.org/doc/207715>.

@article{Żak2004,

abstract = {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.},

author = {Żak, Bogdan},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {anti-collision systems; modelling; time-optimal control; collision situation},

language = {eng},

number = {4},

pages = {503-514},

title = {The problems of collision avoidance at sea in the formulation of complex motion principles},

url = {http://eudml.org/doc/207715},

volume = {14},

year = {2004},

}

TY - JOUR

AU - Żak, Bogdan

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

JO - International Journal of Applied Mathematics and Computer Science

PY - 2004

VL - 14

IS - 4

SP - 503

EP - 514

AB - 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.

LA - eng

KW - anti-collision systems; modelling; time-optimal control; collision situation

UR - http://eudml.org/doc/207715

ER -

## References

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- Susłow G.K. (1960): Theoretical Mechanics. - Warsaw: Polish Scientific Publishers.
- Żak B. (2001): Chosen the problems of synthesis the anti-collision system of control movement of ships. - Scientific Bulletins, No. 146B, Naval University, Gdynia, Poland.
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- Żak B. (2002b): Optimization of ship's trajectory in collision situation. - J. Techn. Physics, Vol. 43, No. 1, pp. 397-407. Zbl1029.70012
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- Żak B. (2003): A certain model of collision situation of sailing objects. - Proc. 9th IEEE Int. Conf. Methods and Models in Automation and Robotics, MMAR'03, Międzyzdroje, Poland, pp. 257-262.

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