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

Bogdan Żak (2004)

International Journal of Applied Mathematics and Computer Science

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...

The role of parameter constraints in EE and OE methods for optimal identification of continuous LTI models

Witold Byrski, Jedrzej Byrski (2012)

International Journal of Applied Mathematics and Computer Science

The paper presents two methods used for the identification of Continuous-time Linear Time Invariant (CLTI) systems. In both methods the idea of using modulating functions and a convolution filter is exploited. It enables the proper transformation of a differential equation to an algebraic equation with the same parameters. Possible different normalizations of the model are strictly connected with different parameter constraints which have to be assumed for the nontrivial solution of the optimal...

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