Artykuł jest odpowiedzią na konieczność stosowania rachunku różniczkowo-całkowego ułamkowych rzędów w różnych dziedzinach nauki takich jak teoria sterowania czy miernictwo dynamiczne. W pracy zaprezentowano system pomiarowy, który zamodelowano zarówno równaniem różniczkowym 2-go rzędu jak i rachunkiem różniczkowo-całkowym ułamkowych rzędów.

The method of diagnostics and an estimation of a condition of process of construction of a ship on the basis of integrated characteristics in PERT system is shown in the paper. The mathematical apparatus of the description of integrated characteristics and procedure of determination of their parameters is given. The technology of forming of the integrated characteristic of discrete production on the basis of Gantt chart and procedure of an estimation of a condition given process as object of management under the scheme "times-resources" is resulted. The result is illustrated by an example of construction of a ship of type "river-sea".

Abstract: One of the basic tasks of the accident reconstruction is to define values of parameters of participants of the accident before its actual occurrence. The assessment of correct behaviours is made and the court decides whether the accident participants are guilty or innocent. Therefore, the credibility of specific values is essential. The use of so-called accident recorders - EDR/ADR type of devices, as an alternative compared to classical methods for accidents reconstruction - has become more common over the past years. The paper includes basic notions related to his type of devices, describes potential sources of uncertainty of the car motion reconstruction results obtained on the basis of their records. The examples presented confirm their usefulness, however, they also indicate possible significant errors in the motion parameters assessment if simplified devices are used (where vehicle body lean movements in motion are not analysed).

W pracy opracowano wzór na minimalną długość strefy rozgałęźnej współczesnych górek rozrządowych. Wyniki pracy mogą być wykorzystane do obliczeń kinematycznych górek oraz obliczeń zajętości terenu pod stacje rozrządowe, manewrowe i zakładowe.

Problem of optimal system controlling a motion of the plant consisting of twomasses connected with a non-linear spring is considered in the paper. For example such plants can be motorcars with trailer or dumb barge pulling by ship. The irregular motion of elements of such plants influences negative on consume energy. In addition, because of safety, the speed of motion should be limited.