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Modelling of the motion of a helicopter with a suspended load is described. The mathematical model takes into account stochastic disturbances acting on the load suspension point. The proposed approach allows solution of the problem of optimal control with minimization of oscillation and control...
Active magnetic bearing (AMB) systems have recently attracted much attention in the rotating machinery industry due to their advantages over traditional bearings such as fluid film and rolling element bearings. The AMB control system must provide robust performance over a wide range of machine...
This article provides a dynamic description of the interaction modelled as war between malignant cells (cancer), benign cells, and killer agents. Killer agents are, firstly, killer cells generated by the immune system and, secondly, chemotherapy, X-ray treatment, laser treatment, radiotherapy,...
The role of disease in ecological systems is a very important issue from both mathematical and ecological points of view. This paper deals with the qualitative analysis of a prey-dependent predator – prey system in which a disease is spreading among the prey species only. We have analysed the...
A two-person nonlinear dynamic game is presented to model the government's strategy to decrease the budget deficit, where Player 1 is the government using fiscal control and Player 2 represents the private sector. In our macroeconomic model the growth rate of the labour force is not known, but...
Complicated multi-domain systems are usually described in terms of modelling languages. These models are mainly used for simulation. We discuss the usage of an algorithmic plant description for nonlinear controller design based on differential geometric concepts. The design procedures themselves...
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