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EN
Two approaches to modeling microsatellite DNA repeats are considered. The former is an infinite dimensional system based on the theory of branching random walks which dynamic properties are characterized using Laplace transforms and Laplace asymptotic techniques. The latter is an n-dimensional approximation where microsatellite DNA repeats model is the example of a chain system. Both models were the subject of many numerical calculations using the MATLAB software. The results allow us to evaluate the asymptotic behavior and determine the effect of the system parameters on the run of the solution and the state variables.
EN
The objective of this present paper is to implement and verify the control algorithm for a vehicle with nonholonomic constraint proposed by Morin and Samson [6] on a small mobile robot. This implementation provides real time control which permits to do some research work. To achieve this aim operating system RATAI Linux was chosen as a real time operating system. An object of research was the 2-whccled mobile robot "Mini Tracker 2p" which construction is described in [4] The whole project was designed that it would be easy to add and verify other control algorithms in future.
3
Content available remote Dynamic properties of chain systems with applications to biological models
EN
Spectral properties of chain systems are considered. We combine finite dimensional and asymptotic techniques. The microsatellite DNA repeats model is presented as example of chain system. Numerical calculations were made using the MATLAB program.
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