Article 14113

Title of the article

STABILIZATION OF CONTINUOUS-DISCRETE SYSTEM WITH PERIODIC MATRIX OF COEFFICIENTS 

Authors

Lizina Elena Aleksandrovna, Postgraduate student, Mordovia State University named after N. P. Ogaryov (Saransk, 68 Bolshevistskaya str.), lizina-elena@yandex.ru
Shchennikov Vladimir Nikolaevich, Doctor of physical and mathematical sciences, professor, head of sub-department of differential equations, Mordovia State University named after N. P. Ogaryov (Saransk, 68 Bolshevistskaya str.), du@math.mrsu.ru
Shchennikova Elena Vladimirovna, Doctor of physical and mathematical sciences, professor, sub-department of informatics and computer science, Mordovia State University named after N.P. Ogaryov (Saransk, 68 Bolshevistskaya str.), du@math.mrsu.ru 

Index UDK

517.977.1

Abstract

The article considers a controlled dynamical system given as a linear system of differential equations with periodic coefficient matrix. The authors prove the existence of piecewise continuous stabilizing control over all phase variables. The proof is substantially based on the criterion of asymptotic stability of linear differential equations with a periodic matrix. At their research the authors use the approximate construction of the monodromy matrix and its multiples. 

Key words

continuous-discrete systems, piecewise constant control, periodic coefficients. 

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References

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Дата создания: 20.01.2014 13:59
Дата обновления: 21.07.2014 08:29