Stabilization of the Motion of Pseudo-Linear Affine Systems

Affine systems of special type are considered. For this class of system of equations, new conditions for stabilization of motion by a linear control of special type are established. These conditions are based on constraints for the fundamental matrix of linear approximation of the system and the vec...

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Bibliographic Details
Published in:International applied mechanics 2017-05, Vol.53 (3), p.334-341
Main Authors: Martynyuk, A. A., Chernetskaya, L. N., Martynyuk-Chernienko, Yu. A.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Classical Mechanics
Inequalities
Linear control
Mathematical analysis
Matrix methods
Physics
Physics and Astronomy
Stabilization
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Summary:Affine systems of special type are considered. For this class of system of equations, new conditions for stabilization of motion by a linear control of special type are established. These conditions are based on constraints for the fundamental matrix of linear approximation of the system and the vector function of nonlinearities. Both linear and nonlinear integral inequalities are used
ISSN:1063-7095
1573-8582
DOI:10.1007/s10778-017-0815-5