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Uniform Global Asymptotic Stabilization of Semilinear Periodic Discrete-Time Systems.

Authors :
Czornik, Adam
Makarov, Evgenii
Niezabitowski, Michal
Popova, Svetlana
Zaitsev, Vasilii
Source :
IEEE Transactions on Automatic Control. Jul2022, Vol. 67 Issue 7, p3598-3605. 8p.
Publication Year :
2022

Abstract

Semilinear discrete-time control systems with periodic coefficients are considered. The problem of uniform global asymptotic stabilization of the zero equilibrium of the closed-loop system by state feedback is studied. It is assumed that the free dynamic system has a Lyapunov stable zero equilibrium. The method for constructing a damping control is extended from time-invariant systems to time varying periodic semilinear discrete-time systems. By using this approach, sufficient conditions for uniform global asymptotic stabilization for those systems are obtained. Moreover, the converse Lyapunov theorem on Lyapunov (nonasymptotic) stability is proved for complex and real linear periodic discrete-time systems. Finally, examples of using the obtained results are presented. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00189286
Volume :
67
Issue :
7
Database :
Academic Search Index
Journal :
IEEE Transactions on Automatic Control
Publication Type :
Periodical
Accession number :
157745669
Full Text :
https://doi.org/10.1109/TAC.2021.3105648