ON THE PROPERTY OF UNIFORM COMPLETE CONTROLLABILITY FOR A LINEAR SYSTEM WITH LOCAL INTEGRABLE COEFFICIENTS
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Abstract
In this paper, the property of uniform complete controllability for linear systems with locally integrable and integral coefficients is introduced (definition 3). The presence of the studied property in such systems allows solving problems of both local and global control of their asymptotic characteristics, i. e. control of the asymptotics of solutions of these dynamic systems (for more details, see the monograph [3]). The latter fact confirms the relevance of the present research.
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References
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Makarov, E. K., & Popova, S. N. (2012). Upravljaemost' asimptoticheskih invariantov nestacionarnyh linejnyh sistem. Minsk: Belaruskaja navuka. (In Russ.).
Zajcev, V. A. (2015). Kriterii ravnomernoi upravlyaemosti lineinoi sistemy [Criteria for uniform controllability of a linear system]. Vestnik Udmurtskogo universiteta. Matematika. Mehanika. Komp'juternye nauki [The Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science], 25(2), 157–179. (In Russ., abstr. in Engl.).
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