scholarly journals A Review of Research on Dynamics of Impulsive Control Systems: the Impact of V. A. Yakubovich∗∗The authors were partly financed by by Saint Petersburg State University, Grant 6.38.230.2015. AG and AC were partly supported by the Russian Foundation for Basic Research, Grant 14-01-00107-a.

2015 ◽  
Vol 48 (11) ◽  
pp. 396-401
Author(s):  
Arkadii Kh. Gelig ◽  
Alexander N. Churilov ◽  
Alexander I. Shepeljavyi
2015 ◽  
Vol 25 (6) ◽  
Author(s):  
Nikita V. Kotlyarov

AbstractWe are concerned with problems of the existence of periodic structures in words from formal languages. We consider both squares (that is, fragments of the form xx, where x is an arbitrary word) and squares with one mismatch (that is, fragments of the form xy, where a word x differs from a word y by exactly one letter). Given natural numbers lThis research was carried out with the financial support of the Russian Foundation for Basic Research (grant no. 14-01-00598) and of the Branch of Mathematics of the Russian Academy of Sciences Program “Algebraic and combinatorial methods of mathematical cybernetics and new generation information systems” (the project “Problem of optimal synthesis of control systems”).


2021 ◽  
Author(s):  
Maria Kostadinova-Avramova ◽  
Petar Dimitrov ◽  
Andrei Kosterov ◽  
Mary Kovacheva

<p>Numerous historical sources and archaeological monuments attest the age of Antiquity in Bulgaria – from both the early Roman period (I – III c.) and Late Antiquity (IV – VI c.). Owing to systematic archaeological excavations, lasting more than 100 years, plenty of information has been accumulated concerning not only all aspects and manifestations of its material culture, but also their evolution and chronology.  This in turn allows for interdisciplinary fields such as archaeomagnetism to progress.</p><p>There are many archaeomagnetically studied archaeological structures from the Antiquity. The results included in the Bulgarian database form 74 reference points. However, only 20 of them are full-vector determinations because 70 % of the investigated materials are bricks. Hence, the secular variation of declination is poorly constrained within the considered period. Moreover, the reuse of bricks in the constructions occurred quite often (especially in the Late Antiquity) providing for possible errors in archaeological dating. In addition, stronger effects of magnetic anisotropy and cooling rate are usually expected for bricks than for hearths, domestic ovens, production kilns or burnt dwelling remains (there are no results from pottery in the Bulgarian dataset) and both factors are not evaluated for most of the older results. All this can explain the contradictions observed between some of the experimental results juxtaposed over the absolute time scale. In an attempt to clarify these contradictions 13 baked clay structures from eight archaeological sites were archaeomagnetically studied producing seven new directional and eight new intensity data. The samples collected possess variable magnetic properties suggesting differences in clay sources and/or firing conditions. Magnetically soft minerals prevail in seven structures but in the remaining six, abundant HCSLT phase is detected. The success rate of archaeointensity determination experiments vary from 49 to 100 %. It appears that samples containing HCSLT phase always produces good araeointensity results unlike those with the dominant presence of soft carriers.</p><p>The new reference points are compared with the present compilation of Bulgarian archaeomagnetic dataset and with the data from the neighboring countries.</p><p> </p><p>This study is supported by the grant KP-06-Russia-10 from the Bulgarian National Science Fund and Russian Foundation of the Basic Research grant 19-55-18006.</p>


2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Xuling Wang ◽  
Xiaodi Li ◽  
Gani Tr. Stamov

This paper studies impulsive control systems with finite and infinite delays. Several stability criteria are established by employing the largest and smallest eigenvalue of matrix. Our sufficient conditions are less restrictive than the ones in the earlier literature. Moreover, it is shown that by using impulsive control, the delay systems can be stabilized even if it contains no stable matrix. Finally, some numerical examples are discussed to illustrate the theoretical results.


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