RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
 General information Latest issue Archive Impact factor Guidelines for authors Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Avtomat. i Telemekh.: Year: Volume: Issue: Page: Find

 Avtomat. i Telemekh., 2011, Issue 9, Pages 127–141 (Mi at2280)

Topical issue

Algorithms to estimate the reachability sets of the pulse controlled systems with ellipsoidal phase constraints

T. F. Filippova, O. G. Matviichuk

Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia

Abstract: Methods to construct the ellipsoidal estimates of the reachability sets of a nonlinear dynamic system with scalar pulse control and uncertainty in the initial data were proposed. The considered pulse system was rearranged in the ordinary differential inclusion already without any pulse components by means of a special discontinuous time substitution. The results of the theory of ellipsoidal estimation and the theory of evolutionary equations of the multivalued states of dynamic systems under uncertainty and ellipsoidal phase constraints were used to estimate the reachability sets of the resulting nonlinear differential inclusion.

Full text: PDF file (649 kB)
References: PDF file   HTML file

English version:
Automation and Remote Control, 2011, 72:9, 1911–1924

Bibliographic databases:

Document Type: Article
Presented by the member of Editorial Board: L. B. Rapoport

Citation: T. F. Filippova, O. G. Matviichuk, “Algorithms to estimate the reachability sets of the pulse controlled systems with ellipsoidal phase constraints”, Avtomat. i Telemekh., 2011, no. 9, 127–141; Autom. Remote Control, 72:9 (2011), 1911–1924

Citation in format AMSBIB
\Bibitem{FilMat11} \by T.~F.~Filippova, O.~G.~Matviichuk \paper Algorithms to estimate the reachability sets of the pulse controlled systems with ellipsoidal phase constraints \jour Avtomat. i Telemekh. \yr 2011 \issue 9 \pages 127--141 \mathnet{http://mi.mathnet.ru/at2280} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2896159} \zmath{https://zbmath.org/?q=an:1230.93004} \transl \jour Autom. Remote Control \yr 2011 \vol 72 \issue 9 \pages 1911--1924 \crossref{https://doi.org/10.1134/S000511791109013X} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000297404400012} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80155176120} 

• http://mi.mathnet.ru/eng/at2280
• http://mi.mathnet.ru/eng/at/y2011/i9/p127

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. Matviychuk O.G., “Estimation Problem for Impulsive Control Systems Under Ellipsoidal State Bounds and with Cone Constraint on the Control”, Applications of Mathematics in Engineering and Economics (AMEE'12), AIP Conference Proceedings, 1497, eds. Pasheva V., Venkov G., Amer Inst Physics, 2012, 3–12
2. E. K. Kostousova, “On the polyhedral method of solving problems of control strategy synthesis”, Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 140–155
3. Matviychuk O.G., “Internal Ellipsoidal Estimates of Reachable Set of Impulsive Control Systems”, Applications of Mathematics in Engineering and Economics (AMEE'14), AIP Conference Proceedings, 1631, eds. Venkov G., Pasheva V., Amer Inst Physics, 2014, 238–244
4. Matviychuk O.G., “Internal Ellipsoidal Estimates of Reachable Set of Impulsive Control Systems Under Ellipsoidal State Bounds and With Cone Constraint on the Control”, Large-Scale Scientific Computing, Lssc 2013, Lecture Notes in Computer Science, 8353, eds. Lirkov I., Margenov S., Wasniewski J., Springer-Verlag Berlin, 2014, 125–132
5. Tatiana F. Filippova, Oksana G. Matviychuk, “Estimates of reachable sets of control systems with bilinear-quadratic nonlinearities”, Ural Math. J., 1:1 (2015), 45–54
6. Matviychuk O.G., “Internal Ellipsoidal Estimates For Bilinear Systems Under Uncertainty”, Applications of Mathematics in Engineering and Economics (AMEE'16), AIP Conference Proceedings, 1789, eds. Pasheva V., Popivanov N., Venkov G., Amer Inst Physics, 2016, UNSP 060008
7. Filippova T.F., “Estimates of Reachable Sets of Impulsive Control Problems With Special Nonlinearity”, Application of Mathematics in Technical and Natural Sciences (Amitans'16), AIP Conference Proceedings, 1773, ed. Todorov M., Amer Inst Physics, 2016, 100004
8. T. F. Filippova, “Vneshnie otsenki mnozhestv dostizhimosti upravlyaemoi sistemy s neopredelennostyu i kombinirovannoi nelineinostyu”, Tr. IMM UrO RAN, 23:1 (2017), 262–274
9. T. F. Filippova, “Otsenki mnozhestv dostizhimosti sistem s impulsnym upravleniem, neopredelennostyu i nelineinostyu”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 19 (2017), 205–216
10. Mikhail I. Gusev, “An algorithm for computing boundary points of reachable sets of control systems under integral constraints”, Ural Math. J., 3:1 (2017), 44–51
11. Matviychuk O.G., “Estimation Techniques For Bilinear Control Systems”, IFAC PAPERSONLINE, 51:32 (2018), 877–882
•  Number of views: This page: 197 Full text: 58 References: 21 First page: 12