About the Conditions for Locally Relative Controllability of aDifferential Inclusion

Otakulov S., Rahimov B.SH.

O‘zbekiston matematika jurnali · 2025-yil

Annotatsiya

The mathematical model of the control system considered in this paper is presented in the form of a linear nonstationary differential inclusion. For this model of the control system, the problem of locally relative controllability is studied. The necessary conditions of locally relative $M-$controllability for compact terminal set $M$ are obtained. Property of locally relative controllability of differential inclusion has been studied using the methods of convex analysis, properties of multivalued maps, support functions and the fundamental matrix for solving linear systems of differential equations.

Maqola ma’lumotlari
MualliflarOtakulov S., Rahimov B.SH.
JurnalO‘zbekiston matematika jurnali
NashriyotЎзбекистон Республикаси ФА Математика институти
ISSN2010-7269
Nashr sanasi2025-09-06
Jild69
Son3
Betlar134-141
TilIngliz
Ilmiy sohaFizika-matematika
DOI10.29229/uzmj.2025-3-14
Indeksga qo‘shilgan2026-08-26

Kalit so‘zlar

dynamic system, differential inclusion, terminal set, locally relative controllability, conditions for controllability

Ilmiy soha

Iqtibos keltirish

APAOtakulov S., & Rahimov B.SH. (2025). About the Conditions for Locally Relative Controllability of aDifferential Inclusion. O‘zbekiston matematika jurnali, 69(3), 134-141. https://doi.org/10.29229/uzmj.2025-3-14
GOST (OAK)Otakulov S., Rahimov B.SH. About the Conditions for Locally Relative Controllability of aDifferential Inclusion // O‘zbekiston matematika jurnali. – 2025. – T. 69, № 3. – P. 134-141. – DOI: 10.29229/uzmj.2025-3-14.
MLAOtakulov S., and Rahimov B.SH. “About the Conditions for Locally Relative Controllability of aDifferential Inclusion.” O‘zbekiston matematika jurnali, 69(3), 134-141, 2025. https://doi.org/10.29229/uzmj.2025-3-14
ChicagoOtakulov S., and Rahimov B.SH. “About the Conditions for Locally Relative Controllability of aDifferential Inclusion.” O‘zbekiston matematika jurnali, 69(3), 134-141 (2025). https://doi.org/10.29229/uzmj.2025-3-14
HarvardOtakulov S., and Rahimov B.SH (2025) ‘About the Conditions for Locally Relative Controllability of aDifferential Inclusion’, O‘zbekiston matematika jurnali, 69(3), 134-141. https://doi.org/10.29229/uzmj.2025-3-14
BibTeX
@article{otakulovs2025,
  title = {About the Conditions for Locally Relative Controllability of aDifferential Inclusion},
  author = {Otakulov S. and Rahimov B.SH.},
  journal = {O‘zbekiston matematika jurnali},
  year = {2025},
  volume = {69},
  number = {3},
  pages = {134-141},
  doi = {10.29229/uzmj.2025-3-14},
  url = {https://doi.org/10.29229/uzmj.2025-3-14}
}

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