O‘zbekiston matematika jurnali Volume 69 Issue 3 (2025) · pp. 134-141

About the Conditions for Locally Relative Controllability of aDifferential Inclusion

Otakulov S., Rahimov B.SH.

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Abstract

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.

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

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Cite

APA 7 
Otakulov S. & Rahimov B.SH. (2025). About the Conditions for Locally Relative Controllability of aDifferential Inclusion. O‘zbekiston matematika jurnali, 69(3), 134-141.
GOST R 7.0.5 
Otakulov S., Rahimov B.SH. About the Conditions for Locally Relative Controllability of aDifferential Inclusion // O‘zbekiston matematika jurnali. 2025. Т. 69. № 3. С. 134-141.
BibTeX 
@article{s.2025,
  author  = {Otakulov S. and Rahimov B.SH.},
  title   = {About the Conditions for Locally Relative Controllability of aDifferential Inclusion},
  journal = {O‘zbekiston matematika jurnali},
  year    = {2025},
  volume  = {69},
  number  = {3},
  pages   = {134-141}
}
RIS 
TY  - JOUR
AU  - Otakulov S.
AU  - Rahimov B.SH.
TI  - About the Conditions for Locally Relative Controllability of aDifferential Inclusion
JO  - O‘zbekiston matematika jurnali
PY  - 2025
VL  - 69
IS  - 3
SP  - 134
EP  - 141
ER  -