PARTIAL CONTROLLABILITY OF SEMILINEAR SYSTEMS

Agamirza Bashirov

PARTIAL CONTROLLABILITY OF SEMILINEAR SYSTEMS

Abstract

The paper considers semilinear control system in the product of Hilbert spaces $X=H\times G$ driven by densely defined closed linear operator $A$ generating a strongly continuous semigroup. For the linear operator $L$, projecting $X$ to $H$, it is proved a sufficient condition for $L$-partially exact controllability to $L(D(A))$ which means that for every initial state $\xi \in X$ and every $\eta \in D(A)$ there exists a control $u$ such that $Lx^{\xi ,u}(T)=L\eta $, where $x^{\xi ,u}$ is the state process corresponding the initial state $\xi $ and the control $u$. The result is demonstrated on examples.

Keywords

References

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Details

Primary Language

English

Subjects

Calculus of Variations, Mathematical Aspects of Systems Theory and Control Theory

Journal Section

Research Article

Authors

Agamirza Bashirov ^*
0000-0002-3083-6314
Türkiye

Publication Date

March 17, 2026

Submission Date

September 1, 2025

Acceptance Date

September 23, 2025

Published in Issue

Year 2026 Volume: 16 Number: 3

IZ

https://izlik.org/JA95JY92BD

Cite

RIS / Bibtex

APA

Bashirov, A. (2026). PARTIAL CONTROLLABILITY OF SEMILINEAR SYSTEMS. TWMS Journal of Applied and Engineering Mathematics, 16(3), 319-330. https://izlik.org/JA95JY92BD

AMA

1.Bashirov A. PARTIAL CONTROLLABILITY OF SEMILINEAR SYSTEMS. JAEM. 2026;16(3):319-330. https://izlik.org/JA95JY92BD

Chicago

Bashirov, Agamirza. 2026. “PARTIAL CONTROLLABILITY OF SEMILINEAR SYSTEMS”. TWMS Journal of Applied and Engineering Mathematics 16 (3): 319-30. https://izlik.org/JA95JY92BD.

EndNote

Bashirov A (March 1, 2026) PARTIAL CONTROLLABILITY OF SEMILINEAR SYSTEMS. TWMS Journal of Applied and Engineering Mathematics 16 3 319–330.

IEEE

[1]A. Bashirov, “PARTIAL CONTROLLABILITY OF SEMILINEAR SYSTEMS”, JAEM, vol. 16, no. 3, pp. 319–330, Mar. 2026, [Online]. Available: https://izlik.org/JA95JY92BD

ISNAD

Bashirov, Agamirza. “PARTIAL CONTROLLABILITY OF SEMILINEAR SYSTEMS”. TWMS Journal of Applied and Engineering Mathematics 16/3 (March 1, 2026): 319-330. https://izlik.org/JA95JY92BD.

JAMA

1.Bashirov A. PARTIAL CONTROLLABILITY OF SEMILINEAR SYSTEMS. JAEM. 2026;16:319–330.

MLA

Bashirov, Agamirza. “PARTIAL CONTROLLABILITY OF SEMILINEAR SYSTEMS”. TWMS Journal of Applied and Engineering Mathematics, vol. 16, no. 3, Mar. 2026, pp. 319-30, https://izlik.org/JA95JY92BD.

Vancouver

1.Agamirza Bashirov. PARTIAL CONTROLLABILITY OF SEMILINEAR SYSTEMS. JAEM [Internet]. 2026 Mar. 1;16(3):319-30. Available from: https://izlik.org/JA95JY92BD