Construction of program control for the differential-difference system with linearly increasing delay

Title	Construction of program control for the differential-difference system with linearly increasing delay
Authors	V. S. Zhigalov¹, A. P. Zhabko¹ ¹Saint-Petersburg State university
Annotation	In this paper, the issues of 0-controllability and constructive identifiability of linear differential-difference systems with linearly increasing delay are studied. To study these issues, the methods used for similar systems with a constant delay in the works of V.E. Khartovsky, A.V. Metelsky, and S.A. Minyuk were applied. The main result of the study is an extension of the known results to the case of systems with linearly increasing delay.
Keywords	differential-difference equations, linearly increasing delay, program control.
Citation	Zhigalov V. S., Zhabko A. P. ''Construction of program control for the differential-difference system with linearly increasing delay'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 29-31, 2025). Saransk: SVMO Publ, 2025. - pp. 101-105. Available at: https://conf.svmo.ru/files/2025/papers/paper20.pdf. - Date of access: 30.08.2025.