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Relative controlability of a continuous system with state delay and its discrete analogue

https://doi.org/10.67268/1812-5093-2026-34-1s-142-147

EDN: FLJSJT

Abstract

A criterion for the relative controllability of a linear time-invariant system with constant delay as well as its discrete-time analog is established by means of a limiting transition from the discrete-time system to the continuous-time one. The differences between the governing equations for the continuous-time and discrete-time systems are identified.

About the Authors

V. V. Krakhotko
Belarusian State University
Belarus

Minsk



G. P. Razmyslovich
Belarusian State University
Belarus

Minsk



References

1. Krakhotko V. V., Ignatenko V, V. On a proof of the criterion relative controllability systems with delay. Vestnik BSU, 1977, vol. 1, no. 3, pp. 64–65 (in Russian).

2. Krakhotko V. V., Gabasov R. F., Kirillova F. M., Minyik S. A. Theory controllability linear discrete systems. III Systems with consequence. Differen. equations, 1972, vol. 8, no. 7, pp. 1284–1291 (in Russian).

3. Shklyar B. Sh. On problem of relative controllability systems with deviating argument of neutral type. Differen. equations, 1974, vol. X, no. 8, pp. 1443–1450 (in Russian).

4. Gabasov R. F., Kirillova F. M. Optimization Linears System. Minsk, BSU, 1973. 248 p. (in Russian).


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For citations:


Krakhotko V.V., Razmyslovich G.P. Relative controlability of a continuous system with state delay and its discrete analogue. Proceedings of the Institute of Mathematics of the NAS of Belarus. 2026;34(1s):143-147. (In Russ.) https://doi.org/10.67268/1812-5093-2026-34-1s-142-147. EDN: FLJSJT

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ISSN 1812-5093 (Print)