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Estimation of solutions of neutral type differential-difference systems with two incommensurate delays
| Title | Estimation of solutions of neutral type differential-difference systems with two incommensurate delays |
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| Authors | D. S. Evtina1, A. P. Zhabko1 1Saint Petersburg State University |
| Annotation | This paper proposes a method for estimating solutions of systems of differential-difference equations of neutral type with two incommensurable delays in the neutral part. In practice, such delays occur in optimal control problems for dynamic systems with information delay of various nature. Systems with commensurable delays have already been considered in other works and were reduced to a system with a single delay. However, the case of incommensurable delays needs to be analyzed separately. Control systems are characterized by two important quantities: stability margin and overshoot. Presented approach allows finding the second one for the considered systems. The result can also be extended to systems with multiple incommensurable delays in the neutral part, as well as to other types of systems (such as almost periodic systems). |
| Keywords | differential equations, time-delay systems, neutral type delay, incommensurate delays. |
| Citation | Evtina D. S., Zhabko A. P. ''Estimation of solutions of neutral type differential-difference systems with two incommensurate delays'' [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. 91-94. Available at: https://conf.svmo.ru/files/2025/papers/paper18.pdf. - Date of access: 30.08.2025. |
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