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This article is cited in 3 scientific papers (total in 3 papers)
Differentical equations, dynamical systems and optimal control
Estimates for solutions to one class of nonlinear nonautonomous systems with time-varying concentrated and distributed delays
I. I. Matveevaab a Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
b Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia
Abstract:
We consider a class of nonlinear systems of nonautonomous differential equations with time-varying concentrated and distributed delays than can be unbounded. Using a Lyapunov – Krasovskii functional, some estimates of solutions are established. The obtained estimates allow us to conclude whether the solutions are stable. In the case of exponential and asymptotic stability, stabilization rates of the solutions at infinity are pointed out.
Keywords:
time-varying delay systems, variable coefficients, estimates for solutions, stability, Lyapunov – Krasovskii functional.
Received October 26, 2021, published December 28, 2021
Citation:
I. I. Matveeva, “Estimates for solutions to one class of nonlinear nonautonomous systems with time-varying concentrated and distributed delays”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 1689–1697
Linking options:
https://www.mathnet.ru/eng/semr1469 https://www.mathnet.ru/eng/semr/v18/i2/p1689
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Abstract page: | 112 | Full-text PDF : | 44 | References: | 22 |
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