In this paper, we study the problem of stabilizing the equilibrium state for a hyper bolic system with negative nonlocal characteristic velocities and measurement error. The formulation of a mixed boundary control problem for the indicated hyperbolic system is given. The stability in the l2-norm with respect to a discrete perturbation of the equilib rium state of an initial-boundary difference problem is determined. A discrete Lyapunov function is constructed and a stability theorem for the equilibrium state of an initial boundary difference problem in the l2-norm with respect to a discrete perturbation is proved.
| Mualliflar | Aloev, R.D., Berdyshev, A., Alimova, V., Алоев, Р.Д., Бердышев, А., Алимова, В. |
|---|---|
| Jurnal | Ҳисоблаш ва амалий математика муаммолари |
| Nashr sanasi | 2024-05-21 |
| Son | 1 |
| Betlar | 122-139 |
| Til | Rus |
hyperbolic equation, nonlocal characteristic velocity, stability, explicit difference scheme, гиперболическое уравнение, нелокальная характеристическая скорость, устойчивость, явная разностная схема
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