FINITE TIME STABILIZATION OF NONAUTONOMOUS FIRST-ORDER HYPERBOLIC SYSTEMS | Sciact - Система учета научной деятельности ИМ СО РАН

FINITE TIME STABILIZATION OF NONAUTONOMOUS FIRST-ORDER HYPERBOLIC SYSTEMS Научная публикация

Журнал

SIAM Journal on Control and Optimization
ISSN: 0363-0129 , E-ISSN: 1095-7138

Вых. Данные

Год: 2021, Том: 59, Номер: 5, Страницы: 3179-3202 Страниц : 24 DOI: 10.1137/20M1343610

Ключевые слова

Finite time stabilization; Nonautonomous first-order hyperbolic systems; Reflection boundary conditions; Robustness; Stabilization criteria

Авторы

Kmit Irina ¹ , Natalya Lyul`ko ^2,3

Организации

1	Humboldt University of Berlin
2	Sobolev Institute of Mathematics, Russian Academy of Sciences, Novosibirsk
3	Novosibirsk State University, Novosibirsk

We address nonautonomous initial boundary value problems for decoupled linear first-order one-dimensional hyperbolic systems and investigate the phenomenon of finite time stabilization. We establish sufficient and necessary conditions ensuring that solutions stabilize to zero in a finite time for any initial L2-data. In the nonautonomous case we give a combinatorial criterion stating that robust stabilization occurs if and only if the matrix of reflection boundary coefficients corresponds to a directed acyclic graph. An equivalent robust algebraic criterion is that the adjacency matrix of this graph is nilpotent. In the autonomous case we also provide a spectral stabilization criterion, which is nonrobust with respect to perturbations of the coefficients of the hyperbolic system.

Kmit I. , Natalya Lyul`ko
FINITE TIME STABILIZATION OF NONAUTONOMOUS FIRST-ORDER HYPERBOLIC SYSTEMS
SIAM Journal on Control and Optimization. 2021. V.59. N5. P.3179-3202. DOI: 10.1137/20M1343610 WOS Scopus OpenAlex

Web of science:	WOS:000713005700004
Scopus:	2-s2.0-85115223048
OpenAlex:	W3199596416

БД	Цитирований
Scopus	3
OpenAlex	3
Web of science	1