FINITE TIME STABILIZATION OF NONAUTONOMOUS FIRST-ORDER HYPERBOLIC SYSTEMS Full article
| Journal |
SIAM Journal on Control and Optimization
ISSN: 0363-0129 , E-ISSN: 1095-7138 |
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| Output data | Year: 2021, Volume: 59, Number: 5, Pages: 3179-3202 Pages count : 24 DOI: 10.1137/20M1343610 | ||||||
| Tags | Finite time stabilization; Nonautonomous first-order hyperbolic systems; Reflection boundary conditions; Robustness; Stabilization criteria | ||||||
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Abstract:
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.
Cite:
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
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
Identifiers:
| Web of science: | WOS:000713005700004 |
| Scopus: | 2-s2.0-85115223048 |
| OpenAlex: | W3199596416 |