Pregled bibliografske jedinice broj: 1127584
Greedy Algorithm for Parameter Dependent Operator Lyapunov Equations
Greedy Algorithm for Parameter Dependent Operator Lyapunov Equations // Systems & control letters, 154 (2021), August 2021; 104968, 11 doi:10.1016/j.sysconle.2021.104968 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1127584 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Greedy Algorithm for Parameter Dependent Operator
Lyapunov
Equations
Autori
Lazar, Martin ; Weston, Jerome
Izvornik
Systems & control letters (0167-6911) 154
(2021), August 2021;
104968, 11
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Greedy methods ; Lyapunov operator ; PDE control ; Infinitedimensional setting
Sažetak
The aim of this paper is to provide an ecient method for solving a family of parameter dependent, algebraic Lyapunov equations in an in nite dimensional setting. Our analysis is based on previous work on reduced modeling and (weak) greedy algorithms for parameter dependent PDEs and abstract equations in Banach spaces. The major contribution is threefold. Firstly, the problem is resolved in an in nite dimensional setting, thus enabling applications to PDEs and equations governed by unbounded operators. Secondly, we demonstrate the boundedness and coercive properties of the Lyapunov operator in appropriate functional spaces. Lastly, the method is applied to the control theory, enabling rapid construction of approximate control functions for a wide range of control problems.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2016-06-2468 - Upravljanje dinamičkim sustavima (ConDyS) (Lazar, Martin, HRZZ ) ( CroRIS)
Ustanove:
Sveučilište u Dubrovniku
Profili:
Martin Lazar
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
