Pregled bibliografske jedinice broj: 719304
On the eigenvalue decay of solutions to operator Lyapunov equations
On the eigenvalue decay of solutions to operator Lyapunov equations // Systems & control letters, 73 (2014), 42-47 doi:10.1016/j.sysconle.2014.09.006 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 719304 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On the eigenvalue decay of solutions to operator Lyapunov equations
Autori
Grubišić, Luka ; Kressner, Daniel
Izvornik
Systems & control letters (0167-6911) 73
(2014);
42-47
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Balanced truncation ; Exponential decay ; Lyapunov equation
Sažetak
This paper is concerned with the eigenvalue decay of the solution to operator Lyapunov equations with right-hand sides of finite rank. We show that the k-th (generalized) eigenvalue decays exponentially in -sqrt(k), provided that the involved operator A generates an exponentially stable analytic semigroup, and A is either self-adjoint or diagonalizable with its eigenvalues contained in a strip around the real axis. Numerical experiments with discretizations of 1D and 2D PDE control problems confirm this decay.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Napomena
Rad je sufinanciran i po Sveučilištu u Zagrebu, projekti br. 4.1.2.3. i K2.101.
POVEZANOST RADA
Projekti:
MZOS-037-0372783-2750 - Spektralne dekompozicije - numericke metode i primjene (Drmač, Zlatko, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
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
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
