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Pregled bibliografske jedinice broj: 872003

Lyapunov type equation for discrete exponential trichotomies


Dragičević, Davor
Lyapunov type equation for discrete exponential trichotomies // Journal of Nonlinear Sciences and Applications, 10 (2017), 4; 2001-2017 doi:10.22436/jnsa.010.04.57 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 872003 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Lyapunov type equation for discrete exponential trichotomies

Autori
Dragičević, Davor

Izvornik
Journal of Nonlinear Sciences and Applications (2008-1898) 10 (2017), 4; 2001-2017

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Exponential trichotomies, robustness, perturbations

Sažetak
For a nonautonomous dynamics obtained by a sequence of linear operators acting on an arbitrary Hilbert space, we give a complete characterization of the notion of a uniform exponential trichotomy in terms of what can be considered to be a discrete version of the Lyapunov equation. We then use this characterization to study the stability of exponential trichotomies under small linear and nonlinear perturbations.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-IP-2014-09-2285 - Geometrijska, ergodička i topološka analiza nisko-dimenzionalnih dinamičkih sustava (GETDYN) (Slijepčević, Siniša, HRZZ - 2014-09) ( CroRIS)

Profili:

Avatar Url Davor Dragičević (autor)

Citiraj ovu publikaciju:

Dragičević, Davor
Lyapunov type equation for discrete exponential trichotomies // Journal of Nonlinear Sciences and Applications, 10 (2017), 4; 2001-2017 doi:10.22436/jnsa.010.04.57 (međunarodna recenzija, članak, znanstveni)
Dragičević, D. (2017) Lyapunov type equation for discrete exponential trichotomies. Journal of Nonlinear Sciences and Applications, 10 (4), 2001-2017 doi:10.22436/jnsa.010.04.57.
@article{article, author = {Dragi\v{c}evi\'{c}, Davor}, year = {2017}, pages = {2001-2017}, DOI = {10.22436/jnsa.010.04.57}, keywords = {Exponential trichotomies, robustness, perturbations}, journal = {Journal of Nonlinear Sciences and Applications}, doi = {10.22436/jnsa.010.04.57}, volume = {10}, number = {4}, issn = {2008-1898}, title = {Lyapunov type equation for discrete exponential trichotomies}, keyword = {Exponential trichotomies, robustness, perturbations} }
@article{article, author = {Dragi\v{c}evi\'{c}, Davor}, year = {2017}, pages = {2001-2017}, DOI = {10.22436/jnsa.010.04.57}, keywords = {Exponential trichotomies, robustness, perturbations}, journal = {Journal of Nonlinear Sciences and Applications}, doi = {10.22436/jnsa.010.04.57}, volume = {10}, number = {4}, issn = {2008-1898}, title = {Lyapunov type equation for discrete exponential trichotomies}, keyword = {Exponential trichotomies, robustness, perturbations} }

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


Citati:





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