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Pregled bibliografske jedinice broj: 1059577

Lyapunov Type Theorems for Exponential Stability of Linear Skew-Product Three-Parameter Semiflows with Discrete Time


Dragičević, Davor; Preda, Ciprian
Lyapunov Type Theorems for Exponential Stability of Linear Skew-Product Three-Parameter Semiflows with Discrete Time // Axioms, 9 (2020), 2; 47, 12 doi:10.3390/axioms9020047 (međunarodna recenzija, članak, znanstveni)


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Naslov
Lyapunov Type Theorems for Exponential Stability of Linear Skew-Product Three-Parameter Semiflows with Discrete Time

Autori
Dragičević, Davor ; Preda, Ciprian

Izvornik
Axioms (2075-1680) 9 (2020), 2; 47, 12

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

Ključne riječi
exponential stability ; linear skew-product semiflows ; Lyapunov functions

Sažetak
For linear skew-product three-parameter semiflows with discrete time acting on an arbitrary Hilbert space, we obtain a complete characterization of exponential stability in terms of the existence of appropriate Lyapunov functions. As a nontrivial application of our work, we prove that the notion of an exponential stability persists under sufficiently small linear perturbations.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku

Profili:

Avatar Url Davor Dragičević (autor)

Poveznice na cjeloviti tekst rada:

doi www.mdpi.com

Citiraj ovu publikaciju:

Dragičević, Davor; Preda, Ciprian
Lyapunov Type Theorems for Exponential Stability of Linear Skew-Product Three-Parameter Semiflows with Discrete Time // Axioms, 9 (2020), 2; 47, 12 doi:10.3390/axioms9020047 (međunarodna recenzija, članak, znanstveni)
Dragičević, D. & Preda, C. (2020) Lyapunov Type Theorems for Exponential Stability of Linear Skew-Product Three-Parameter Semiflows with Discrete Time. Axioms, 9 (2), 47, 12 doi:10.3390/axioms9020047.
@article{article, author = {Dragi\v{c}evi\'{c}, Davor and Preda, Ciprian}, year = {2020}, pages = {12}, DOI = {10.3390/axioms9020047}, chapter = {47}, keywords = {exponential stability, linear skew-product semiflows, Lyapunov functions}, journal = {Axioms}, doi = {10.3390/axioms9020047}, volume = {9}, number = {2}, issn = {2075-1680}, title = {Lyapunov Type Theorems for Exponential Stability of Linear Skew-Product Three-Parameter Semiflows with Discrete Time}, keyword = {exponential stability, linear skew-product semiflows, Lyapunov functions}, chapternumber = {47} }
@article{article, author = {Dragi\v{c}evi\'{c}, Davor and Preda, Ciprian}, year = {2020}, pages = {12}, DOI = {10.3390/axioms9020047}, chapter = {47}, keywords = {exponential stability, linear skew-product semiflows, Lyapunov functions}, journal = {Axioms}, doi = {10.3390/axioms9020047}, volume = {9}, number = {2}, issn = {2075-1680}, title = {Lyapunov Type Theorems for Exponential Stability of Linear Skew-Product Three-Parameter Semiflows with Discrete Time}, keyword = {exponential stability, linear skew-product semiflows, Lyapunov functions}, chapternumber = {47} }

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Emerging Sources Citation Index (ESCI)
  • Scopus


Citati:





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