Zobrazeno 1 - 10
of 148
pro vyhledávání: '"M. Stamova"'
Autor:
Shair Ahmad, Ivanka M. Stamova
In recent years, there has been a tremendous amount of research activity in the general area of population dynamics, particularly the Lotka-Volterra system, which has been a rich source of mathematical ideas from both theoretical and application poin
Publikováno v:
Electronic Journal of Differential Equations, Vol 2018, Iss 62,, Pp 1-12 (2018)
This article discusses the application of a fractional-like derivative of Lyapunov-type functions in the stability analysis of solutions of perturbed motion equations with a fractional-like derivative of the state vector. The main theorems of the
Externí odkaz:
https://doaj.org/article/375e0cf1fb794f22ad23566964e70681
Autor:
Ivanka M. Stamova, Trayan Stamov
Publikováno v:
Neurocomputing. 424:54-62
In this paper, we consider fractional-order gene regulatory networks. The impulsive effects on their Mittag-Leffler stability properties are investigated and new criteria are proposed. The main results are proved by using the fractional Lyapunov meth
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f283907df40933cf6c1f3a5316600a58
https://doi.org/10.1016/j.neucom.2020.10.112
https://doi.org/10.1016/j.neucom.2020.10.112
Autor:
Gani Tr. Stamov, Ivanka M. Stamova
Publikováno v:
AIMS Mathematics, Vol 6, Iss 3, Pp 2287-2303 (2021)
In this paper we apply an impulsive control method to keep the Mittag-Leffler stability properties for a class of Caputo fractional-order cellular neural networks with mixed bounded and unbounded delays. The impulsive controls are realized at fixed m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::de92c78629650d31b24c8d1c6ed65952
http://www.aimspress.com/article/doi/10.3934/math.2021138?viewType=HTML
http://www.aimspress.com/article/doi/10.3934/math.2021138?viewType=HTML
Autor:
Gani Tr. Stamov, Ivanka M. Stamova
Publikováno v:
Discrete & Continuous Dynamical Systems - S. 14:1429-1446
In this paper, we introduce the notion of stability of sets for reaction-diffusion Cohen–Grossberg neural networks with time-varying delays. The Lyapunov–Razumikhin technique and a comparison principle are adapted to prove the new stability crite
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa870bc31e156e099beb2977152e13f3
https://doi.org/10.3934/dcdss.2020370
https://doi.org/10.3934/dcdss.2020370
Publikováno v:
IEEE Transactions on Cybernetics. 51:151-161
A neural-network model of fractional order with impulsive perturbations, time-varying delays, and reaction-diffusion terms is investigated in this article. The focus is on investigating qualitative properties of the states and developing new almost p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::913772c6376d134df898b17005ee12cb
https://doi.org/10.1109/tcyb.2020.2967625
https://doi.org/10.1109/tcyb.2020.2967625
Publikováno v:
International Journal of Systems Science. 51:643-654
In this paper, a system of impulsive equations with uncertain parameters is considered. A new approach to study qualitative properties of the solutions of such systems via fuzzy impulsive systems o...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2a136ccd7b322d89251fe9e89330e73f
https://doi.org/10.1080/00207721.2020.1737265
https://doi.org/10.1080/00207721.2020.1737265
Autor:
Ivanka M. Stamova, Gani T. Stamov
Publikováno v:
Electronic Journal of Differential Equations, Vol 2008, Iss 48, Pp 1-10 (2008)
In the present paper, we study the global stability of sets of sufficiently general type with respect to impulsive functional differential equations with variable impulsive perturbations. The main results are obtained by means of piecewise continuous
Externí odkaz:
https://doaj.org/article/f5ca5b81d7a6430ab61f5c1399925253
Publikováno v:
Mathematical Methods in the Applied Sciences.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1f9086bd754be1440b718fcf8eaf1aef
https://doi.org/10.1002/mma.7828
https://doi.org/10.1002/mma.7828
Publikováno v:
Nonlinear Analysis: Hybrid Systems. 34:166-178
In this paper, for a family of equations on time scales, a generalization of the direct method of Lyapunov is introduced. Efficient sufficient conditions for various stability types of the sets of trajectories are proposed by means of scalar and vect
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c5280b7876648795d4d3601bc7f24874
https://doi.org/10.1016/j.nahs.2019.06.004
https://doi.org/10.1016/j.nahs.2019.06.004