Results 31 to 40 of about 208 (145)
Lyapunov stability solutions of fractional integrodifferential equations
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 47, Page 2503-2507, 2004., 2004 Lyapunov stability and asymptotic stability conditions for the solutions of the fractional integrodiffrential equations x(α)(t)=f(t,x(t))+∫t0tk(t,s,x(s))ds, 0 < α ≤ 1, with the initial condition x(α−1)(t0) = x0, have been investigated. Our methods are applications of Gronwall′s lemma and Schwartz inequality.
Shaher Momani, Samir Hadid
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ℋ∞ constant gain state feedback stabilization of stochastic hybrid systems with Wiener process
Mathematical Problems in Engineering, Volume 2004, Issue 4, Page 333-345, 2004., 2004 This paper considers the stabilization problem of the class of continuous‐time linear stochastic hybrid systems with Wiener process. The ℋ∞ state feedback stabilization problem is treated. A state feedback controller with constant gain that does not require access to the system mode is designed.
E. K. Boukas, N. F. Al-Muthairi
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Global periodic solutions in a plankton-fish interaction model with toxication delay
Nonlinear Engineering, 2018 In this paper, a plankton-fish interaction model is proposed and analyzed with the help of delay differential equations. Firstly, the elementary dynamical properties of the system in the absence of time delay is discussed.
Sharma Amit
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Effect of Vaccination to COVID-19 Disease Progression and Herd Immunity
Computational and Mathematical Biophysics, 2021 A mathematical model of COVID-19 with a delay-term for the vaccinated compartment is developed. It has parameters accounting for vaccine-induced immunity delay, vaccine effectiveness, vaccination rate, and vaccine-induced immunity duration.
Caga-anan Randy L. +5 more
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Mathematical Problems in Engineering, Volume 2003, Issue 1, Page 25-45, 2003., 2003 We extend the notion of dissipative dynamical systems to formalize the concept of the nonlinear analog of strict positive realness and strict bounded realness. In particular, using exponentially weighted system storage functions with appropriate exponentially weighted supply rates, we introduce the concept of exponential dissipativity.
VijaySekhar Chellaboina +1 more
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Open Mathematics, 2021 The aim of this work is to study the asymptotic stability of the time-changed stochastic delay differential equations (SDDEs) with Markovian switching.
Zhang Xiaozhi +2 more
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Mathematical Problems in Engineering, Volume 2003, Issue 4, Page 137-152, 2003., 2003 This paper deals with the class of uncertain systems with multiple time delays. The stability and stabilizability of this class of systems are considered. Their robustness are also studied when the norm‐bounded uncertainties are considered. Linear matrix inequality (LMIs) delay‐dependent sufficient conditions for both stability and stabilizability and ...
D. Mehdi, E. K. Boukas
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Open Mathematics, 2019 This work is mainly concerned with the exponential stability of time-changed stochastic functional differential equations with Markovian switching. By expanding the time-changed Itô formula and the Razumikhin theorem, we obtain the exponential stability ...
Zhang Xiaozhi, Yuan Chenggui
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On eventual stability of impulsive systems of differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 8, Page 485-494, 2001., 2001 The notions of Lipschitz stability of impulsive systems of differential equations are extended and the notions of eventual stability are introduced. New notions called eventual and eventual Lipschitz stability. We give some criteria and results.
A. A. Soliman
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Almost periodic solution of a discrete competitive system with delays and feedback controls
Open Mathematics, 2019 A discrete nonlinear almost periodic multispecies competitive system with delays and feedback controls is proposed and investigated. We obtain sufficient conditions to ensure the permanence of the system.
Xue Yalong, Xie Xiangdong, Lin Qifa
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