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pro vyhledávání: '"Braverman, Elena"'
Buchanan and Lillo both conjectured that oscillatory solutions of the first-order delay differential equation with positive feedback $x^{\prime }(t)=p(t)x(\tau (t))$, $t\geq 0$, where $0\leq p(t)\leq 1$, $0\leq t-\tau (t)\leq 2.75+\ln2,t\in \mathbb{R
Externí odkaz:
http://arxiv.org/abs/2308.06295
Autor:
Braverman, Elena, Rodkina, Alexandra
Applying Prediction-Based Control (PBC) $x_{n+1}=(1-\alpha_n)f(x_n)+\alpha_n x_{n}$ with stochastically perturbed control coefficient $\alpha_n=\alpha+\ell \xi_{n+1}$, $n\in \mathbb N$, where $\xi$ are bounded identically distributed independent rand
Externí odkaz:
http://arxiv.org/abs/2307.00650
We obtain several new comparison results on the distance between zeros and local extrema of solutions for the second order delay differential equation \begin{equation*} x^{\prime \prime }(t)+p(t)x(t-\tau (t))=0,~~t\geq s\text{ }\ \end{equation*} wher
Externí odkaz:
http://arxiv.org/abs/2306.13228
Autor:
Zhang, Kexue, Braverman, Elena
This paper studies the problem of event-triggered impulsive control for discrete-time systems. A novel periodic event-triggering scheme with two tunable parameters is presented to determine the moments of updating impulsive control signals which are
Externí odkaz:
http://arxiv.org/abs/2304.12976
Autor:
Lawson, Jennifer, Braverman, Elena
We consider a logistic differential equation subject to impulsive delayed harvesting, where the deduction information is a function of the population size at the time of one of the previous impulses. A close connection to the dynamics of high-order d
Externí odkaz:
http://arxiv.org/abs/2210.05878
Publikováno v:
Automatica 147 (2023) 110688
This study focuses on event-triggered control of nonlinear discrete-time systems with time delays. Based on a Lyapunov-Krasovskii type input-to-state stability result, we propose a novel event-triggered control algorithm that works as follows. The co
Externí odkaz:
http://arxiv.org/abs/2209.07560
Autor:
Braverman, Elena, Rodkina, Alexandra
We explore stabilization for nonlinear systems of difference equations with modified Target-Oriented Control and a chosen equilibrium as a target, both in deterministic and stochastic settings. The influence of stochastic components in the control pa
Externí odkaz:
http://arxiv.org/abs/2208.09092
Autor:
Berezansky, Leonid, Braverman, Elena
Publikováno v:
Differential and Integral Equations, Vol. 35, Numbers 9-10 (2022), 559-580
New explicit exponential stability conditions are presented for the non-autonomous scalar linear functional differential equation $$ \dot{x}(t)+ \sum_{k=1}^m a_k(t)x(h_k(t))+\int_{g(t)}^t K(t,s) x(s)ds=0, $$ where $h_k(t)\leq t$, $g(t)\leq t$, $a_k(\
Externí odkaz:
http://arxiv.org/abs/2208.09018
Autor:
Braverman, Elena, Rodkina, Alexandra
Publikováno v:
Discrete Contin. Dyn. Syst. Ser. B, Vol. 27 (2022), no. 10, 5419-5446
Pulse stabilization of cycles with Prediction-Based Control including noise and stochastic stabilization of maps with multiple equilibrium points is analyzed for continuous but, generally, non-smooth maps. Sufficient conditions of global stabilizatio
Externí odkaz:
http://arxiv.org/abs/2208.08980
This note studies stability of event-triggered control systems with the event-triggered control algorithm proposed in [1]. We construct a novel Halanay-type inequality, which is used to show that sufficient conditions of the main results in [1] ensur
Externí odkaz:
http://arxiv.org/abs/2207.03566