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Discretization schemes for Lyapunov-Krasovskii functionals in time-delay systems [PDF]
, 2001 summary:This article gives an overview of discretized Lyapunov functional methods for time-delay systems. Quadratic Lyapunov–Krasovskii functionals are discretized by choosing the kernel to be piecewise linear.
Gu, Keqin
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In the present investigation, a mathematical model with vaccination, treatment, and environmental impact under real data is presented. Initially, we present the model without any interventions, followed by an examination of its equilibrium points.
Bashir Al‐Hdaibat +4 more
wiley +1 more source
Lyapunov-Krasovskii functional for discretized homogeneous systems
, 2021 International audienceThe paper is devoted to stability analysis of discrete-time time-delay systems, obtained after explicit Euler discretization of (locally) homogeneous continuous-time models.
Aleksandrov, Alexander, y +2 more
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On Continuation and Convex Lyapunov Functions
IEEE Transactions on Automatic ControlFinal version, 12 pages, to appear in the IEEE Transactions on Automatic ...
Wouter Jongeneel, Roland Schwan
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Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal +2 more
wiley +1 more source
Frequency control strategy for multi-area interconnected power systems with electric vehicles
电力工程技术A sliding mode load-frequency control (LFC) strategy based on an adaptive triggering mechanism is proposed for a multi-area interconnected power system with electric vehicles (EVs).
Yitao QIN +5 more
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T(w)o Patch or Not T(w)o Patch: A Novel Biocontrol Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A number of top‐down biocontrol models have been proposed where the introduced predators' efficacy is enhanced via the provision of additional food (AF). However, if the predator has a pest‐dependent monotone functional response, pest extinction is unattainable. In the current manuscript, we propose a model where a predator with pest‐dependent
Urvashi Verma +2 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
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Open Mathematics, 2019 In this paper, we consider an almost periodic commensal symbiosis model with nonlinear harvesting on time scales. We establish a criterion for the existence and uniformly asymptotic stability of unique positive almost periodic solution of the system. Our
Xue Yalong, Xie Xiangdong, Lin Qifa
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Nonlinear Analysis, 2018 In this typescript, we concerned the problem of delay-dependent approach of impulsive genetic regulatory networks besides the distributed delays, parameter uncertainties and time-varying delays.
Selvakumar Pandiselvi +5 more
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