Results 51 to 60 of about 9,796 (225)
Nonlinear Volterra difference equations in space lp
Discrete Dynamics in Nature and Society, 2004 We consider a class of vector nonlinear discrete-time Volterra equations in space lp and derive estimates for the norms of solutions. These estimates give us explicit stability conditions, which allow us to avoid finding Lyapunov functionals.
Michael I. Gil', Rigoberto Medina
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A New Slack Lyapunov Functional for Dynamical System with Time Delay
Mathematics, 2022 The traditional method of constructing a Lyapunov functional for dynamical systems with time delay is usually dependent on positive definite matrices in the quadratic form.
Can Zhao +3 more
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Epidemiological Models and Lyapunov Functions [PDF]
Mathematical Modelling of Natural Phenomena, 2007 Summary: We give a survey of results on global stability for deterministic compartmental epidemiological models. Using Lyapunov techniques we revisit a classical result, and give a simple proof. By the same methods we also give a new result on differential susceptibility and infectivity models with mass action and an arbitrary number of compartments ...
A. Fall, A. +3 more
openaire +3 more sources
Asian Journal of Control, EarlyView.Abstract The linear‐quadratic regulator (LQR) problem of optimal control of an uncertain discrete‐time linear system (DTLS) is revisited in this paper from the perspective of Tikhonov regularization. We show that an optimally chosen regularization parameter reduces, compared to the classical LQR, the values of a scalar error function, as well as the ...
Fernando Pazos, Amit Bhaya
wiley +1 more source
Stability Analysis of Linear Time-Varying Delay Systems via a Novel Augmented Variable Approach
MathematicsThis paper investigates the stability issues of time-varying delay systems. Firstly, a novel augmented Lyapunov functional is constructed for a class of bounded time-varying delays by introducing new double integral terms.
Wenqi Liao, Hongbing Zeng, Huichao Lin
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Stability of interconnected impulsive systems with and without time-delays using Lyapunov methods [PDF]
, 2012 In this paper we consider input-to-state stability (ISS) of impulsive control systems with and without time-delays. We prove that if the time-delay system possesses an exponential Lyapunov-Razumikhin function or an exponential Lyapunov-Krasovskii ...
Dashkovskiy, Sergey +3 more
core
On the Lyapunov Matrix of Linear Delay Difference Equations in Continuous Time
, 2016 The fundamental matrix and the delay Lyapunov matrix of linear delay difference equations are introduced. Some properties of the Lyapunov matrix, and the jump discontinuities of its derivative are proven, leading to its construction in the case of single
Di Loreto, Michael +2 more
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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
Boundedness in functional dynamic equations on time scales
Advances in Difference Equations, 2006 Using nonnegative definite Lyapunov functionals, we prove general theorems for the boundedness of all solutions of a functional dynamic equation on time scales.
Raffoul Youssef N, Akin-Bohner Elvan
doaj
Electronic Journal of Qualitative Theory of Differential Equations, 2018 In the work we proposed the model of immunosensor, which is based on the system of lattice differential equations with delay. The conditions of local asymptotic stability for endemic state are gotten.
Vasyl Martsenyuk +2 more
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