Results 101 to 110 of about 3,398,797 (221)

Global dynamics of an epidemiological model with age of infection and disease relapse

Journal of Biological Dynamics, 2018
In this paper, an epidemiological model with age of infection and disease relapse is investigated. The basic reproduction number for the model is identified, and it is shown to be a sharp threshold to completely determine the global dynamics of the model.
Rui Xu
doaj   +1 more source

Local Hypoellipticity by Lyapunov Function

Abstract and Applied Analysis, 2016
We treat the local hypoellipticity, in the first degree, for a class of abstract differential operators complexes; the ones are given by the following differential operators:Lj=∂/∂tj+(∂ϕ/∂tj)(t,A)A,j=1,2,…,n, whereA:D(A)⊂H→His a self-adjoint linear operator, positive with0∈ρ(A), in a Hilbert spaceH, andϕ=ϕ(t,A)is a series of nonnegative powers ofA ...
openaire   +4 more sources

Grothendieck and ℓ∞$\ell _\infty$‐Grothendieck Subspaces of ℓ∞$\ell _\infty$

Mathematische Nachrichten, Volume 299, Issue 11, Page 3574-3581, November 2026.
ABSTRACT Let c=2ℵ0$\mathfrak {c}=2^{\aleph _0}$. We prove that ℓ∞$\ell _\infty$ contains 2c$2^{\mathfrak {c}}$ pairwise non‐isomorphic non‐reflexive Grothendieck subspaces. They may all be chosen to contain the canonical copy of c0$c_0$ and to have an infinite‐dimensional reflexive quotient. This is optimal and answers Problem 24 of González and Kania [
Manuel González, Tomasz Kania
wiley   +1 more source

Stabilization and control of unstable discrete linear delay systems using pole-placement and Lyapunov-Krasovskii Functional Methods

مجلة جامعة الزيتونة
Stabilizing and controlling unstable discrete linear delay systems present significant challenges, primarily due to the destabilizing effects of time delays.
Abdunaser Abdusamad, Farag Mousa
doaj  

Theoretical and numerical results for an age-structured SIVS model with a general nonlinear incidence rate

Journal of Biological Dynamics, 2018
In this paper, we propose an SIVS epidemic model with continuous age structures in both infected and vaccinated classes and with a general nonlinear incidence.
Junyuan Yang, Yuming Chen
doaj   +1 more source

Global dynamics of a tuberculosis model with fast and slow progression and age-dependent latency and infection

Journal of Biological Dynamics, 2019
In this paper, a mathematical model describing tuberculosis transmission with fast and slow progression and age-dependent latency and infection is investigated.
Rui Xu, Junyuan Yang, Xiaohong Tian, Jiazhe Lin   +3 more
doaj   +1 more source

Flexible control Lyapunov functions

2009 American Control Conference, 2009
A central tool in systems theory for synthesizing control laws that achieve stability are control Lyapunov functions (CLFs). Classically, a CLF enforces that the resulting closed-loop state trajectory is contained within a cone with a fixed, predefined shape, and which is centered at and converges to a desired converging point.
openaire   +3 more sources

Improved Sampled-Data Asynchronous Control for T-S Fuzzy Systems by Fuzzy Line Integral and Looped Functional

IEEE Access
The sampled-data asynchronous control problem for T-S fuzzy systems is investigated in this paper. Firstly, a new fuzzy Lyapunov functional that contains the fuzzy line integral function and an improved looped functional is constructed, in which two new ...
Zongming Yin, Weihua Zhang
doaj   +1 more source

Global exponential stability of positive periodic solution of the n-species impulsive Gilpin–Ayala competition model with discrete and distributed time delays

Journal of Biological Dynamics, 2018
In this paper, we study the n-species impulsive Gilpin–Ayala competition model with discrete and distributed time delays. The existence of positive periodic solution is proved by employing the fixed point theorem on cones.
Kaihong Zhao
doaj   +1 more source

Lyapunov functional for a system with k-non-commensurate neutral time delays [PDF]

, 2010
The paper presents a method of determining the Lyapunov quadratic functional for linear time-invariant system with k-non-commensurate neutral type time delays.
Duda, J.
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