Periodicity in an impulsive logistic equation with a distributed delay

2005 ◽  
Vol 70 (4) ◽  
pp. 479-487 ◽  
Author(s):  
Jing Hui ◽  
Lansun Chen
Keyword(s):  
Distributed Delay ◽  
Logistic Equation

BIOLOGICAL DELAY SYSTEMS AND THE MIKHAILOV CRITERION OF STABILITY

2004 ◽  
Vol 12 (01) ◽  
pp. 45-60 ◽  
Author(s):  
URSZULA FORYŚ
Keyword(s):  
Stability Analysis ◽  
Distributed Delay ◽  
Integral Form ◽  
Logistic Equation ◽  
Delay Systems ◽  
Discrete Delay ◽  
Stability Regions ◽  
The Stability ◽  
Delay Logistic Equation

This paper deals with the stability analysis of biological delay systems. The Mikhailov criterion of stability is presented (and proved in the Appendix) for the case of discrete delay and distributed delay (i.e., delay in integral form). This criterion is used to check stability regions for some well-known equations, especially for the delay logistic equation and other equations with one discrete delay which appear in many applications. Some illustrations of the behavior of Mikhailov hodograph are shown.

Disturbance observer–based neural flight control for aircraft with switched time-varying distributed delays

2021 ◽  
pp. 095441002199850
Author(s):  
Dawei Wu ◽  
Jun Zhou ◽  
Hui Ye
Keyword(s):  
Flight Control ◽  
Disturbance Observer ◽  
Distributed Delay ◽  
Unsteady Aerodynamics ◽  
Feedback System ◽  
Functional Method ◽  
System Control ◽  
Time Varying ◽  
Time Varying Delay ◽  
Feedback System Control

In this article, the high angle of attack (AOA) maneuver control problem is studied under multiple disturbances and uncertainties. For the first time, the switched distributed delay is constructed to characterize the unsteady aerodynamics. Based on neural networks (NNs) and hyperbolic tangent function, the disturbance observer technique is extended to the nonstrict-feedback system control. To handle the switching problem, time-delay problem, and nonstrict-feedback problem caused by switched distributed delay terms, the Lyapunov–Krasovskii (LK) functional method and a variable separation method are cleverly combined. The proposed LK function can relax the constraints on time-varying delay. Finally, a disturbance observer–based neural finite-time prescribed performance flight control law is developed to improve the flight performance at high AOA, and its effectiveness has been verified through rigorous theoretical analysis and simulation experiments.

Explicit Stability for a Porous Thermoelastic System with Second Sound and Distributed Delay Term

2021 ◽  
Vol 7 (2) ◽  
Author(s):  
Abdelhak Djebabla ◽  
Abdelbaki Choucha ◽  
Djamel Ouchenane ◽  
Khaled Zennir
Keyword(s):  
Distributed Delay ◽  
Second Sound ◽  
Delay Term
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