scholarly journals Forecasting COVID-19 Chile’ second outbreak by a generalized SIR model with constant time delays and a fitted positivity rate

2022 ◽  
Vol 193 ◽  
pp. 1-18
Author(s):  
Patricio Cumsille ◽  
Óscar Rojas-Díaz ◽  
Pablo Moisset de Espanés ◽  
Paula Verdugo-Hernández
Keyword(s):  
Time Delays ◽  
Sir Model ◽  
Constant Time

Controllability of semilinear impulsive control systems with multiple time delays in control

2018 ◽  
Vol 36 (3) ◽  
pp. 869-899 ◽  
Author(s):  
Vijayakumar S Muni ◽  
Raju K George
Keyword(s):  
Control Systems ◽  
Time Delays ◽  
Impulsive Control ◽  
Control Function ◽  
Autonomous Systems ◽  
Sufficient Conditions ◽  
Constant Time ◽  
Multiple Time ◽  
Rank Condition ◽  
Actual System

Abstract In this article, we study the controllability of finite-dimensional dynamical control systems modelled by semilinear impulsive ordinary differential equations with multiple constant time delays in the control function. Initially, we recall a necessary and sufficient condition for the controllability of the corresponding linear system without impulses, with multiple constant time delays in the control function in terms of a matrix rank condition. Then under some sufficient conditions, we show that the actual system is also controllable for certain classes of non-linearities and impulse functions. We employ Schauder fixed-point theorem and Banach contraction mapping principle to establish the results. Our obtained results are applicable for both autonomous and non-autonomous systems. An example is given to illustrate the theoretical results.

STABILITY AND BIFURCATION ANALYSIS OF A STAGE-STRUCTURED SIR MODEL WITH TIME DELAYS

2010 ◽  
Vol 03 (03) ◽  
pp. 337-350
Author(s):  
ZHICHAO JIANG ◽  
CHUNJIANG HE ◽  
GUANGTAO CHENG
Keyword(s):  
Infectious Disease ◽  
Time Delays ◽  
Disease Model ◽  
Sir Model ◽  
Constant Time Delay ◽  
Boundedness Of Solutions ◽  
Infectious Disease Model ◽  
Stability And Bifurcation Analysis ◽  
Two Stages ◽  
Positivity And Boundedness

In this paper, we considered an SIR infectious disease model with two stages, immature and mature, with the time to maturity represented by a constant time delay. We obtain positivity and boundedness of solutions and analyze the equilibria and their stability properties.

Synchronization of Networked Mechanical Systems With Communication Delays and Human Input

2013 ◽  
Vol 135 (4) ◽  
Author(s):  
Yen-Chen Liu ◽  
Nikhil Chopra
Keyword(s):  
Time Delays ◽  
Dynamic Models ◽  
Mechanical Systems ◽  
Constant Time ◽  
Human Operator ◽  
Regular Graphs ◽  
Communication Delays ◽  
Closed Loop System ◽  
Synchronization Errors ◽  
Strongly Connected

The problem of controlling a group of networked mechanical systems to synchronize and follow a common trajectory is studied in this paper. We first address the results for networked mechanical systems to achieve synchronization when the interagent communication graph is balanced and strongly connected with communication delays. Subsequently, a control law is developed to guarantee synchronization and trajectory tracking for networked mechanical systems communicating on regular graphs when there are constant time delays in communication and the interconnection topology is time-varying. The case when a human operator input is introduced in the closed-loop system is also considered. It is demonstrated that a bounded human operator input results in bounded tracking and synchronization errors, even when there are constant time delays in communication. The simulation and experimental results are presented by utilizing the kinematic and dynamic models of PHANToM Omni derived in this paper.

scholarly journals Pointwise observation of the state given by parabolic system with boundary condition involving multiple time delays

2016 ◽  
Vol 26 (2) ◽  
pp. 189-197 ◽  
Author(s):  
Adam Kowalewski
Keyword(s):  
Boundary Condition ◽  
Parabolic System ◽  
Neumann Boundary Condition ◽  
Time Delays ◽  
Sufficient Conditions ◽  
Neumann Boundary ◽  
The State ◽  
Constant Time ◽  
Multiple Time ◽  
Multiple Time Delays

Abstract Various optimization problems for linear parabolic systems with multiple constant time delays are considered. In this paper, we consider an optimal distributed control problem for a linear parabolic system in which multiple constant time delays appear in the Neumann boundary condition. Sufficient conditions for the existence of a unique solution of the parabolic equation with the Neumann boundary condition involving multiple time delays are proved. The time horizon T is fixed. Making use of the Lions scheme [13], necessary and sufficient conditions of optimality for the Neumann problem with the quadratic cost function with pointwise observation of the state and constrained control are derived.

scholarly journals Performance Analysis of Discrete-Time Average Consensus under Uniform Constant Time Delays

2017 ◽  
Vol 50 (1) ◽  
pp. 11725-11730 ◽  
Author(s):  
Chengcheng Zhao ◽  
Jianping He ◽  
Peng Cheng ◽  
Jiming Chen
Keyword(s):  
Performance Analysis ◽  
Discrete Time ◽  
Time Delays ◽  
Constant Time ◽  
Average Consensus ◽  
Time Average

Event-triggered containment control for multi-agent systems with constant time delays

2017 ◽  
Vol 354 (15) ◽  
pp. 6956-6977 ◽  
Author(s):  
Guoying Miao ◽  
Jinde Cao ◽  
Ahmed Alsaedi ◽  
Fuad E. Alsaadi
Keyword(s):  
Time Delays ◽  
Constant Time ◽  
Multi Agent Systems ◽  
Containment Control ◽  
Agent Systems ◽  
Multi Agent ◽  
Event Triggered
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