Global stability properties of age-dependent epidemic models with varying rates of recurrence

2015 ◽  
Vol 39 (8) ◽  
pp. 2057-2064 ◽  
Author(s):  
Cruz Vargas-De-León
2017 ◽  
Vol 22 (7) ◽  
pp. 2795-2812 ◽  
Author(s):  
Jinliang Wang ◽  
◽  
Xianning Liu ◽  
Toshikazu Kuniya ◽  
Jingmei Pang ◽  
...  

2019 ◽  
Vol 78 (6) ◽  
pp. 1713-1725
Author(s):  
Michael T. Meehan ◽  
Daniel G. Cocks ◽  
Johannes Müller ◽  
Emma S. McBryde

2017 ◽  
Vol 105 ◽  
pp. 195-207 ◽  
Author(s):  
Yingke Li ◽  
Zhidong Teng ◽  
Cheng Hu ◽  
Qing Ge

1996 ◽  
Vol 99 (1) ◽  
pp. 45-58 ◽  
Author(s):  
A. Rauh ◽  
L. Hannibal ◽  
N.B. Abraham

2016 ◽  
Vol 10 ◽  
pp. 1109-1127
Author(s):  
Kaori Saito ◽  
Toshiyuki Kohno ◽  
Yoshihiro Hamaya

2012 ◽  
Vol 13 (5) ◽  
pp. 2006-2016 ◽  
Author(s):  
Jianquan Li ◽  
Yanni Xiao ◽  
Fengqin Zhang ◽  
Yali Yang

2007 ◽  
Vol 8 (2) ◽  
pp. 333-345
Author(s):  
Qingming Gou ◽  
◽  
Wendi Wang ◽  

2020 ◽  
Vol 2020 ◽  
pp. 1-13 ◽  
Author(s):  
A. Alessandri

We investigate the use of Hamilton-Jacobi approaches for the purpose of state reconstruction of dynamic systems. First, the classical formulation based on the minimization of an estimation functional is analyzed. Second, the structure of the resulting estimator is taken into account to study the global stability properties of the estimation error by relying on the notion of input-to-state stability. A condition based on the satisfaction of a Hamilton-Jacobi inequality is proposed to construct estimators with input-to-state stable dynamics of the estimation error, where the disturbances affecting such dynamics are regarded as input. Third, the so-developed general framework is applied to the special case of high-gain observers for a class of nonlinear systems.


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