Truncated Hawkes point process modeling: System theory and system identification

Automatica ◽  
2020 ◽  
Vol 113 ◽  
pp. 108733
Author(s):  
Boris I. Godoy ◽  
Victor Solo ◽  
Syed Ahmed Pasha
Keyword(s):  
System Theory ◽  
System Identification ◽  
Point Process ◽  
Process Modeling

Bayesian Point Process Modeling to Quantify Geographic Regions of Excess Stillbirth Risk

2018 ◽  
Vol 51 (3) ◽  
pp. 381-400 ◽  
Author(s):  
David Zahrieh ◽  
Jacob J. Oleson ◽  
Paul A. Romitti
Keyword(s):  
Point Process ◽  
Process Modeling ◽  
Geographic Regions

Efficient Point-Process Modeling of Spiking Neurons for Neuroprosthesis

2021 ◽  
Author(s):  
Weihan Li ◽  
Cunle Qian ◽  
Yu Qi ◽  
Yiwen Wang ◽  
Yueming Wang ◽  
...  
Keyword(s):  
Point Process ◽  
Process Modeling ◽  
Spiking Neurons ◽  
Efficient Point

scholarly journals The Transfer Function of the SARS-CoV-2 Spread in Different Countries with Stability, Observability, and Controllability Analysis

2021 ◽  
Author(s):  
Jasmina Lozanović Šajić ◽  
Sonja Langthaler ◽  
Sara Stoppacher ◽  
Christian Baumgartner
Keyword(s):  
Differential Equation ◽  
System Theory ◽  
Control System ◽  
System Identification ◽  
Transfer Function ◽  
State Space ◽  
Separate System ◽  
The Stability ◽  
Controllability And Observability

Abstract This paper presents the determination of the transfer function of the spreading pandemic caused by SARS-CoV-2 in different countries. The methodology of system identification, well known in control system theory, based on the number of infected was used. Appropriate hypotheses have been adopted to determine the transfer function of the system. Each country is viewed as a separate system, and comparisons of determined systems are given. The systems are also presented in the state space, the stability of the systems is analysed, and the matrices of controllability and observability are determined. After analysis, it is shown that the spread of the SARS-CoV-2, for each country, can be described with the same order of transfer function and differential equation.

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