Sampled-Data Filtering Framework for Cardiac Motion Recovery: Optimal Estimation of Continuous Dynamics From Discrete Measurements

2007 ◽  
Vol 54 (10) ◽  
pp. 1750-1761 ◽  
Author(s):  
Shan Tong ◽  
Pengcheng Shi
2014 ◽  
Vol 62 (18) ◽  
pp. 4839-4846 ◽  
Author(s):  
Matheus Souza ◽  
Andre R. Fioravanti ◽  
Jose C. Geromel

Author(s):  
Jinnan Luo ◽  
Xinzhi Liu ◽  
Wenhong Tian ◽  
Shouming Zhong ◽  
Kaibo Shi

2002 ◽  
Vol 8 (4-5) ◽  
pp. 367-387 ◽  
Author(s):  
Y. Orlov

The paper is intended to be of tutorial value for Schwartz' distributions theory in nonlinear setting. Mathematical models are presented for nonlinear systems which admit both standard and impulsive inputs. These models are governed by differential equations in distributions whose meaning is generalized to involve nonlinear, non single-valued operating over distributions. The set of generalized solutions of these differential equations is defined via closure, in a certain topology, of the set of the conventional solutions corresponding to standard integrable inputs. The theory is exemplified by mechanical systems with impulsive phenomena, optimal impulsive feedback synthesis, sampled-data filtering of stochastic and deterministic dynamic systems.


2013 ◽  
Vol 35 (7) ◽  
pp. 958-968 ◽  
Author(s):  
Huisi Wu ◽  
Pheng-Ann Heng ◽  
Tien-Tsin Wong

2009 ◽  
Vol 13 (2) ◽  
pp. 226-235 ◽  
Author(s):  
A.D. Gilliam ◽  
F.H. Epstein ◽  
S.T. Acton

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