scholarly journals Time-varying delays in electrophysiological wave propagation along cardiac tissue and minimax control problems associated with uncertain bidomain type models

2019 ◽  
Vol 4 (3) ◽  
pp. 928-983
Author(s):  
Aziz Belmiloudi ◽  
Keyword(s):  
Wave Propagation ◽  
Cardiac Tissue ◽  
Control Problems ◽  
Time Varying ◽  
Minimax Control

scholarly journals Robust Time-Varying Output Formation Control for Swarm Systems with Nonlinear Uncertainties

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Xiaofeng Chai ◽  
Qing Wang ◽  
Yao Yu ◽  
Changyin Sun
Keyword(s):  
Stability Problem ◽  
Formation Control ◽  
Directed Network ◽  
Control Problems ◽  
Time Varying ◽  
Robust Controller ◽  
Nonlinear Uncertainties ◽  
The Stability ◽  
High Order Time ◽  
Time Invariant

Time-varying output formation control problems for high-order time-invariant swarm systems are studied with nonlinear uncertainties and directed network topology in this paper. A robust controller which consists of a nominal controller and a robust compensator is applied to achieve formation control. The nominal controller based on the output feedback is designed to achieve desired time-varying formation properties for the nominal system. And the robust compensator based on the robust signal compensator technology is constructed to restrain nonlinear uncertainties. The time-varying formation problem is transformed into the stability problem. And the formation errors can be arbitrarily small with expected convergence rate. Numerical examples are provided to illustrate the effectiveness of the proposed strategy.

Breakup of spatiotemporal pattern under electromagnetic radiation

2019 ◽  
Vol 33 (16) ◽  
pp. 1950165 ◽  
Author(s):  
Fan Li ◽  
Linwei Guo
Keyword(s):  
Wave Propagation ◽  
Electromagnetic Radiation ◽  
Cardiac Tissue ◽  
Signal Propagation ◽  
Spatiotemporal Pattern ◽  
Quiescent State ◽  
Wave Source ◽  
The Media ◽  
Electrical Activities ◽  
Target Wave

Stable wave propagation is important for heart health, however, the electromagnetic radiation could affect normal signal propagation of heart, even make a sudden cardiac arrest. In this paper, the effect of electromagnetic radiation on the propagation of stable target wave generated by linear feedback control is studied in detail. It is confirmed that there are different transitions of electrical activities in cardiac tissue, which are transitions from target wave to spiral wave, some isolated islands of pattern waves coexisted, broken pattern and even the quiescent state, are generated when the electromagnetic field is imposed on the cardiac tissue in three ways. Furthermore, it is interesting to find there are different real affected regions, in which the electrical activities of nodes are destroyed, when the radiation signal is imposed on the cardiac tissue in different ways. It is also found the kinds of dynamical behaviors in the media are dependent on the real affected region. These results state that electromagnetic radiation could change the electrical activities, even destroy and suppress the wave propagation of wave source, and the ways of electromagnetic radiation imposed on the media are also important.

scholarly journals Electromagnetic wave propagation in spatially homogeneous yet smoothly time-varying dielectric media

2016 ◽  
Vol 178 ◽  
pp. 158-166 ◽  
Author(s):  
Armen G. Hayrapetyan ◽  
Jörg B. Götte ◽  
Karen K. Grigoryan ◽  
Stephan Fritzsche ◽  
Rubik G. Petrosyan
Keyword(s):  
Wave Propagation ◽  
Electromagnetic Wave ◽  
Electromagnetic Wave Propagation ◽  
Time Varying ◽  
Dielectric Media ◽  
Spatially Homogeneous
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