Adaptive output feedback for hyperbolic PDE pairs with non-local coupling

2017 ◽  
Author(s):  
Huan Yu ◽  
Rafael Vazquez ◽  
Miroslav Krstic
Keyword(s):  
Output Feedback ◽  
Hyperbolic Pde ◽  
Non Local ◽  
Local Coupling

scholarly journals Chimera states and the interplay between initial conditions and non-local coupling

2017 ◽  
Vol 27 (3) ◽  
pp. 033110 ◽  
Author(s):  
Peter Kalle ◽  
Jakub Sawicki ◽  
Anna Zakharova ◽  
Eckehard Schöll
Keyword(s):  
Initial Conditions ◽  
Chimera States ◽  
Non Local ◽  
Local Coupling

Boundary output feedback stabilization of transport equation with non-local term

2019 ◽  
Vol 37 (3) ◽  
pp. 752-764
Author(s):  
Liping Wang ◽  
Feng-Fei Jin
Keyword(s):  
Transport Equation ◽  
Output Feedback ◽  
Closed Loop ◽  
Feedback Stabilization ◽  
Feedback Controller ◽  
Closed Loop System ◽  
Output Feedback Stabilization ◽  
Exponentially Stable ◽  
Non Local ◽  
Local Term

Abstract In this paper, we are concerned with boundary output feedback stabilization of a transport equation with non-local term. First, a boundary state feedback controller is designed by a backstepping approach. The closed-loop system is proved to be exponentially stable by the equivalence between original and target system. Then, we design an output feedback controller based on an infinite-dimensional observer. It is shown that the result closed-loop system is also exponentially stable. Finally, some numerical examples are presented to illustrate the effectiveness of the proposed feedback controller.

Non-Local Coupling and Partial Synchronization in Chaotic Systems

2006 ◽  
Vol 23 (4) ◽  
pp. 786-789 ◽  
Author(s):  
Ao Bin ◽  
Ma Xiao-Juan ◽  
Li Yun-Yun ◽  
Zheng Zhi-Gang
Keyword(s):  
Chaotic Systems ◽  
Partial Synchronization ◽  
Non Local ◽  
Local Coupling

scholarly journals Non-local coupling of two donor-bound electrons

2013 ◽  
Vol 15 (3) ◽  
pp. 033020 ◽  
Author(s):  
J Verduijn ◽  
R R Agundez ◽  
M Blaauboer ◽  
S Rogge
Keyword(s):  
Non Local ◽  
Local Coupling ◽  
Bound Electrons

scholarly journals Investigation of DNA Breather Dynamics in A Model with Non-Local Inter-Site Interaction

2020 ◽  
Vol 15 (1) ◽  
pp. 93-105
Author(s):  
E.I. Geraskin ◽  
V.D. Lakhno ◽  
A.P. Chetverikov ◽  
A.S. Shigaev
Keyword(s):  
Stacking Interactions ◽  
Base Pairs ◽  
Non Local ◽  
Local Coupling ◽  
Nonlocal Nature

A variant of the Peyrard-Bishop-Dauxois model is proposed, which takes account of the partially delocalized nature of DNA stacking interactions. It is shown that the nonlocal nature of the inter-site potential can lead to an increase in the local cooperativity of the base pairs' opening an increasing in the number of simultaneously opening adjacent nucleotide pairs during the denaturation bubble's nucleation. The process of the formation and propagation of mobile breathers excited by the initial displacements of a number of nucleotide pairs has been studied. It is revealed that taking account of the non-local coupling in the Peyrard-Bishop-Dauxois model, while maintaining the remaining parameters of the model, leads to a decrease in the speed of the mobile breather and an increase in the probability of nucleation of the denaturation bubble.

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