On the Stability of Pointer States Using Lyapunov Theory* *Ram Somaraju and Hugo Thienpont would like to thank Methusalem project IPARC@VUB for financial support as well as the BELSPO IAP project Photonics@BE. The work of Ian Petersen is supported by the Australian Research Council.

2012 ◽  
Vol 45 (19) ◽  
pp. 214-219
Author(s):  
Ram Somaraju ◽  
Ian R. Petersen ◽  
Hugo Thienpont
Keyword(s):  
Financial Support ◽  
Research Council ◽  
Lyapunov Theory ◽  
Australian Research Council ◽  
Pointer States ◽  
The Stability

Chaos Anti-Synchronization between Chen System and Lu System

2014 ◽  
Vol 631-632 ◽  
pp. 710-713 ◽  
Author(s):  
Xian Yong Wu ◽  
Hao Wu ◽  
Hao Gong
Keyword(s):  
Chaotic Systems ◽  
Sufficient Conditions ◽  
Lyapunov Theory ◽  
State Variables ◽  
Chen System ◽  
System Parameters ◽  
Control Scheme ◽  
Error Dynamics ◽  
The Stability ◽  
Different Chaotic Systems

Anti-synchronization of two different chaotic systems is investigated. On the basis of Lyapunov theory, adaptive control scheme is proposed when system parameters are unknown, sufficient conditions for the stability of the error dynamics are derived, where the controllers are designed using the sum of the state variables in chaotic systems. Numerical simulations are performed for the Chen and Lu systems to demonstrate the effectiveness of the proposed control strategy.

scholarly journals The Australian Research Council Longevity Intervention (ARCLI) study protocol (ANZCTR12611000487910) addendum: neuroimaging and gut microbiota protocol

2019 ◽  
Vol 18 (1) ◽  
Author(s):  
Tamara Simpson ◽  
Saurenne Deleuil ◽  
Nicole Echeverria ◽  
Mrudhula Komanduri ◽  
Helen Macpherson ◽  
...  
Keyword(s):  
Gut Microbiota ◽  
Study Protocol ◽  
Research Council ◽  
Australian Research Council

scholarly journals Wandel Sea Basin: basin analysis – a summary

1995 ◽  
Vol 165 ◽  
pp. 42-48
Author(s):  
E Håkansson ◽  
L Stemmerik
Keyword(s):  
Financial Support ◽  
Research Council ◽  
Science Research ◽  
Field Work ◽  
Geological Mapping ◽  
Basin Analysis ◽  
Geological Survey ◽  
Natural Science Research Council ◽  
Field Season ◽  
North Greenland

In 1991 a three year research project was initiated by the Geological Institute, University of Copenhagen with financial support from the Ministry of Energy, the Danish Natural Science Research Council and the Carlsberg Foundation. The 'Wandel Sea Basin: basin analysis' project was carried out in collaboration with the Geological Survey of Greenland and included field work in North Greenland; in eastern Peary Land in 1991 and Amdrup Land in 1993 (Fig. 1; Hakansson et al., 1994). The project is a continuation of earlier investigations in the Wandel Sea Basin carried out during geological mapping of North Greenland by the Geological Survey of Greenland in 1978–1980 and during later expeditions to the area (e.g. Hakansson, 1979; Hakansson et al., 1981, 1989, 1991, 1994). Hydrocarbon related studies of the Wandel Sea Basin were continued during the 1994 field season (Stemmerik et al., this report).

scholarly journals New time delay estimation-based virtual decomposition control for n-DoF robot manipulator

2021 ◽  
Vol 10 (3) ◽  
pp. 192
Author(s):  
Hachmia Faqihi ◽  
Khalid Benjelloun ◽  
Maarouf Saad ◽  
Mohammed Benbrahim ◽  
M. Nabil Kabbaj
Keyword(s):  
Time Delay ◽  
Dynamic Model ◽  
Control Strategy ◽  
Robot Manipulator ◽  
Time Delay Estimation ◽  
Lyapunov Theory ◽  
Degree Of Freedom ◽  
Delay Estimation ◽  
The Stability

<p>One of the most efficient approaches to control a multiple degree-of-freedom robot manipulator is the virtual decomposition control (VDC). However, the use of the re- gressor technique in the conventionnal VDC to estimate the unknown and uncertaities parameters present some limitations. In this paper, a new control strategy of n-DoF robot manipulator, refering to reorganizing the equation of the VDC using the time delay estimation (TDE) have been investigated. In the proposed controller, the VDC equations are rearranged using the TDE for unknown dynamic estimations. Hence, the decoupling dynamic model for the manipulator is established. The stability of the overall system is proved based on Lyapunov theory. The effectiveness of the proposed controller is proved via case study performed on 7-DoF robot manipulator and com- pared to the conventionnal Regressor-based VDC according to some evalution criteria. The results carry out the validity and efficiency of the proposed time delay estimation- based virtual decomposition controller (TD-VDC) approach.</p>

Fault Control for a Class of Nonlinear System with Input Delay

2012 ◽  
Vol 482-484 ◽  
pp. 1801-1804
Author(s):  
Yang Yu ◽  
Wei Wang
Keyword(s):  
Control System ◽  
Nonlinear System ◽  
State Feedback ◽  
Fuzzy Model ◽  
Lyapunov Theory ◽  
Feedback Controller ◽  
Input Delay ◽  
State Feedback Controller ◽  
The Stability ◽  
Delay Dependent

The paper studies fuzzy fault control for a class of nonlinear system with input delay based on T-S fuzzy model. The state feedback controller that ensures the stability of fuzzy tolerant control system is given via Lyapunov theory and derived in terms of LMI and the results are delay-dependent. Simulation examples are given to illustrate the effectiveness of the approach.

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