Comments on “Global stabilization of rigid formations in the plane [Automatica 49 (2013) 1436–1441]”

Automatica ◽  
2017 ◽  
Vol 77 ◽  
pp. 393-396 ◽  
Author(s):  
Minh Hoang Trinh ◽  
Viet Hoang Pham ◽  
Myoung-Chul Park ◽  
Zhiyong Sun ◽  
Brian D.O. Anderson ◽  
...  
Keyword(s):  
Global Stabilization ◽  
Rigid Formations

Global stabilization of rigid formations in the plane

Automatica ◽  
2013 ◽  
Vol 49 (5) ◽  
pp. 1436-1441 ◽  
Author(s):  
Yu-Ping Tian ◽  
Qin Wang
Keyword(s):  
Global Stabilization ◽  
Rigid Formations

Stabilization for a class of delayed switched inertial neural networks via non-reduced order method

2021 ◽  
pp. 014233122098594
Author(s):  
Xuan Chen ◽  
Dongyun Lin
Keyword(s):  
Neural Networks ◽  
Comparative Research ◽  
Lyapunov Functional ◽  
Sufficient Conditions ◽  
Global Stabilization ◽  
Order Method ◽  
Reduced Order ◽  
Global Asymptotic Stabilization ◽  
Inertial Neural Networks ◽  
Barbalat Lemma

This paper tackles the issue of global stabilization for a class of delayed switched inertial neural networks (SINN). Distinct from the frequently employed reduced-order technique, this paper studies SINN directly through non-reduced order method. By constructing a novel Lyapunov functional and using Barbalat Lemma, sufficient conditions for the global asymptotic stabilization issue and global exponential stabilization issue of the considered SINN are established. Numerical simulations further confirm the feasibility of the main results. The comparative research shows that global stabilization results of this paper complement and improve some existing work.

scholarly journals Hybrid control of the boost converter: Robust global stabilization

2013 ◽  
Author(s):  
Thomas A. F. Theunisse ◽  
Jun Chai ◽  
Ricardo G. Sanfelice ◽  
W. P. Maurice H. Heemels
Keyword(s):  
Hybrid Control ◽  
Boost Converter ◽  
Global Stabilization

CONTROLLING THE UNCERTAIN MULTI-SCROLL CRITICAL CHAOTIC SYSTEM WITH INPUT NONLINEAR USING SLIDING MODE CONTROL

2009 ◽  
Vol 23 (16) ◽  
pp. 2021-2034 ◽  
Author(s):  
XINGYUAN WANG ◽  
DA LIN ◽  
ZHANJIE WANG
Keyword(s):  
Chaotic System ◽  
Sliding Mode ◽  
Equilibrium Points ◽  
Dead Zone ◽  
Variable Structure ◽  
Sliding Mode Controller ◽  
Global Stabilization ◽  
Structure Control ◽  
Control Scheme ◽  
Simulation Results

In this paper, control of the uncertain multi-scroll critical chaotic system is studied. According to variable structure control theory, we design the sliding mode controller of the uncertain multi-scroll critical chaotic system, which contains sector nonlinearity and dead zone inputs. For an arbitrarily given equilibrium point of the uncertain multi-scroll chaotic system, we achieve global stabilization for the equilibrium points. Particularly, a class of proportional integral (PI) switching surface is introduced for determining the convergence rate. Furthermore, the proposed control scheme can be extended to complex multi-scroll networks. Finally, simulation results are presented to demonstrate the effectiveness of the proposed control scheme.

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