Global stabilization of rigid formations in the plane

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.

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Global stabilization of switched nonlinear systems with vanishing control vector fields and its application

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.5534 ◽

2021 ◽

Author(s):

Jing Xie ◽

Dong Yang

Keyword(s):

Nonlinear Systems ◽

Vector Fields ◽

Global Stabilization ◽

Switched Nonlinear Systems ◽

Control Vector

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Semi-global stabilization with guaranteed regional performance of linear systems subject to actuator saturation

Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334) ◽

10.1109/acc.2000.877051 ◽

2000 ◽

Cited By ~ 3

Author(s):

T. Hu ◽

Z. Lin ◽

Y. Shamash

Keyword(s):

Linear Systems ◽

Actuator Saturation ◽

Global Stabilization ◽

Regional Performance

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Hybrid control of the boost converter: Robust global stabilization

52nd IEEE Conference on Decision and Control ◽

10.1109/cdc.2013.6760442 ◽

2013 ◽

Cited By ~ 4

Author(s):

Thomas A. F. Theunisse ◽

Jun Chai ◽

Ricardo G. Sanfelice ◽

W. P. Maurice H. Heemels

Keyword(s):

Hybrid Control ◽

Boost Converter ◽

Global Stabilization

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

Modern Physics Letters B ◽

10.1142/s0217984909020187 ◽

2009 ◽

Vol 23 (16) ◽

pp. 2021-2034 ◽

Cited By ~ 10

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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