Global stabilization problem

2021 ◽  
pp. 257-285
Author(s):  
Vladimir A. Bushenkov ◽  
Georgi V. Smirnov
Keyword(s):  
Global Stabilization ◽  
Stabilization Problem

The Stabilization Problem for Certain Class of Ecological Systems

1997 ◽  
Vol 07 (02) ◽  
pp. 247-251
Author(s):  
A. N. Kirillov
Keyword(s):  
Dynamical Systems ◽  
Ecological Systems ◽  
Constructive Method ◽  
Global Stabilization ◽  
Stabilization Problem ◽  
Piecewise Constant ◽  
New Class ◽  
Constant Control ◽  
Phase Coordinates ◽  
Piecewise Constant Control

The stabilization problem for dynamical systems is to find control providing stability of some sets in phase space. This problem is not solved in general for nonlinear systems. The ecological systems are nonlinear, as usual, with restrictions on phase coordinates and controls. In this paper we consider piecewise constant control stabilization. Some general results are obtained. A new class of population dynamical systems is introduced, for which the constructive method of global stabilization and controllability is given. The set of attraction is found.

Cooperative Output Regulation for a Class of Nonlinear Uncertain Multi-Agent Systems Using the Backstepping Method

2014 ◽  
Vol 721 ◽  
pp. 238-243
Author(s):  
Ding Cai Huang ◽  
Xiang Ke Wang ◽  
Yi Feng Niu
Keyword(s):  
Design Method ◽  
Output Regulation ◽  
Global Stabilization ◽  
Stabilization Problem ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Augmented System ◽  
Multi Agent ◽  
Cooperative Output Regulation ◽  
Output Regulation Problem

The cooperative output regulation problem for a class of nonlinear uncertain multi-agent systems is considered. Based on the distributed internal model, the problem is firstly transformed into a global stabilization problem of the augmented system. Then, using the backstepping design method, a distributed control law with its stability analysis is proposed to solve the global stabilization problem of the augmented system. Finally, a numerical simulation is made to show the efficacy of the analytic results.

Global Stabilization of Nonlinear Control Systems

2014 ◽  
Vol 543-547 ◽  
pp. 1447-1452
Author(s):  
Yun Xia Wang
Keyword(s):  
Feedback Control ◽  
Control Systems ◽  
Lyapunov Method ◽  
Sufficient Conditions ◽  
Nonlinear Control Systems ◽  
Control Law ◽  
Global Stabilization ◽  
Stabilization Problem ◽  
Global System ◽  
Nonlinear Stabilization

This article discusses the global stabilization problem of nonlinear systems, based on the Lyapunov method. First discussed the situation of a class of two order nonlinear stabilization, sufficient conditions for global stabilization of the system. Secondly, we study the global stabilization of a class of three order nonlinear, got a new conclusion stabilization of the global system, and design a feedback control law of the system stabilization, at the end of this article of the global nonlinear system of general types of stabilization problem, we obtain sufficient conditions for stabilization of the system, and design the feedback control law is the system stabilization.

On the Safe Stabilization Problem

1997 ◽  
Vol 29 (4-5) ◽  
pp. 31-40 ◽  
Author(s):  
Fikret Akhmed Ali Ogly Aliev ◽  
N. I. Velieva ◽  
Vladimir B. Larin
Keyword(s):  
Stabilization Problem

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.

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