On the practical stability with respect to h-manifolds of hybrid Kolmogorov systems with variable impulsive perturbations

2020 ◽  
Vol 201 ◽  
pp. 111775 ◽  
Author(s):  
Ivanka M. Stamova ◽  
Gani Tr. Stamov
Keyword(s):  
Practical Stability ◽  
Impulsive Perturbations

scholarly journals Practical Stability with Respect to h-Manifolds for Impulsive Control Functional Differential Equations with Variable Impulsive Perturbations

Mathematics ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 656 ◽  
Author(s):  
Gani Stamov ◽  
Ivanka Stamova ◽  
Xiaodi Li ◽  
Ekaterina Gospodinova
Keyword(s):  
Differential Equations ◽  
Impulsive Control ◽  
Functional Differential Equations ◽  
Cellular Neural Network ◽  
Continuous Functions ◽  
Practical Stability ◽  
Piecewise Continuous ◽  
Impulsive Perturbations ◽  
Functional Differential ◽  
Control Functional

The present paper is devoted to the problems of practical stability with respect to h-manifolds for impulsive control differential equations with variable impulsive perturbations. We will consider these problems in light of the Lyapunov–Razumikhin method of piecewise continuous functions. The new results are applied to an impulsive control cellular neural network model with variable impulsive perturbations.

On the Practical Stability of Incorporating Integral Compensation Into the Low-and-High Gain Control for a Class of Systems With Norm-Type Input Saturation

2008 ◽  
Vol 130 (3) ◽  
Author(s):  
Shou-Tao Peng
Keyword(s):  
Input Saturation ◽  
Gain Control ◽  
High Gain ◽  
Output Regulation ◽  
Practical Stability ◽  
Design Parameters ◽  
Linear Matrix ◽  
Control Input ◽  
Chattering Effect ◽  
Practical Stabilization

This paper studies the practical stability of incorporating integral compensation into the original low-and-high gain feedback law. The motivation for the incorporation is for achieving output regulation in the presence of constant disturbances without the use of a very large high-gain parameter required in the original approach. Due to numerical accuracy, the employment of very large high-gain parameters to eliminate steady-state error has the potential for inducing undesirable chattering effect on the control signal. A set of linear matrix inequalities is formulated in this study to obtain the related design parameters, by which the incorporation can achieve both the practical stabilization and asymptotic output regulation in the presence of input saturation and constant disturbances. Furthermore, the saturation of the control input can be shown to vanish in finite time during the process of regulation. Numerical examples are given to demonstrate the effectiveness of the proposed approach.

Practical Stability of Nonlinear Time-Varying Delay Systems

1997 ◽  
Vol 30 (6) ◽  
pp. 883-888
Author(s):  
A. Goubet-Bartholoméüs ◽  
M. Dambrine ◽  
J.-P. Richard
Keyword(s):  
Practical Stability ◽  
Delay Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Varying Delay

Discussion on: ``Practical Stability of Time-Delay Systems: LMI's Approach"

2011 ◽  
Vol 17 (2) ◽  
pp. 142-144
Author(s):  
Wen Xie ◽  
Yuanqing Xia ◽  
Xiaolei Bian ◽  
Zhihong Deng
Keyword(s):  
Time Delay ◽  
Practical Stability ◽  
Delay Systems ◽  
Time Delay Systems
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