Robust absolute stability for general neutral type Lurie indirect control systems

2008 ◽  
Vol 10 (6) ◽  
pp. 698-707 ◽  
Author(s):  
Jinfeng Gao ◽  
Hongye Su ◽  
Xiaofu Ji ◽  
Jian Chu
Keyword(s):  
Control Systems ◽  
Absolute Stability ◽  
Neutral Type ◽  
Indirect Control ◽  
Lurie Indirect Control Systems

scholarly journals Stabilization of neutral-type indirect control systems to absolute stability state

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Andriy Shatyrko ◽  
Ronald RP van Nooijen ◽  
Alla Kolechkina ◽  
Denys Khusainov
Keyword(s):  
Control Systems ◽  
Absolute Stability ◽  
Neutral Type ◽  
Indirect Control

Delayed-Decomposition Approach for Absolute Stability of Neutral-Type Lurie Control Systems With Time-Varying Delays

2015 ◽  
Vol 137 (8) ◽  
Author(s):  
Pin-Lin Liu
Keyword(s):  
Control Systems ◽  
Lyapunov Functional ◽  
Absolute Stability ◽  
Neutral Type ◽  
Upper Bounds ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequalities ◽  
Decomposition Approach ◽  
Delay Dependent

The problem of absolute stability for a class of neutral-type Lurie control system with nonlinearity located in an infinite sector and in a finite one is investigated in this paper. Based on the delayed-decomposition approach (DDA), a new augmented Lyapunov functional is constructed and the delay dependent conditions for asymptotic stability are derived by applying an integral inequality approach (IIA) in terms of linear matrix inequalities (LMIs). Finally, numerical examples are provided to show that the proposed results significantly improve the allowed upper bounds of the delay size over some existing ones in the literature.

scholarly journals On the Interval Stability of Weak-Nonlinear Control Systems with Aftereffect

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Andriy Shatyrko ◽  
Denys Khusainov
Keyword(s):  
Differential Equations ◽  
Nonlinear Control ◽  
Control Systems ◽  
Absolute Stability ◽  
Neutral Type ◽  
Sufficient Conditions ◽  
Functional Method ◽  
Nonlinear Control Systems ◽  
Delay Argument ◽  
Equations With Delay

Sufficient conditions of interval absolute stability of nonlinear control systems described in terms of systems of the ordinary differential equations with delay argument and also neutral type are obtained. The Lyapunov-Krasovskii functional method in the form of the sum of a quadratic component and integrals from nonlinearity is used at construction of statements.

On the absolute stability of a class of indirect control systems

2000 ◽  
Vol 21 (7) ◽  
pp. 809-818
Author(s):  
Zhao Hongyong ◽  
Teng Zhidong
Keyword(s):  
Control Systems ◽  
Absolute Stability ◽  
Indirect Control ◽  
The Absolute
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