The structure stability of periodic solutions for first-order uncertain dynamical systems

2020 ◽  
Vol 400 ◽  
pp. 134-146 ◽  
Author(s):  
Rui Dai ◽  
Minghao Chen
Keyword(s):  
Dynamical Systems ◽  
Periodic Solutions ◽  
Structure Stability ◽  
First Order ◽  
Uncertain Dynamical Systems

Periodic problems of first order uncertain dynamical systems

2011 ◽  
Vol 162 (1) ◽  
pp. 67-78 ◽  
Author(s):  
Minghao Chen ◽  
Daohua Li ◽  
Xiaoping Xue
Keyword(s):  
Dynamical Systems ◽  
First Order ◽  
Uncertain Dynamical Systems ◽  
Periodic Problems

Circle and Popov Criterion for Output Feedback Stabilization of Uncertain Systems

2006 ◽  
Vol 11 (2) ◽  
pp. 137-148 ◽  
Author(s):  
A. Benabdallah ◽  
M. A. Hammami
Keyword(s):  
Dynamical Systems ◽  
Output Feedback ◽  
Uncertain Systems ◽  
Feedback Stabilization ◽  
Stabilizing Controller ◽  
Nominal System ◽  
Output Feedback Stabilization ◽  
Uncertain Dynamical Systems

In this paper, we address the problem of output feedback stabilization for a class of uncertain dynamical systems. An asymptotically stabilizing controller is proposed under the assumption that the nominal system is absolutely stable.

scholarly journals Two periodic solutions of neutral difference equations modelling physiological processes

2006 ◽  
Vol 2006 ◽  
pp. 1-12 ◽  
Author(s):  
Jun Wu ◽  
Yicheng Liu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Periodic Solutions ◽  
Point Theorem ◽  
Difference Equations ◽  
Neutral Difference Equations ◽  
First Order ◽  
Analysis Techniques ◽  
Physiological Processes

We establish existence, multiplicity, and nonexistence of periodic solutions for a class of first-order neutral difference equations modelling physiological processes and conditions. Our approach is based on a fixed point theorem in cones as well as some analysis techniques.

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