Stochastic stability of a class of nonlinear systems with randomly varying time-delay

2000 ◽  
Author(s):  
I. Kolmanovsky ◽  
T.L. Maizenberg
Keyword(s):  
Time Delay ◽  
Nonlinear Systems ◽  
Stochastic Stability ◽  
Varying Time Delay

scholarly journals Global Practical Tracking by Output Feedback for Nonlinear Systems with Unknown Growth Rate and Time Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Xuehua Yan ◽  
Xinmin Song
Keyword(s):  
Time Delay ◽  
Nonlinear Systems ◽  
Output Feedback ◽  
Dead Zone ◽  
Tracking Error ◽  
Time Varying ◽  
Nonlinear Growth ◽  
Varying Time Delay ◽  
Dependent Growth ◽  
Feedback Tracking

This paper is the further investigation of work of Yan and Liu, 2011, and considers the global practical tracking problem by output feedback for a class of uncertain nonlinear systems with not only unmeasured states dependent growth but also time-varying time delay. Compared with the closely related works, the remarkableness of the paper is that the time-varying time delay and unmeasurable states are permitted in the system nonlinear growth. Motivated by the related tracking results and flexibly using the ideas and techniques of universal control and dead zone, an adaptive output-feedback tracking controller is explicitly designed with the help of a new Lyapunov-Krasovskii functional, to make the tracking error prescribed arbitrarily small after a finite time while keeping all the closed-loop signals bounded. A numerical example demonstrates the effectiveness of the results.

Sampled-data control of a class of time-delay nonlinear systems via memoryless feedback

2021 ◽  
Vol 157 ◽  
pp. 105048
Author(s):  
Xueliang Liu ◽  
Wei Lin ◽  
Congran Zhao ◽  
Yaohua Hu
Keyword(s):  
Time Delay ◽  
Nonlinear Systems ◽  
Sampled Data ◽  
Data Control ◽  
Sampled Data Control
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