scholarly journals Sufficient Controllability Condition for Multidimensional Affine Systems

2014 ◽  
Vol 14 (11) ◽  
Author(s):  
Dmitri Fetisov
Keyword(s):  
Affine Systems ◽  
Multidimensional Affine

Terminal problem for multidimensional affine systems

2013 ◽  
Vol 88 (2) ◽  
pp. 608-612 ◽  
Author(s):  
A. P. Krishchenko ◽  
D. A. Fetisov
Keyword(s):  
Affine Systems ◽  
Multidimensional Affine

Reachability of Affine Systems on Polytopes

2010 ◽  
Vol 35 (12) ◽  
pp. 1528-1533
Author(s):  
Min WU ◽  
Gang-Feng YAN ◽  
Zhi-Yun LIN
Keyword(s):  
Affine Systems

scholarly journals Robust Stabilization of Control Affine Systems with Homogeneous Functions

2020 ◽  
Vol 53 (2) ◽  
pp. 6311-6316
Author(s):  
Konstantin Zimenko ◽  
Andrey Polyakov ◽  
Denis Efimov
Keyword(s):  
Robust Stabilization ◽  
Affine Systems ◽  
Homogeneous Functions

scholarly journals Fixed-Time Control for a Class of Unknown Nonlinear Affine Systems and Its applications to a Lithography Machine

2020 ◽  
Vol 53 (2) ◽  
pp. 1702-1708
Author(s):  
Kehan Luo ◽  
Jianxiao Zou ◽  
Linghuan Kong ◽  
Wei He
Keyword(s):  
Fixed Time ◽  
Affine Systems ◽  
Time Control

Stabilization of networked switched affine systems with event-triggered strategy

2021 ◽  
pp. 014233122110213
Author(s):  
Dandan Li ◽  
Zhiqiang Zuo ◽  
Yijing Wang
Keyword(s):  
Affine Systems ◽  
Switching Law ◽  
Event Time ◽  
Sliding Motion ◽  
State Dependent ◽  
Event Triggering ◽  
Stability Issue ◽  
The Stability ◽  
Event Based ◽  
Selection Of

Using an event-based switching law, we address the stability issue for continuous-time switched affine systems in the network environment. The state-dependent switching law in terms of the region function is firstly developed. We combine the region function with the event-triggering mechanism to construct the switching law. This can provide more candidates for the selection of the next activated subsystem at each switching instant. As a result, it is possible for us to activate the appropriate subsystem to avoid the sliding motion. The Zeno behavior for the switched affine system can be naturally ruled out by guaranteeing a positive minimum inter-event time between two consecutive executions of the event-triggering threshold. Finally, two numerical examples are given to demonstrate the effectiveness of the proposed method.

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