scholarly journals Statistical learning methods in linear algebra and control problems: the example of finite-time control of uncertain linear systems

2002 ◽  
Vol 351-352 ◽  
pp. 11-26 ◽  
Author(s):  
C.T. Abdallah ◽  
F. Amato ◽  
M. Ariola ◽  
P. Dorato ◽  
V. Koltchinskii
Keyword(s):  
Linear Systems ◽  
Statistical Learning ◽  
Linear Algebra ◽  
Finite Time ◽  
Control Problems ◽  
Learning Methods ◽  
Time Control ◽  
And Control ◽  
Uncertain Linear Systems

scholarly journals Guaranteed Cost Finite-Time Control for Positive Switched Linear Systems with Time-Varying Delays

2017 ◽  
Vol 2017 ◽  
pp. 1-10 ◽  
Author(s):  
Xiangyang Cao ◽  
Leipo Liu ◽  
Zhumu Fu ◽  
Xiaona Song ◽  
Shuzhong Song
Keyword(s):  
Linear Systems ◽  
Finite Time ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
State Feedback Control ◽  
Time Varying ◽  
Switched Linear Systems ◽  
Time Control ◽  
Guaranteed Cost ◽  
Finite Time Boundedness

This paper considers the guaranteed cost finite-time control for positive switched linear systems with time-varying delays. The definition of guaranteed cost finite-time boundedness is firstly given. Then, by using the mode-dependent average dwell time approach, a static output feedback law and a state feedback control law are constructed, respectively, and sufficient conditions are obtained to guarantee that the closed-loop system is guaranteed cost finite-time boundedness. Such conditions can be easily solved by linear programming. Finally, an example is given to illustrate the effectiveness of the proposed method.

RobustH∞finite-time control for discrete-time polytopic uncertain switched linear systems

2018 ◽  
Vol 29 ◽  
pp. 348-362 ◽  
Author(s):  
Jaepil Ban ◽  
Wookyong Kwon ◽  
Sangchul Won ◽  
Sangwoo Kim
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Finite Time ◽  
Switched Linear Systems ◽  
Time Control
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