scholarly journals Results concerning interval linear systems with multiple right-hand sides and the interval matrix equation AX=B

2011 ◽  
Vol 235 (9) ◽  
pp. 2969-2978 ◽  
Author(s):  
Behnam Hashemi ◽  
Mehdi Dehghan
Keyword(s):  
Linear Systems ◽  
Matrix Equation ◽  
Interval Matrix ◽  
Right Hand ◽  
Interval Linear ◽  
Interval Linear Systems

Farkas-type theorems for interval linear systems

2014 ◽  
Vol 63 (7) ◽  
pp. 1390-1400 ◽  
Author(s):  
Mengxue Xia ◽  
Wei Li ◽  
Haohao Li
Keyword(s):  
Linear Systems ◽  
Interval Linear ◽  
Interval Linear Systems

H∞ Robust State Feedback Sampled-Data Control of Interval Linear Systems

2020 ◽  
Author(s):  
Rafael M. Alves ◽  
André R. Fioravanti ◽  
Matheus Souza
Keyword(s):  
Control Problem ◽  
Linear Systems ◽  
Hybrid Systems ◽  
Upper Bound ◽  
State Feedback ◽  
Data Systems ◽  
Sampled Data ◽  
Data Control ◽  
Interval Linear ◽  
Interval Linear Systems

In this paper, we address the H∞ control problem for uncertain sampled-data systems rewritten as hybrid systems. The conditions proposed are formulated as intervals to ensure stability and design controllers that guarantee an upper bound for an associated H∞ norm. A numerical example points out the main features of the proposed method.

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