scholarly journals Detecting Unsolvability of Interval Linear Systems

10.29007/ptx4 ◽  
2018 ◽  
Author(s):  
Jaroslav Horáček ◽  
Jan Horáček ◽  
Milan Hladík
Keyword(s):  
Linear Systems ◽  
Random Systems ◽  
Sufficient Conditions ◽  
Interval Linear ◽  
Interval Linear Systems

In this paper we deal with detection of unsolvability of interval linear systems. Various methods based on existing algorithms or on existing sufficient conditions are developed. The methods are tested on a large variety of random systems and the results are visualized. The two strongest sufficient conditions are proved to be equivalent under a certain assumption. The topic of detecting solvability is also touched upon.

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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