On positive realness, negative imaginariness, and H∞ control of state-space symmetric systems

Automatica ◽  
2019 ◽  
Vol 101 ◽  
pp. 190-196 ◽  
Author(s):  
Mei Liu ◽  
James Lam ◽  
Bohao Zhu ◽  
Ka-Wai Kwok
Keyword(s):  
State Space ◽  
Positive Realness ◽  
Symmetric Systems

Negative imaginariness and positive realness analysis of state-space symmetric systems with interval uncertainty

2021 ◽  
pp. 095965182110480
Author(s):  
Mei Liu ◽  
Hong Lin ◽  
Yan Wang ◽  
Gang Chen
Keyword(s):  
State Space ◽  
Interval Uncertainty ◽  
Symmetric System ◽  
Positive Real ◽  
State Matrix ◽  
Numerical Design ◽  
Positive Realness ◽  
Necessary And Sufficient ◽  
Sufficient Test ◽  
Symmetric Systems

In this article, the state-space symmetric systems with symmetrical interval uncertainty that have positive real and negative imaginary properties are studied. First, a necessary and sufficient test in view of a state matrix is derived for a state-space symmetric system to be negative imaginary, which allows having poles at the origin. Second, bounds on symmetrical interval uncertainty that guarantee the positive realness and negative imaginariness of state-space symmetric systems are provided. Finally, the main results are illustrated by a resistor–capacitor network and a numerical design example.

Model reduction for state-space symmetric systems

1998 ◽  
Vol 34 (4) ◽  
pp. 209-215 ◽  
Author(s):  
W.Q. Liu ◽  
V. Sreeram ◽  
K.L. Teo
Keyword(s):  
Model Reduction ◽  
State Space ◽  
Symmetric Systems

Dissipative analysis and control of state-space symmetric systems

Automatica ◽  
2009 ◽  
Vol 45 (6) ◽  
pp. 1574-1579 ◽  
Author(s):  
Mona Meisami-Azad ◽  
Javad Mohammadpour ◽  
Karolos M. Grigoriadis
Keyword(s):  
State Space ◽  
And Control ◽  
Symmetric Systems

Dissipative analysis and control of state-space symmetric systems

2008 ◽  
Author(s):  
Mona Meisami-Azad ◽  
Javad Mohammadpour ◽  
Karolos M. Grigoriadis
Keyword(s):  
State Space ◽  
And Control ◽  
Symmetric Systems
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