Rank-one LMI approach to simultaneous stabilization of linear systems

1999 ◽  
Vol 38 (2) ◽  
pp. 79-89 ◽  
Author(s):  
Didier Henrion ◽  
Sophie Tarbouriech ◽  
Michael Šebek
Keyword(s):  
Linear Systems ◽  
Simultaneous Stabilization ◽  
Lmi Approach ◽  
Rank One

scholarly journals Solution to the Generalized Champagne Problem on simultaneous stabilization of linear systems

2007 ◽  
Vol 50 (5) ◽  
pp. 719-731 ◽  
Author(s):  
Qiang Guan ◽  
Long Wang ◽  
BiCan Xia ◽  
Lu Yang ◽  
WenSheng Yu ◽  
...  
Keyword(s):  
Linear Systems ◽  
Simultaneous Stabilization

Mixed H2/H∞ Control for State-Delayed Linear Systems and a LMI Approach to the Solution of Coupled AREs

2003 ◽  
Vol 125 (2) ◽  
pp. 249-253 ◽  
Author(s):  
M. D. S. Aliyu
Keyword(s):  
Control Problem ◽  
Linear Systems ◽  
Linear Matrix Inequalities ◽  
State Feedback ◽  
Sufficient Conditions ◽  
Riccati Equations ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Lmi Approach ◽  
Alternative Approach

In this paper, the state-feedback mixed H2/H∞ control problem for state-delayed linear systems is considered. Sufficient conditions for the solvability of this problem are given in terms of the solution to a pair of algebraic Riccati equations similar to the nondelayed case. However, these Riccati equations are more difficult to solve than those arising in the pure H2,H∞ problems, and an alternative approach is to solve a pair of linear matrix inequalities (LMIs).

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