A new necessary and sufficient condition for static output feedback stabilizability and comments on "Stabilization via static output feedback"

1998 ◽  
Vol 43 (8) ◽  
pp. 1110-1111 ◽  
Author(s):  
Yong-Yan Cao ◽  
You-Xian Sun ◽  
Wei-Jie Mao
Keyword(s):  
Output Feedback ◽  
Sufficient Condition ◽  
Static Output Feedback ◽  
Necessary And Sufficient Condition ◽  
Feedback Stabilizability ◽  
Necessary And Sufficient ◽  
Static Output

scholarly journals Arbitrary Coefficient Assignment by Static Output Feedback for Linear Differential Equations with Non-Commensurate Lumped and Distributed Delays

Mathematics ◽  
2021 ◽  
Vol 9 (17) ◽  
pp. 2158
Author(s):  
Vasilii Zaitsev ◽  
Inna Kim
Keyword(s):  
Output Feedback ◽  
Sufficient Conditions ◽  
The State ◽  
Distributed Delays ◽  
Static Output Feedback ◽  
Finite Spectrum ◽  
Multiple Variables ◽  
Linear Differential ◽  
Necessary And Sufficient ◽  
Static Output

We consider a linear control system defined by a scalar stationary linear differential equation in the real or complex space with multiple non-commensurate lumped and distributed delays in the state. In the system, the input is a linear combination of multiple variables and its derivatives, and the output is a multidimensional vector of linear combinations of the state and its derivatives. For this system, we study the problem of arbitrary coefficient assignment for the characteristic function by linear static output feedback with lumped and distributed delays. We obtain necessary and sufficient conditions for the solvability of the arbitrary coefficient assignment problem by the static output feedback controller. Corollaries on arbitrary finite spectrum assignment and on stabilization of the system are obtained. We provide an example illustrating our results.

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