Stabilization of non-linear differential-algebraic equation systems

2004 ◽  
Vol 77 (7) ◽  
pp. 671-684 ◽  
Author(s):  
Xiaoping Liu * ◽  
Daniel W. C. Ho
Keyword(s):  
Algebraic Equation ◽  
Differential Algebraic Equation ◽  
Non Linear ◽  
Linear Differential

scholarly journals Positive Stabilization of Linear Differential Algebraic Equation System

2016 ◽  
Vol 2016 ◽  
pp. 1-3 ◽  
Author(s):  
Muhafzan
Keyword(s):  
Algebraic Equation ◽  
State Feedback ◽  
Closed Loop ◽  
Equation System ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Closed Loop System ◽  
Differential Algebraic Equation ◽  
Linear Differential ◽  
Necessary And Sufficient

We study in this paper the existence of a feedback for linear differential algebraic equation system such that the closed-loop system is positive and stable. A necessary and sufficient condition for such existence has been established. This result can be used to detect the existence of a state feedback law that makes the linear differential algebraic equation system in closed loop positive and stable.

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