scholarly journals Based on Linear Matrix Inequality Stability Analysis of Neutral Delay Systems

2010 ◽  
Vol 4 (4) ◽  
Author(s):  
Long Yu ◽  
Hongxia Sun
Keyword(s):  
Stability Analysis ◽  
Linear Matrix Inequality ◽  
Delay Systems ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Neutral Delay ◽  
Neutral Delay Systems

Dissipative Control for Nonlinear Neutral Delay Systems

2011 ◽  
Vol 48-49 ◽  
pp. 439-442
Author(s):  
Long Liu ◽  
Ming Li
Keyword(s):  
Controller Design ◽  
Design Method ◽  
Sufficient Conditions ◽  
Delay Systems ◽  
Linear Matrix ◽  
Neutral Delay ◽  
Static State ◽  
Neutral Delay Systems ◽  
Dissipative Control ◽  
Static State Feedback

The problem of delay-dependent dissipative control for nonlinear neutral delay systems is dealt with. We develop the design method of dissipative static state feedback controller such that the closed-loop system is absolutely stable and strictly-dissipative. Sufficient conditions for the existence of the quadratic dissipative controller are obtained by using linear Matrix Inequality(LMI) approach. Furthermore, a procedure of constructing such a controller from the solution of LMI is given. It is shown that the solvability of a dissipative controller design is implied by the feasibility of LMIs.

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