On critical delays for linear neutral delay systems

Author(s):  
Elias Jarlebring
2011 ◽  
Vol 48-49 ◽  
pp. 439-442
Author(s):  
Long Liu ◽  
Ming Li

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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