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H -control of linear state-delay descriptor systems: An LMI approach. (English) Zbl 1006.93021

The H control of the linear state-delay descriptor system

Ex ˙(t)= i=0 2 A i x(t-h i )+ -d 0 A d x(t+s)ds+B 1 w(t)x(t)=0,t0z(t)=colC 0 x (t) , C 1 x (t-h 1 ) , C 2 x (t-h 2 )

is studied, and a delay-dependent robust controller without impulsive solutions is obtained. The method is based on the standard use of linear matrix inequalities.

93B36H -control
93C23Systems governed by functional-differential equations
34A09Implicit equations, differential-algebraic equations
15A39Linear inequalities of matrices