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Zbl 1023.93055
Moon, Young Soo; Park, Poogyeon; Kwon, Wook Hyun; Lee, Young Sam
Delay-dependent robust stabilization of uncertain state-delayed systems.
(English)
[J] Int. J. Control 74, No. 14, 1447-1455 (2001). ISSN 0020-7179; ISSN 1366-5820/e

For uncertain delayed system $$ \dot{x}(t)=(A+DF(t)E)x(t)+(A_1+D_1F_1(t)E_1)x(t-h)+ (B+DF(t)E_{a})u(t), $$ $$ x(t)=\Phi(t),\qquad t\in[-h,0], $$ with various feedback controls: $$ u(t)=Gx(t);u(t)=Gx(t)+G_1x(t-h);u(t)=Gx(t)+\int_{t-h}^{t}G_2(s)x(s) ds, $$ delay-dependent robust stabilization conditions are obtained, respectively. A feedback control law is constructed by an algorithm based on convex optimization.
[Tamaz Tadumadze (Tbilisi)]
MSC 2000:
*93D21 Adaptive and robust stabilization
93C23 Systems governed by functional-differential equations
90C25 Convex programming

Keywords: robust stability; uncertain delay system; delay-dependent robust stabilization; convex optimization

Cited in: Zbl 1209.93076

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