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Zbl 1017.93038
Xie, L.; Fridman, E.; Shaked, U.
Robust $H_\infty$ control of distributed delay systems with application to combustion control. (English)
[J] IEEE Trans. Autom. Control 46, No.12, 1930-1935 (2001). ISSN 0018-9286

Two types of linear systems with distributed time delay are considered. A stability and $L_2$-gain criterion is established. A state-feedback control design which stabilizes the distributed delay system and achieves a guaranteed disturbance attenuation level in spite of a polytopic uncertainty in the system parameters is derived. This method is applied to the robust stabilization and control of combustion in rocket motor chambers.
[Alexandra Rodkina (Mona, Kingston)]

MSC 2000:: *93B36 $H^\infty$-control
93C23 Systems governed by functional-differential equations
93C95 Appl. of control theory
93D21 Adaptive and robust stabilization

Keywords: linear matrix inequality; distributed time delay; $L_2$-gain criteria; disturbance attenuation; polytopic uncertainty; robust stabilization; control of combustion

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