Robust stabilization of delayed singular systems with linear fractional parametric uncertainties. (English) Zbl 1045.93042

Zhou, Shaosheng; Lam, James

Circuits Syst. Signal Process. 22, No. 6, 579-588 (2003).

The problem of robust stabilization of delayed singular systems with linear fractional parametric uncertainties involving all system matrices is considered. Necessary and sufficient conditions for quadratic stability and quadratic stabilization are established. A strict linear matrix inequality design approach is developed. The presented results generalize and improve the previous ones for delayed singular systems with norm-bounded parametric uncertainties.

Reviewer: Tadeusz Kaczorek (Warszawa)

MSC:

93D21	Adaptive or robust stabilization
93C23	Control/observation systems governed by functional-differential equations
15A39	Linear inequalities of matrices
34A09	Implicit ordinary differential equations, differential-algebraic equations
93D09	Robust stability

Keywords:

robust stabilization; delayed singular systems; linear fractional parametric uncertainties; quadratic stabilization; linear matrix inequality