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

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.

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
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