Quadratic Stability of Uncertain Linear Systems: Continuous and Discrete Time Cases

This paper presents necessary and sufficient conditions for quadratic stability of uncertain linear continuous time systems with time varying parametric uncertainties. The approach can cope with a large class of uncertainties : various sources of uncertainties (which may depend on a parameter vector) may be considered ; the uncertainties may be structured or not. The discrete time case is also treated and sufficient conditions are given for the same class of uncertainties.