Abstract
This paper focuses on the stability analysis of Linear Harmonically Time-Varying systems (LHTV) using the Integral Quadratic Constraint (IQC) approach. An LHTV system is a linear dynamical one containing one or several parameters that are sinusoidal time functions of a given frequency. In order to reduce the conservatism with respect to previous applications of the IQC approach, we generalize the multipliers proposed for uncertain time-invariant parameters to parameters which are sinusoidal functions of time. The interest of the proposed results is illustrated on two applications: the stability analysis of the Mathieu–Hill equation and of a MEMS gyroscope.
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