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Exact robust H2 performance analysis for linear single-parameter dependent systems

By: Fukumoto, H.; Fujisaki, Y.;

2007 / IEEE / 978-1-4244-1497-0

Description

This item was taken from the IEEE Conference ' Exact robust H2 performance analysis for linear single-parameter dependent systems ' Exact robust H2 performance analysis is considered for linear time-invariant continuous-time systems whose coefficient matrices are polynomials of a single parameter. A necessary and sufficient condition for the robust H2 performance is derived as a set of parameterized LMIs whose variable matrix is a polynomial of the parameter, where a bound of its degree is given explicitly. Then, the parameterized LMIs are transformed exactly to parameter-independent and finitedimensional LMIs. The discrete-time counterpart of the above results is also derived.