Exact robust H{sub}2 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 H{sub}2 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 finite-dimensional LMIs. The discrete-time counterpart of the above results is also derived.
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