Abstract
Chapter 3 has investigated robust stability and performance of systems with time-varying uncertainties. Another class of fundamental problems in systems engineering concerns robustness analysis of systems affected by time-invariant uncertainties. Such problems arise, for example, when one has to establish whether all systems contained in a given set are stable, or they achieve a guaranteed level of performance. Although the techniques presented in Chapter 3 can be used to address also time-invariant uncertainties, they turn out to be conservative. Actually, the use of parameter-dependent Lyapunov functions can significantly reduce the conservatism of Lyapunov-based robustness analysis techniques.
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