Lyapunov-based robustness analysis techniques for clearance

This chapter considers different techniques for robustness analysis of uncertain systems modeled by linear fractional representations, based on the use of parameter-dependent Lyapunov functions and multipliers. Several sufficient conditions for robust stability, relying on the choice of simplified structures for the Lyapunov function and the multiplier matrices, are proposed. These conditions provide a useful tool for trading off conservatism and computational burden, which is a key issue when addressing robustness analysis of high dimensional uncertain systems arising from clearance problems.