Robust stability and performance analysis for state space systems via quadratic Lyapunov bounds

Abstract
The authors consider quadratic Lyapunov bounds to obtain a simultaneous treatment of both robust stability and performance. The approach is based on the construction of modified Lyapunov equations which provide sufficient conditions for robust stability along with robust performance bounds. One of the principal features of this work is the unified treatment and extension of several quadratic Lyapunov bounds developed previously for feedback control design.