GUARDIAN MAP APPROACH TO ROBUST STABILITY OF LINEAR-SYSTEMS WITH CONSTANT REAL PARAMETER UNCERTAINTY

New sufficient conditions are derived for stability robustness of line ar time-invariant state-space systems with constant real parameter unc ertainty. These bounds are obtained by applying a guardian map to the uncertain system matrices. Since this approach is only valid for const ant real parameter uncertainty, these bounds do not imply quadratic st ability, which guarantees robust stability with respect to time-varyin g uncertainty but is often conservative with respect to constant real parameter uncertainty. Numerical results are given to compare the new bounds with bounds obtained previously by means of Lyapunov methods.