Adrian-Mihail Stoica, Isaac Yaesh: State-feedback ${\mathcal{Q}}$-stabilization and robust $\gamma$-attenuation performance with respect to the anisotropic norm of discrete-time dynamic systems, 491-500

Abstract:

The paper presents a ${\mathcal{Q}}$-stability analysis of discrete-time systems with respect to the anisotropic norm. Such properties are useful in order to reduce the conservativeness of the stability robustness radius of the nominal system subject to structured uncertainties. ${\mathcal{Q}}$-stability conditions are derived in terms of the feasibility of a specific system of matrix inequalities. Sufficient conditions for the state-feedback ${\mathcal{Q}}$-stabilization are also determined.

Key Words: robust stability, structured uncertainties, anisotropic norm, disturbance attenuation.

2010 Mathematics Subject Classification: Primary 93D09, Secondary 93D15.