Robust Stability Analysis for State-Space Model of Discrete-Time Systems

A sufficient condition for robust stability of discrete-time systems with structured uncertainties is presented. By constructing a convex set of uncertain parameters within which the robust stability is guaranteed, a procedure for stability bound estimation is proposed, which is suitable for the case that the nominally unstable systems. The more the computational points increase, the more this stability bound obtained is close to this convex set. It is also shown that when the nominal system is stable, the existing bounds for robust stability are subsets of our bounds.