LMI Conditions for Robust Stability of 2D Linear Discrete-Time Systems

الملخص EN

Robust stability conditions are derived for uncertain 2D linear discrete-time systems, described by Fornasini-Marchesini second models with polytopic uncertainty.

Robust stability is guaranteed by the existence of a parameter-dependent Lyapunov function obtained from the feasibility of a set of linear matrix inequalities, formulated at the vertices of the uncertainty polytope.

Several examples are presented to illustrate the results.