Stabilization of Nonlinear Fornasini–Marchesini Systems

Resumo

This paper considers the 2D systems described by the Fornasini–Marchesini statespace model. Direct and converse theorems on the exponential stability of such systems are proved in terms of vector Lyapunov functions. The concepts of exponential passivity and a vector storage function are introduced for solving exponential stabilization problems. An example is given to illustrate the efficiency of the new results.