Abstract: Generalized synchronization of two non-identical systems is studied based on Temam's inertia manifold theory of infinite dimensional dynamical systems. On the assumption that both systems have absorbing sets and attractors, the generalized synchronization manifold, which has the property of Lipschitz smoothness, invariance and exponential absorption, can be attained by defining a fixed point in a class of functions. Simulation results validate the theory.

Keywords: 
• generalized synchronization /
• attractor /
• generalized synchronization manifold