A Semigroup Representation of Linear Classes of Causal, Time-Varying, Nonlinear systems.

摘要

From the input-output map of a nonlinear, time-varying, causal system operating for all time, the input-output maps of truncations of the system corresponding to finite observation intervals of fixed duration are formed. Some properties of the trajectories of these truncated systems are presented. Under certain conditions the trajectories for a class of systems are generated by a one-parameter semigroup of operators of class C sub o.