Control of Nonlinear Systems Using Fixed Point Theorems

摘要

Several fixed point techniques used in control of nonlinear systems are discussed. These techniques consider a space of functions U as the set of admissible functions. Some new techniques which allow cases where the set of admissible functions U sub ad is a bounded, closed and convex subset of U are also presented. The semigroup approach is used so that distributed parameter systems are considered. A brief discussion on the various types of fixed point theorems are given, as well as some references.