Dissipative Hamiltonian Realization of Nonlinear Differential Algebraic Systems

Abstract

Hamiltonian function method is important in the analysis and synthesis of nonlinear differential algebraic systems (NDAS) where the key process is to complete the dissipative Hamiltonian realization (DHR) of the considered system. In this paper we will discuss the DHR problem of NDAS. First, a sufficient condition is given to complete the constant DHR. The construction of constant DHR of NDAS is discussed as well. Then, for NDAS which does not possess a desired DHR, the feedback controller is designed to re-assign the structure of DHR. The asymptotical stability of the closed loop system is also analized.