On the Dissipative Hamiltonian Realization of Nonlinear Differential Algebraic Systems

Author

Li, Jianyong ; Liu, Yanhong ; Li, Chunwen

Author_Institution

Sch. of Comput. & Commun. Eng., Zhengzhou Inst. of Light Ind., Zhengzhou, China

Volume

4

fYear

2009

fDate

10-11 Oct. 2009

Firstpage

577

Lastpage

580

Abstract

This paper investigates some basic problems of the dissipative Hamiltonian realization (DHR) of nonlinear differential algebraic systems (NDAS). First, based on a novel DHR formulation which can present the internal structure properties of NDAS, the stability of the Hamiltonian realizable autonomous NDAS is analyzed. Then, the dissipation of series, parallel and feedback combination of NDAS is discussed. These results will facilitate the analysis and synthesis of complex NDAS.

Keywords

differential algebraic equations; feedback; matrix algebra; nonlinear control systems; nonlinear differential equations; stability; DHR; autonomous NDAS; dissipation matrix; dissipative Hamiltonian realization; feedback; nonlinear differential algebraic system; stability; Automation; Communication industry; DH-HEMTs; Feedback; Nonlinear equations; Nonlinear systems; Paper technology; Power system dynamics; Power system modeling; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Computation Technology and Automation, 2009. ICICTA '09. Second International Conference on

Conference_Location

Changsha, Hunan

Print_ISBN

978-0-7695-3804-4

Type

conf

DOI

10.1109/ICICTA.2009.854

Filename

5288361