Title :
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
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;
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
DOI :
10.1109/ICICTA.2009.854
