The approximate stability for distributed parameter systems

Author

Xingsheng, Gu ; Weisun, Jiang

Author_Institution

Res. Inst. of Autom., East China Univ. of Sci. & Technol., Shanghai, China

fYear

1994

fDate

5-9 Dec 1994

Firstpage

761

Lastpage

765

Abstract

The stability of distributed parameter systems (DPSs) plays an important role in the analysis and synthesis of DPS. But the study of stability of DPSs is more difficult than that of lumped parameter systems (LPSs) due to the distribution characteristics. In this paper, based on the spectrum decomposition theory of partial differential equations, the authors propose some new concepts about the approximate stability of DPSs by means of approximate transformation of orthogonal functions. The definition of the transformation of distributed parameter systems on the basis of orthogonal functions is put forward; and various definitions of approximate stability of DPSs, including approximate stability, asymptotically approximate stability and large range asymptotically approximate stability of DPSs are given; for linear DPSs, the criterion of approximate stability is investigated. Finally, two classes of linear DPSs-first order and second order-are investigated in detail for their approximate stability criteria

Keywords

asymptotic stability; distributed parameter systems; linear systems; partial differential equations; stability criteria; approximate stability criteria; approximate transformation; distributed parameter systems; distribution characteristics; first-order systems; large range asymptotically approximate stability; orthogonal functions; partial differential equations; second-order systems; spectrum decomposition theory; Asymptotic stability; Automation; Control systems; Distributed parameter systems; Feedback control; Lyapunov method; Partial differential equations; Space heating; Stability analysis; Stability criteria;

fLanguage

English

Publisher

ieee

Conference_Titel

Industrial Technology, 1994., Proceedings of the IEEE International Conference on

Conference_Location

Guangzhou

Print_ISBN

0-7803-1978-8

Type

conf

DOI

10.1109/ICIT.1994.467037

Filename

467037