FDE-Dissipativity and its similarities with ISS systems

Author

Cahyadi, Adha Imam ; Yamamoto, Yusaku

Author_Institution

Dept. of Precision Eng., Tokai Univ., Hiratsuka

fYear

2008

fDate

20-22 Aug. 2008

Firstpage

3293

Lastpage

3298

Abstract

In this paper, a term of FDE-dissipativity in delayed nonlinear system is introduced and explored. It is shown that the FDE-dissipativity is a sufficient condition for output to be bounded. In special cases, FDE-dissipativity will also implies input to state stability (ISS) for time delay systems. Moreover it is also shown that it has equivalent characteristics with non-delayed nonlinear systems, for instance, feedback interconnection of two FDE-dissipative systems is also FDE-dissipative and it is possible to reconstruct loop-transformation with property similar to non-delayed passive system. To achieve this goal an approach from dissipativity of functional differential equation is employed.

Keywords

delay systems; differential equations; feedback; functional equations; nonlinear systems; stability; FDE-dissipativity; delayed nonlinear system; feedback interconnection; functional differential equation; input to state stability; loop transformation; nondelayed passive system; time delay systems; Control systems; Delay effects; Delay systems; Differential equations; Feedback loop; Nonlinear control systems; Nonlinear systems; Precision engineering; Stability; Sufficient conditions; FDE-Dissipativity; Function differential equation (FDE); Input to State Stability (ISS); feedback connection;

fLanguage

English

Publisher

ieee

Conference_Titel

SICE Annual Conference, 2008

Conference_Location

Tokyo

Print_ISBN

978-4-907764-30-2

Electronic_ISBN

978-4-907764-29-6

Type

conf

DOI

10.1109/SICE.2008.4655233

Filename

4655233