Title :
A Universal Parametrization of Supply Rates for iISS and ISS Systems
Author_Institution :
Dept. of Syst. Innovation & Informatics, Kyushu Inst. of Technol., Iizuka
Abstract :
This paper is concerned with the development of a new tool for establishing stability of interconnected nonlinear systems. The purpose is to accomplish continuous generalization of "parametrization of supply rates" developed previously for ISS systems to cover a broader class of systems characterized by integral input-to-state stability (iISS) property. Recently, a primary attempt has been made to expand the framework of parametrization to iISS systems. However, the primary result looks too restrictive to be used in practice since it involves a complicated gain condition and requires additional restrictions compared with the ISS case. This paper removes all the restrictions and simplifies the gain condition. A universal formula is proposed for the parametrization which is applicable to iISS systems as well as ISS systems in a unified manner
Keywords :
interconnected systems; nonlinear systems; stability; complicated gain condition; integral input-to-state stability; interconnected nonlinear system; supply rate; universal parametrization; Indium tin oxide; Informatics; Interconnected systems; Nonlinear dynamical systems; Nonlinear systems; Shape; Stability analysis; Technological innovation; Integral input-to-state stability; Nonlinear interconnected systems; Small gain condition; Supply rates;
Conference_Titel :
SICE-ICASE, 2006. International Joint Conference
Conference_Location :
Busan
Print_ISBN :
89-950038-4-7
Electronic_ISBN :
89-950038-5-5
DOI :
10.1109/SICE.2006.315110
