Presentation 2010-11-19
Stability Analysis of the Interrupted System with Periodic Border Depending on its State and Periodic Interval
Kenichi TASAKI, Takuji KOUSAKA,
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Abstract(in English) The discrete map of the interrupted systems depending on its state and periodic interval often constructs the piecewise smooth system. Moreover, these system have been studied over the past few decades, and various kinds of properties and phenomena have been reported. However, there is no study about the interrupted system depending on its state and periodic interval with periodic border. In this paper, we examine the stability of the interrupted system with periodic border depending on its state and periodic interval. First, the composite dynamical system and its behavior are shown. Then, the return map is derived to analyze the properties of the composite dynamical system. Finally, we discuss the stability of the interrupted system with periodic border depending on its state and periodic interval.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Periodic border / Piecewise smooth system / Return map / Stability
Paper # NLP2010-104
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Committee NLP
Conference Date 2010/11/12(1days)
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Paper Information
Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Stability Analysis of the Interrupted System with Periodic Border Depending on its State and Periodic Interval
Sub Title (in English)
Keyword(1) Periodic border
Keyword(2) Piecewise smooth system
Keyword(3) Return map
Keyword(4) Stability
1st Author's Name Kenichi TASAKI
1st Author's Affiliation Faculty of Engineering, Oita University()
2nd Author's Name Takuji KOUSAKA
2nd Author's Affiliation Faculty of Engineering, Oita University
Date 2010-11-19
Paper # NLP2010-104
Volume (vol) vol.110
Number (no) 299
Page pp.pp.-
#Pages 4
Date of Issue