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https://ah.lib.nccu.edu.tw/handle/140.119/100249
題名: | State Equation and Stability for a Class of Continuous Petri Nets. Application to the Control of a Production System | 作者: | Chérif, Amer-Yahia | 關鍵詞: | Continuous Petri Nets;State equation;Stability;Modeling;Control;Analysis;Eigenvalues;Production Systems | 日期: | Dec-2002 | 上傳時間: | 16-Aug-2016 | 摘要: | The paper presents an analysis of continuous Petri nets using linear algebra of matrices. It provides a link between the classical results of linear systems and Petri nets via the continuous model. A class of variable speed continuous Petri nets (VCPNs), namely Extended State Machines VCPNs (ESMVCPNs) is studied. A state-variable representation and its associated matrix algebra are used to describe systems modeled by ESMVCPNs. The state variable formulation introduced here is that of a linear continuous time-invariant system with nonnegative state (marking) and control vector. The stability and asymptotic stability concepts of linear dynamic systems are applied to continuous Petri nets. A necessary and sufficient condition of conservativeness of ESMVCPNs, based on eigenvalues, is proved. These results are used for the control of a production system. | 關聯: | 資管評論, 11, 99-122 MIS review |
資料類型: | article |
Appears in Collections: | 期刊論文 |
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File | Description | Size | Format | |
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11-99-122.pdf | 1.15 MB | Adobe PDF2 | View/Open |
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