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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 2002-12
上傳時間 16-八月-2016 15:15:38 (UTC+8)
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
dc.creator (作者) Chérif, Amer-Yahia
dc.date (日期) 2002-12
dc.date.accessioned 16-八月-2016 15:15:38 (UTC+8)-
dc.date.available 16-八月-2016 15:15:38 (UTC+8)-
dc.date.issued (上傳時間) 16-八月-2016 15:15:38 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/100249-
dc.description.abstract (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.
dc.format.extent 1172599 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) 資管評論, 11, 99-122
dc.relation (關聯) MIS review
dc.subject (關鍵詞) Continuous Petri Nets;State equation;Stability;Modeling;Control;Analysis;Eigenvalues;Production Systems
dc.title (題名) State Equation and Stability for a Class of Continuous Petri Nets. Application to the Control of a Production System
dc.type (資料類型) article