Lyapunov Based Stability Analysis for Metro Lines
In this work a direct method to measure the stability of metro system lines with respect to a previously constructed time schedule is presented. For this purpose we first model saturation effects using a real time discrete space state representation and then apply a Lyapunov-based stability analysis...
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| 语言: | 英语 |
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2008
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| 在线阅读: | http://ridda2.utp.ac.pa/handle/123456789/2414 |
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| _version_ | 1869652462210646016 |
|---|---|
| author | Berbey Álvarez, Aranzazu |
| author2 | Galán, Ramón Segundo, Pablo San Sanz Bobi, Juan de Dios |
| author2_role | author author author |
| author_browse | Berbey Álvarez, Aranzazu Galán, Ramón Sanz Bobi, Juan de Dios Segundo, Pablo San |
| author_facet | Berbey Álvarez, Aranzazu Galán, Ramón Segundo, Pablo San Sanz Bobi, Juan de Dios |
| author_role | author |
| collection | Repositorio Institucional de documento digitales de acceso abierto de la UTP |
| dc.creator.none.fl_str_mv | Berbey Álvarez, Aranzazu Galán, Ramón Segundo, Pablo San Sanz Bobi, Juan de Dios |
| dc.date.none.fl_str_mv | 2008-06-30 2008-06-30 2017-08-01T20:59:05Z 2017-08-01T20:59:05Z 2017-08-01T20:59:05Z 2017-08-01T20:59:05Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | http://ridda2.utp.ac.pa/handle/123456789/2414 http://ridda2.utp.ac.pa/handle/123456789/2414 |
| dc.language.none.fl_str_mv | eng eng |
| dc.rights.none.fl_str_mv | https://creativecommons.org/licenses/by-nc-sa/4.0/ info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:Repositorio Institucional de documento digitales de acceso abierto de la UTP instname:Universidad Tecnológica de Panamá instacron:U Tecnológica de Panamá |
| dc.subject.none.fl_str_mv | metro system stability planning genetic algorithm artificial intelligence metro system stability planning genetic algorithm artificial intelligence |
| dc.title.none.fl_str_mv | Lyapunov Based Stability Analysis for Metro Lines |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
| description | In this work a direct method to measure the stability of metro system lines with respect to a previously constructed time schedule is presented. For this purpose we first model saturation effects using a real time discrete space state representation and then apply a Lyapunov-based stability analysis considering time delays of trains as disturbances. As a result we have been able to define a new set of indexes that relate time delays with the validity of the actual time schedule when falling inside a particular ‘stability area’. Results obtained in a simulated environment show that the new stability indexes are able to evaluate quantitatively and qualitatively the effects of saturation in metro lines as well as predict the need for rescheduling Keywords: metro system, stability, planning, genetic algorithm, artificial intelligence. 1 Introduction The dynamics of metro line systems have been deeply studied by several researchers [1–5,7–10]. Most of these dynamical models are based on the Sasama and Ohkawa [9] linear model. It is well known that such kind of linear models, usually yield simple formulation, implementation and simulation. As a result, some dynamic traffic linear controllers [1–3,7] and real time simulators [3,4] have been proposed. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | lrtest_4b7a392a2c1cdb5baa2900d8ede065f7 |
| instacron_str | U Tecnológica de Panamá |
| institution | U Tecnológica de Panamá |
| instname_str | Universidad Tecnológica de Panamá |
| language | eng |
| network_acronym_str | lrtest |
| network_name_str | lr |
| oai_identifier_str | oai:ridda2.utp.ac.pa:123456789/2414 |
| publishDate | 2008 |
| publishDateSort | 2008 |
| reponame_str | Repositorio Institucional de documento digitales de acceso abierto de la UTP |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
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| rights_invalid_str_mv | https://creativecommons.org/licenses/by-nc-sa/4.0/ |
| spelling | Lyapunov Based Stability Analysis for Metro LinesBerbey Álvarez, AranzazuGalán, RamónSegundo, Pablo SanSanz Bobi, Juan de Diosmetro systemstabilityplanninggenetic algorithmartificial intelligencemetro systemstabilityplanninggenetic algorithmartificial intelligenceIn this work a direct method to measure the stability of metro system lines with respect to a previously constructed time schedule is presented. For this purpose we first model saturation effects using a real time discrete space state representation and then apply a Lyapunov-based stability analysis considering time delays of trains as disturbances. As a result we have been able to define a new set of indexes that relate time delays with the validity of the actual time schedule when falling inside a particular ‘stability area’. Results obtained in a simulated environment show that the new stability indexes are able to evaluate quantitatively and qualitatively the effects of saturation in metro lines as well as predict the need for rescheduling Keywords: metro system, stability, planning, genetic algorithm, artificial intelligence. 1 Introduction The dynamics of metro line systems have been deeply studied by several researchers [1–5,7–10]. Most of these dynamical models are based on the Sasama and Ohkawa [9] linear model. It is well known that such kind of linear models, usually yield simple formulation, implementation and simulation. As a result, some dynamic traffic linear controllers [1–3,7] and real time simulators [3,4] have been proposed.In this work a direct method to measure the stability of metro system lines with respect to a previously constructed time schedule is presented. For this purpose we first model saturation effects using a real time discrete space state representation and then apply a Lyapunov-based stability analysis considering time delays of trains as disturbances. As a result we have been able to define a new set of indexes that relate time delays with the validity of the actual time schedule when falling inside a particular ‘stability area’. Results obtained in a simulated environment show that the new stability indexes are able to evaluate quantitatively and qualitatively the effects of saturation in metro lines as well as predict the need for rescheduling Keywords: metro system, stability, planning, genetic algorithm, artificial intelligence. 1 Introduction The dynamics of metro line systems have been deeply studied by several researchers [1–5,7–10]. Most of these dynamical models are based on the Sasama and Ohkawa [9] linear model. It is well known that such kind of linear models, usually yield simple formulation, implementation and simulation. As a result, some dynamic traffic linear controllers [1–3,7] and real time simulators [3,4] have been proposed.2017-08-01T20:59:05Z2017-08-01T20:59:05Z2017-08-01T20:59:05Z2017-08-01T20:59:05Z2008-06-302008-06-30info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://ridda2.utp.ac.pa/handle/123456789/2414http://ridda2.utp.ac.pa/handle/123456789/2414engenghttps://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccessreponame:Repositorio Institucional de documento digitales de acceso abierto de la UTPinstname:Universidad Tecnológica de Panamáinstacron:U Tecnológica de Panamáoai:ridda2.utp.ac.pa:123456789/24142021-07-06T15:34:52Z |
| spellingShingle | Lyapunov Based Stability Analysis for Metro Lines Berbey Álvarez, Aranzazu metro system stability planning genetic algorithm artificial intelligence metro system stability planning genetic algorithm artificial intelligence |
| status_str | publishedVersion |
| title | Lyapunov Based Stability Analysis for Metro Lines |
| title_full | Lyapunov Based Stability Analysis for Metro Lines |
| title_fullStr | Lyapunov Based Stability Analysis for Metro Lines |
| title_full_unstemmed | Lyapunov Based Stability Analysis for Metro Lines |
| title_short | Lyapunov Based Stability Analysis for Metro Lines |
| title_sort | Lyapunov Based Stability Analysis for Metro Lines |
| topic | metro system stability planning genetic algorithm artificial intelligence metro system stability planning genetic algorithm artificial intelligence |
| url | http://ridda2.utp.ac.pa/handle/123456789/2414 |