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Control problems for conservation laws with traffic applications modeling, analysis, and numerical methods / [electronic resource] :
- 作者： Bayen, Alexandre.
- 其他作者：
- 其他題名：
- PNLDE subseries in control ;
- 出版： Cham : Springer International Publishing :Imprint: Birkhauser
- 叢書名： PNLDE subseries in control,v. 99
- 主題： Conservation laws (Mathematics) , Differential Equations. , Systems Theory, Control. , Operations Research, Management Science.
- ISBN： 9783030930158 (electronic bk.) 、 9783030930141 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: Introduction -- Boundary Control -- Decentralized Control -- Distributed Control -- Lagrangian Control -- Hamilton-Jacobi Equations -- Appendix A: Balance Laws with Boundary -- Conservation Laws on Networks.
- 摘要註: Conservation and balance laws on networks have been the subject of much research interest given their wide range of applications to real-world processes, particularly traffic flow. This open access monograph is the first to investigate different types of control problems for conservation laws that arise in the modeling of vehicular traffic. Four types of control problems are discussed - boundary, decentralized, distributed, and Lagrangian control - corresponding to, respectively, entrance points and tolls, traffic signals at junctions, variable speed limits, and the use of autonomy and communication. Because conservation laws are strictly connected to Hamilton-Jacobi equations, control of the latter is also considered. An appendix reviewing the general theory of initial-boundary value problems for balance laws is included, as well as an appendix illustrating the main concepts in the theory of conservation laws on networks.
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讀者標籤：
- 系統號： 005514910 | 機讀編目格式
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