Introductory optimization dynamics [electronic resource] : optimal control with economics and management science applications / Pierre N.V. Tu.
Optimal Control theory has been increasingly used in Economi- and Management Science in the last fifteen years or so. It is now commonplace, even at textbook level. It has been applied to a great many areas of Economics and Management Science, such as Optimal Growth, Optimal Population, Pollution co...
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Full Text (via Springer) |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer-Verlag,
1984.
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| Subjects: |
MARC
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| 245 | 1 | 0 | |a Introductory optimization dynamics |h [electronic resource] : |b optimal control with economics and management science applications / |c Pierre N.V. Tu. |
| 260 | |a Berlin ; |a New York : |b Springer-Verlag, |c 1984. | ||
| 300 | |a 1 online resource (xiii, 387 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent. | ||
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| 504 | |a Includes bibliographical references (pages 373-387) | ||
| 505 | 0 | |a 1 Introduction -- 2 The Calculus of Variations -- 3 Boundary Conditions in Variational Problems -- 4 Second Variations and Sufficiency Conditions -- 5 Optimal Control: The Variational Approach -- 6 Constrained Optimai Control Problems -- 7 Linear Optimal Control -- 8 Stabilization Control Models -- 9 Discrete Control Systems -- 10 Sensitivity Analysis -- 11 Some Economic and Management Applications -- Mathematical Appendix: Review Of Differential And Difference Equations -- A.1 Introduction -- A.2 Differential Equations -- A.2.1 First Order Linear Differential Equation Systems -- A.2.2 Fundamental Matrix -- A.2.3 The nth Order Differential Equation -- A.2.4 Non-Homogeneous First Order Differential Equation Systems -- A.3 Difference Equations -- A.4 Stability of Differential and Difference Equations -- A.5 Phase Diagrams and Non-Linear Differential Equations -- A.6 Isoclines -- A.7 Non-Linear Differential Equations -- A.8 Phase Diagrams of Difference Equations -- A.9 Liapunov's Second (or Direct) Method -- References. | |
| 520 | |a Optimal Control theory has been increasingly used in Economi- and Management Science in the last fifteen years or so. It is now commonplace, even at textbook level. It has been applied to a great many areas of Economics and Management Science, such as Optimal Growth, Optimal Population, Pollution control, Natural Resources, Bioeconomics, Education, International Trade, Monopoly, Oligopoly and Duopoly, Urban and Regional Economics, Arms Race control, Business Finance, Inventory Planning, Marketing, Maintenance and Replacement policy and many others. It is a powerful tool of dynamic optimization. There is no doubt social sciences students should be familiar with this tool, if not for their own research, at least for reading the literature. These Lecture Notes attempt to provide a plain exposition of Optimal Control Theory, with a number of economic examples and applications designed mainly to illustrate the various techniques and point out the wide range of possible applications rather than to treat exhaustively any area of economic theory or policy. Chapters 2,3 and 4 are devoted to the Calculus of Variations, Chapter 5 develops Optimal Control theory from the Variational approach, Chapter 6 deals with the problems of constrained state and control variables, Chapter 7, with Linear Control models and Chapter 8, with stabilization models. Discrete systems are discussed in Chapter 9 and Sensitivity analysis in Chapter 10. Chapter 11 presents a wide range of Economics and Management Science applications. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Mathematical optimization. |0 http://id.loc.gov/authorities/subjects/sh85082127. | |
| 650 | 0 | |a Control theory. |0 http://id.loc.gov/authorities/subjects/sh85031658. | |
| 650 | 0 | |a Economics. |0 http://id.loc.gov/authorities/subjects/sh85040850. | |
| 650 | 0 | |a Management science. |0 http://id.loc.gov/authorities/subjects/sh85080363. | |
| 650 | 7 | |a Control theory. |2 fast |0 (OCoLC)fst00877085. | |
| 650 | 7 | |a Economics. |2 fast |0 (OCoLC)fst00902116. | |
| 650 | 7 | |a Management science. |2 fast |0 (OCoLC)fst01007306. | |
| 650 | 7 | |a Mathematical optimization. |2 fast |0 (OCoLC)fst01012099. | |
| 776 | 0 | 8 | |i Print version: |a Tu, Pierre N.V. (Pierre Ninh Van). |t Introductory optimization dynamics. |d Berlin ; New York : Springer-Verlag, 1984 |w (OCoLC)11065267. |
| 856 | 4 | 0 | |u https://colorado.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-662-00719-8 |z Full Text (via Springer) |
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