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001447933 0247_ $$a10.1007/978-981-16-9298-7$$2doi
001447933 035__ $$aSP(OCoLC)1334104608
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001447933 049__ $$aISEA
001447933 050_4 $$aQA402.3
001447933 08204 $$a515.642$$223/eng/20220713
001447933 1001_ $$aZaslavski, Alexander J.
001447933 24510 $$aOptimal control problems arising in mathematical economics /$$cAlexander J. Zaslavski.
001447933 260__ $$aSingapore :$$bSpringer,$$c2022.
001447933 300__ $$a1 online resource (387 pages)
001447933 336__ $$atext$$btxt$$2rdacontent
001447933 337__ $$acomputer$$bc$$2rdamedia
001447933 338__ $$aonline resource$$bcr$$2rdacarrier
001447933 4901_ $$aMonographs in mathematical economics ;$$vv. 5
001447933 504__ $$aIncludes bibliographical references and index.
001447933 5050_ $$aPreface-1. Introduction -- 2. Turnpike Conditions for Optimal Control Systems -- 3. Nonautonomous Problems with Perturbed Objective Functions -- 4. Nonautonomous Problems with Discounting -- 5. Stability of the Turnpike Phenomenon for Nonautonomous Problems -- 6. Stability of the Turnpike for Nonautonomous Problems with Discounting -- 7. Turnpike Properties for Autonomous Problems -- 8. Autonomous Problems with Perturbed Objective Functions -- 9. Stability Results for Autonomous Problems -- 10. Models with Unbounded Endogenous Economic Growth-Reference -- Index.
001447933 506__ $$aAccess limited to authorized users.
001447933 520__ $$aThis book is devoted to the study of two large classes of discrete-time optimal control problems arising in mathematical economics. Nonautonomous optimal control problems of the first class are determined by a sequence of objective functions and sequence of constraint maps. They correspond to a general model of economic growth. We are interested in turnpike properties of approximate solutions and in the stability of the turnpike phenomenon under small perturbations of objective functions and constraint maps. The second class of autonomous optimal control problems corresponds to another general class of models of economic dynamics which includes the RobinsonSolowSrinivasan model as a particular case. In Chap. 1 we discuss turnpike properties for a large class of discrete-time optimal control problems studied in the literature and for the RobinsonSolowSrinivasan model. In Chap. 2 we introduce the first class of optimal control problems and study its turnpike property. This class of problems is also discussed in Chaps. 36. In Chap. 3 we study the stability of the turnpike phenomenon under small perturbations of the objective functions. Analogous results for problems with discounting are considered in Chap. 4. In Chap. 5 we study the stability of the turnpike phenomenon under small perturbations of the objective functions and the constraint maps. Analogous results for problems with discounting are established in Chap. 6. The results of Chaps. 5 and 6 are new. The second class of problems is studied in Chaps. 79. In Chap. 7 we study the turnpike properties. The stability of the turnpike phenomenon under small perturbations of the objective functions is established in Chap. 8. In Chap. 9 we establish the stability of the turnpike phenomenon under small perturbations of the objective functions and the constraint maps. The results of Chaps. 8 and 9 are new. In Chap. 10 we study optimal control problems related to a model of knowledge-based endogenous economic growth and show the existence of trajectories of unbounded economic growth and provide estimates for the growth rate.
001447933 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed July 13, 2022).
001447933 650_0 $$aControl theory.
001447933 650_0 $$aEconomics, Mathematical.
001447933 650_0 $$aMathematical optimization.
001447933 655_0 $$aElectronic books.
001447933 655_7 $$aLlibres electrònics.$$2thub
001447933 77608 $$iPrint version:$$aZaslavski, Alexander J.$$tOptimal Control Problems Arising in Mathematical Economics.$$dSingapore : Springer, ©2022$$z9789811692970
001447933 830_0 $$aMonographs in mathematical economics ;$$vv. 5.
001447933 852__ $$bebk
001447933 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-16-9298-7$$zOnline Access$$91397441.1
001447933 909CO $$ooai:library.usi.edu:1447933$$pGLOBAL_SET
001447933 980__ $$aBIB
001447933 980__ $$aEBOOK
001447933 982__ $$aEbook
001447933 983__ $$aOnline
001447933 994__ $$a92$$bISE