nach oben

Erschienen in:

2018 | OriginalPaper | Buchkapitel

4. Order Reduction of Dynamic Monetary Systems

verfasst von : Jeffrey Yi-Lin Forrest, Yirong Ying, Zaiwu Gong, Jinsuai Zhao, Jesus Valencia, Baohua Yang, Yong Liu

Erschienen in: Currency Wars

Verlag: Springer International Publishing

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

This chapter develops a control-theory model for the movement of money within an economic system based on changes in purchasing power of a currency by analyzing how the purchasing power changes within the economic system, and it details with the problem of how our method of reducing the order of the original control-theory model can be utilized to obtain models of reduced order that resemble the original model while still processing such important properties as observability and controllability.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Vorheriges Kapitel Systemic Representation of Economic Organizations

Nächstes Kapitel Estimating the State of Economy Through Observers

Antoulas AC, Sorensen DC, Gugercin S (2001) A survey of model reduction methods for large scale systems. In: Contemporary mathematics, vol 280. AMS Publications, Providence, pp 193–219

Bai ZJ (2002) Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems. Appl Numer Math 43(1–2):9–44CrossRef

Bejarano FJ, Zheng G (2014) Observability of linear systems with commensurate delays and unknown inputs. Automatica 50(8):2077–2083CrossRef

Bejarano FJ, Floquet T, Perruquetti W, Zheng G (2013) Observability and detectability of singular linear systems with unknown inputs. Automatica 49(3):793–800CrossRef

Benner P, Mehrmann V, Sorensen DC (2005) Dimension reduction of large-scale systems. Springer, BerlinCrossRef

Boukhobza T, Hamelin F (2013) Discrete mode observability of structured switching descriptor linear systems: a graph-theoretic approach. Automatica 49(10):3042–3048CrossRef

Casti J (1987) Linear dynamical systems. Academic Press, New York

Dehghani M, Goel L, Li WY (2014) PMU based observability reliability evaluation in electric power systems. Electr Power Syst Res 116:347–354CrossRef

Dornbusch R (1976) Expectations and exchange rate dynamics. J Polit Econ 84(6):1161–1176CrossRef

Dungey M, Jan PAM, Lestano J (2015) The internationalisation of financial crises: banking and currency crises 1883–2008. North Am J Econ Financ 32:29–47CrossRef

Forrest J (2014) A systems perspective on financial systems. CRC Press, an imprint of Taylor and Francis, Balkema

Forrest J, Hopkins Z, Liu SF (2013a) Currency wars and a possible self-defense (I): how currency wars take place. Adv Syst Sci Appl 13:198–217

Forrest J, Hopkins Z, Liu SF (2013b) Currency wars and a possible self-defense (II): a plan of self-protection. Adv Syst Sci Appl 13(4):298–315

Freund RW (2003) Model reduction methods based on Krylov subspaces. Acta Numer 12:267–319CrossRef

Gao ZH, Xu L (2009) Aggregated reduction model based on partial block observability matrix. International conference on computational intelligence and software engineering, p 12

Glick R, Hutchison M (2005) Capital controls and exchange rate instability in developing economies. J Int Money Financ 24:387–412CrossRef

Grimme EJ (1997) Krylov projection methods for model reduction, Ph.D. Thesis, ECE Dept, University of Illinois, Urbana-Champaign

Gugercin S (2002) Projection methods for model reduction of large-scale dynamical systems, Ph.D. Dissertation, ECE Dept. Rice University, December 2002

Guo JQ, Zhou MR (2003) Economic effects of capital flows under flexible exchange rate system – a dynamic analysis based on a modified Dombuch model. Econ Res (5):475–480

Hall AD, Fagen RE (1956) Definitions of systems. Gen Syst 1:18–28

Kaplan E, Rodrik D (2001) Did the Malaysia capital controls work? NBER Working Paper, 8142

Kawano Y, Ohtsuka T (2013) Observability at an initial state for polynomial systems. Automatica 49(5):1126–1136CrossRef

Kim SY (2001) International transmission of U.S. monetary policy shocks: evidence from VAR’s. J Monet Econ 48(2):339–372CrossRef

Lin Y (1987) A model of general systems. Math Model Int J 9:95–104CrossRef

Lin Y (1988a) An application of systems analysis in sociology. Cybern Syst Int J 19:267–278CrossRef

Lin Y (1989) Multi-level systems. Int J Syst Sci 20:1875–1889CrossRef

Lin Y (1999) General systems theory: a mathematical approach. Plenum and Kluwer Academic Publishers, New York

O’Sullivan-Greene E, Mareels I, Kuhlmann L, Burkitt A (2014) Observability limits for networked oscillators. Automatica 50(4):1087–1099CrossRef

Rafiq S (2013) Sources of time-varying trade balance and real exchange rate dynamics in East Asia. J Jpn Int Econ 29:117–141CrossRef

Rashidi F, Abiri E, Niknam T, Salehi MR (2015) Optimal placement of PMUs with limited number of channels for complete topological observability of power systems under various contingencies. Int J Electr Power Energy Syst 67:125–137CrossRef

Rivadeneira PS, Moog CH (2015) Observability criteria for impulsive control systems with applications to biomedical engineering processes. Automatica 55:125–131CrossRef

Siebrand JC, Buiter WH, Flemming JS (1988) Macroeconomic modelling for economic policy. In: Contributions to economic analysis, vol 178, pp 99–135

Skidelsky R (2015) Keynes, John Maynard (1883–1946). In: Wright J (ed) International encyclopedia of the social & behavioral sciences, 2nd edn. Elsevier, pp 14–19

Tian WH (2013) Study on the properties of General Delta operators. Press of Qingdao University, Qingdao

Vine SL, Chen BQ, Polak J (2014) Does the income elasticity of road traffic depend on the source of income? Transp Res A Policy Pract 67:15–29CrossRef

Wang LS, Xia YQ (2015) Observability analysis of Mars entry integrated navigation. Adv Space Res 56(5):952–963CrossRef

Wang XB, Yu CY, Zhang JH (2009) Can controlling capital flow suppress currency crises? – an empirical analysis based on panel logit model. Res Financ Econ Issues 3:64–69

Wilhelmus HA, Schilders HA, van der Vorst JR (2008) Model order reduction: theory, research aspects and applications. Springer, Berlin

Zhang LQ, Zhang QH (2015) Observability conservation by output feedback and observability Gramian bounds. Automatica 60:38–42CrossRef

Zhou T (2015) On the controllability and observability of networked dynamic systems. Automatica 52:63–75CrossRef

Zhou MR, Guo JQ (2004) Abandonment costs, government preference, and control on capital flow – a prudent opportunism exchange rate regime choice model. Econ Res (5):423–430

Zhou C, Chen MY, Zhu DS (2002a) The controllability of general systems. J Huazhong University of Science and Technology (Nature Science) 30(8):34–36

Zhou D, Li S, David KT (2002b) The impact of FDI on the productivity of domestic firms: the case of China. Int Bus Rev 11(4):465–484CrossRef

Titel: Order Reduction of Dynamic Monetary Systems
verfasst von: Jeffrey Yi-Lin Forrest
Yirong Ying
Zaiwu Gong
Jinsuai Zhao
Jesus Valencia
Baohua Yang
Yong Liu
Verlag: Springer International Publishing
Buch: Currency Wars
Print ISBN: 978-3-319-67764-4

Electronic ISBN: 978-3-319-67765-1

Copyright-Jahr: 2018
DOI: https://doi.org/10.1007/978-3-319-67765-1_4