IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/57430.html
   My bibliography  Save this paper

On Infinite Dimensional Linear-Quadratic Problem with Fixed Endpoints. Continuity Question

Author

Listed:
  • Przyłuski, K. Maciej

Abstract

In a Hilbert space setting, necessary and sufficient conditions for the minimum norm solution u to the equation Su = Rz to be continuously dependent on z are given. These conditions are used to study continuity of the minimum energy and linear-quadratic control problems for infinite dimensional linear systems with fixed endpoints.

Suggested Citation

  • Przyłuski, K. Maciej, 2014. "On Infinite Dimensional Linear-Quadratic Problem with Fixed Endpoints. Continuity Question," MPRA Paper 57430, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:57430
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/57430/1/MPRA_paper_57430.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x, December.
    2. Salvatore Federico, 2011. "A stochastic control problem with delay arising in a pension fund model," Finance and Stochastics, Springer, vol. 15(3), pages 421-459, September.
    3. Sent,Esther-Mirjam, 2006. "The Evolving Rationality of Rational Expectations," Cambridge Books, Cambridge University Press, number 9780521027717, November.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Giat, Yahel & Subramanian, Ajay, 2013. "Dynamic contracting under imperfect public information and asymmetric beliefs," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2833-2861.
    2. Xavier Raurich & Thomas Seegmuller, 2017. "Growth and Bubbles: The Interplay between Productive Investment and the Cost of Rearing Children," Working Papers halshs-01563555, HAL.
    3. Karantounias, Anastasios G., 2023. "Doubts about the model and optimal policy," Journal of Economic Theory, Elsevier, vol. 210(C).
    4. Feigenbaum, James, 2008. "Can mortality risk explain the consumption hump?," Journal of Macroeconomics, Elsevier, vol. 30(3), pages 844-872, September.
    5. Bora Durdu & Enrique G. Mendoza, 2004. "Putting the brakes on Sudden Stops: the financial frictions - moral hazard tradeoff of asset price guarantees," Proceedings, Federal Reserve Bank of San Francisco, issue Jun.
    6. Grochulski, Borys & Zhang, Yuzhe, 2011. "Optimal risk sharing and borrowing constraints in a continuous-time model with limited commitment," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2356-2388.
    7. Piero Gottardi & Atsushi Kajii & Tomoyuki Nakajima, 2015. "Optimal Taxation and Debt with Uninsurable Risks to Human Capital Accumulation," American Economic Review, American Economic Association, vol. 105(11), pages 3443-3470, November.
    8. Espino, Emilio & González Rozada, Martín, 2013. "Normative Fiscal Policy and Growth: Some Quantitative Implications for the Chilean Economy," IDB Publications (Working Papers) 4648, Inter-American Development Bank.
    9. Aaron Schiff & Martin Browning & John Kennes, 2005. "Lots of Heterogeneity in a Matching Model," 2005 Meeting Papers 799, Society for Economic Dynamics.
    10. Marvin Goodfriend, 2004. "Monetary policy in the new neoclassical synthesis : a primer," Economic Quarterly, Federal Reserve Bank of Richmond, vol. 90(Sum), pages 21-45.
    11. Salyer, Kevin D., 2007. "Macroeconomic priorities and crash states," Economics Letters, Elsevier, vol. 94(1), pages 64-70, January.
    12. Shouqiang Wang & Peng Sun & Francis de Véricourt, 2016. "Inducing Environmental Disclosures: A Dynamic Mechanism Design Approach," Operations Research, INFORMS, vol. 64(2), pages 371-389, April.
    13. Miao, Jianjun & Zhang, Yuzhe, 2015. "A duality approach to continuous-time contracting problems with limited commitment," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 929-988.
    14. Günther Rehme, 2023. "Capital depreciation allowances, redistributive taxation, and economic growth," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 25(1), pages 168-195, February.
    15. Mikhail Golosov & Aleh Tsyvinski, 2007. "Optimal Taxation with Endogenous Insurance Markets," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(2), pages 487-534.
    16. Matthew Baker & Thomas Miceli, 2005. "Credible Criminal Enforcement," European Journal of Law and Economics, Springer, vol. 20(1), pages 5-15, July.
    17. Mandler, Martin, 2009. "In search of robust monetary policy rules - Should the Fed look at money growth or stock market performance?," Journal of Macroeconomics, Elsevier, vol. 31(2), pages 345-361, June.
    18. Sent, Esther-Mirjam, 2004. "The legacy of Herbert Simon in game theory," Journal of Economic Behavior & Organization, Elsevier, vol. 53(3), pages 303-317, March.
    19. McCrary, Justin & Lee, David S., 2009. "The Deterrence Effect of Prison: Dynamic Theory and Evidence," Berkeley Olin Program in Law & Economics, Working Paper Series qt2gh1r30h, Berkeley Olin Program in Law & Economics.
    20. Joydeep Bhattacharya & Joseph Haslag & Antoine Martin & Rajesh Singh, 2008. "Who Is Afraid Of The Friedman Rule?," Economic Inquiry, Western Economic Association International, vol. 46(2), pages 113-130, April.

    More about this item

    Keywords

    Minimum norm problem; linear-quadratic control and linear-quadratic economies; controllability and approximate controllability; null-controllability; continuity of optimal control.;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • E60 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - General

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:57430. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.