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Control of affine systems with memory

  • M. C. Delfour
  • S. K. Mitter
Optimal Control
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3)

Keywords

Constant Delay Algebraic Riccati Equation Affine System Optimal Feedback Control Infinite Dimensional System 
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References

  1. A. BENSOUSSAN Filtrage Optimal des Systémes Lineáires, Dunod, Paris 1971.Google Scholar
  2. A. BENSOUSSAN Filtrage Optimal des Systémes Lineáires avec retard, I.R.I.A. report INF 7118/71027, Oct. 1971.Google Scholar
  3. A. BENSOUSSAN, M.C. DELFOUR and S.K. MITTER Topics in System Theory in Infinite Dimensional Spaces, forthcoming monograph.Google Scholar
  4. A. BENSOUSSAN, M.C. DELFOUR and S.K. MITTER Optimal Filtering for Linear Stochastic Hereditary Differential Systems, Proc. 1972 IEEE Conference on Decision and Control, New Orleans, Louisiana, U.S.A., Dec. 13–15, 1972.Google Scholar
  5. M.C. DELFOUR and S.K. MITTER Hereditary Differential Systems with Constant Delays, I — General Case, J. Differential Equations, 12 (1972), 213–235.CrossRefGoogle Scholar
  6. M.C. DELFOUR and S.K. MITTER Hereditary Differential Systems with Constant Delays, II — A Class of Affine Systems and the Adjoint Problem. To appear in J. Differential Equations.Google Scholar
  7. M.C. DELFOUR and S.K. MITTER Controllability, Observability and Optimal Feedback Control of Hereditary Differential Systems, SIAM J. Control, 10 (1972), 298–328.CrossRefGoogle Scholar
  8. M.C. DELFOUR, C. McCALLA and S.K. MITTER, Stability and the Infinite-Time Quadratic Cost Problem for Linear Hereditary Differential Systems, C.R.M. Report 273, Centre de Recherches Mathématiques, Université de Montréal, Montŕeal 101, Canada; submitted to SIAM J. on Control.Google Scholar
  9. J.L. LIONS, Optimal Control of Systems Governed by Partial Differential Equations, Springer-Verlag, New York, 1971.Google Scholar
  10. H.F. VANDEVENNE, Qualitative Properties of a Class of Infinite Dimensional Systems, Doctoral Dissertation, Electrical Engineering Department, M.I.T. January 1972.Google Scholar
  11. H.F. VANDEVENNE, Controllability and Stabilizability Properties of Delay Systems, Proc. of the 1972 IEEE Decision and Control Conference, New Orleans, December 1972.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1973

Authors and Affiliations

  • M. C. Delfour
    • 1
  • S. K. Mitter
    • 2
  1. 1.Université de MontréalCanada
  2. 2.Massachusetts Institute of TechnologyUK

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