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References
Bensoussan, A. Filtrage optimal des systemes lineaires, Dunod, 1971.
Curtain, R.F. and Falb, P.L. Stochastic differential equations in Hilbert space, J. Diff. Eqns., 10 (1971), pp. 412–430.
Curtain, R.F. and Pritchard, A.J. The infinite dimensional Riccati equation, J. Math. Anal. Appl., 47 (1974), pp. 43–57.
Curtain, R.F. Infinite dimensional filtering, SIAM J. Control, 13 (1975), pp. 89–104.
Curtain, R.F. The infinite dimensional Riccati equation with applications to affine hereditary differential systems, SIAM J. Control, 14 (1975), pp. 951–983.
Curtain, R.F. A Kalman-Bucy filtering theory for affine hereditary differential equations, Int. Symp. on Control Theory, Numerical Methods and Computer System Modelling, June 1974, (Springer Verlag: Lecture Notes in Economics and Math. Systems, 107, 1974.)
Curtain, R.F. The infinite dimensional Riccati equation for systems defined by evolution operators, SIAM J. Control, 14 (1975) pp. 951–983.
Curtain, R.F. Estimation theory for abstract evolution equations exited by general white noise processes, SIAM J. Control, 6 (1977), pp. 1124–1150.
Curtain, R.F. Stochastic evolution equations with general white noise disturbance, J. Math. Anal. Appl., 60 (1977), pp. 570–595.
Curtain, R.F. and Ichikawa, A. The separation principle for stochastic evolution equations, SIAM J. Control, 15 (1977), p. 367.
Curtain, R.F. and Pritchard, A.J. An abstract theory for unbounded control action for distributed parameter systems, SIAM J. Control, 15 (1977), pp. 566–611.
Curtain, R.F. Linear stochastic control for distributed systems with boundary control, boundary noise and point observations, J. Appl. Math. and Opt., to appear.
Datko, R. Unconstrained control problems with quadratic cost, SIAM J. Control, 2 (1973), pp. 32–52.
Delfour, M.C. and Mitter, S.K. Hereditary differential systems with constant delays II: A class of affine systems and the adjoint problem, J. Diff. Eqns., 18 (1975), pp. 18–28.
Delfour, M.C. and Mitter, S.K. Controllability, observability and optimal feedback control of affine hereditary differential systems, SIAM J. Control, 10 (1972), pp. 298–328.
Kato, T. Abstract evolution equations of parabolic type in Banach and Hilbert spaces, Nagoya Math. J., 19 (1961), pp. 93–125.
Kato, T. and Tanabe, H. On the abstract evolution equation, Osaka Math. J., 14 (1962), pp. 107–133.
Lions, J.L. Optimal control of systems governed by partial differential equations, Springer Verlag, 1971.
Rauch, J. L2 is a continuable initial condition for Kreiss' mixed problems, Comm. Pure Appl. Math., 25 (1972), pp. 265–285.
Vinter, R.B. and Johnson, T.L. Optimal control of non symmetric hyperbolic systems in n variables on the half space, SIAM J. Control, 15 (1977), pp. 129–133.
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(1978). Time dependent systems. In: Curtain, R.F., Pritchard, A.J. (eds) Infinite Dimensional Linear Systems Theory. Lecture Notes in Control and Information Sciences, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006770
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DOI: https://doi.org/10.1007/BFb0006770
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