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Z. Artstein and A. Leizarowitz, Tracking periodic signals with the overtaking criterion, IEEE Trans. Automat. Contr., Vol. AC-30, 1123–1126, 1985.
V. Barbu and G. Da Prato, Hamilton-Jacobi Equations in Hilbert Spaces, Pitman, London, 1983.
F. Colonius, Optimal periodic control, Report n. 140, Forschungsschwerpunkt Dynamische Systeme, Universität Bremen, Oct. 1985.
R.F. Curtain and A.J. Pritchard, Infinite Dimensional Linear Systems Theory, LN in Control Inf Sci., 8(1978), Springer-Verlag, New York.
G. Da Prato, Quelques résultats d'existence, unicité et regularité pour un problème de la théorie du contrôle, J. Math. Pures Appl., 52(1973), 353–375.
G. Da Prato, Synthesis of optimal control for an infinite dimensional problem, SIAM J. Control Optimiz., 25(1987), 706–714.
G. Da Prato, Équations aux derivées partielles stochastiques et applications, R.I. N.148, Centre de Mathématiques Appliquées, Ecole Polytechnique, France, 1986.
G. Da Prato and A. Ichikawa, Stability and quadratic control for linear stochastic equations with unbounded coefficients, Bollettino U.M.I., (6) 4-B(1985), 987–1001.
G. Da Prato and A. Ichikawa, Optimal control of linear systems with almost periodic inputs, SIAM J. Control Optimiz., 25(1987), 1007–1019.
G. Da Prato and A. Ichikawa, Optimal control for linear periodic systems, Appl. Math. Optim., to appear.
G. Da Prato and A. Ichikawa, Liapunov equations for time-varying linear systems, Systems Control Letters, 9(1987), 165–172.
J. Hale, Theory of Functional Differential Equations, Springer-Verlag, New York, 1977.
A. Ichikawa, Optimal control of a linear stochastic evolution equation with state and control dependent noise, Proc. IMA Conference "Recent Theoretical Developments in Control", Leicester, U.K., Academic Press, New York, 1978, 383–401.
A. Ichikawa, Dynamic programming approach to stochastic evolution equations, SIAM J. Control Optimiz., 17(1979), 162–174.
A. Ichikawa, Bounded solutions and periodic solutions of a linear stochastic evolution equation, 5th Japan-USSR Symposium on Probability, Kyoto, Japan, 1986, LN in Math., to appear.
A. Ichikawa, Stability of Flexible systems, IMACS International Symposium on modelling and Simulation of Distributed Parameter Systems, Hiroshima, Japan, 1987.
T. Morozan, Periodic solutions of affine stochastic differential equations, Stoch. Anal. Appl., 4(1986), 87–110.
A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York, 1983.
J.M. Schumacher, A direct approach to compensator design for distributed parameter systems, SIAM J. Control Optim., 21(1983), 823–836.
H. Tanabe, Equations of Evolution, Pitman, London, 1979.
J. Zabczyk, Remarks on the algebraic Riccati equation in Hilbert space, Appl. Math. Optim., 2(1976), 251–258.
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© 1988 International Federation for Information Processing
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Ichikawa, A. (1988). Stability and control of linear periodic systems. In: Iri, M., Yajima, K. (eds) System Modelling and Optimization. Lecture Notes in Control and Information Sciences, vol 113. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0042775
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DOI: https://doi.org/10.1007/BFb0042775
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