Geodesic
Continuous-time periodic systems in $H_2$ and $H_\infty$. Part II: State feedback problems
Kybernetika, Tome 36 (2000) no. 3, pp. 329-350 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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This paper deals with some state-feedback $H_2/H_\infty $ control problems for continuous time periodic systems. The derivation of the theoretical results underlying such problems has been presented in the first part of the paper. Here, the parametrization and optimization problems in $H_2$, $H_\infty $ and mixed $H_2/H_\infty $ are introduced and solved.
This paper deals with some state-feedback $H_2/H_\infty $ control problems for continuous time periodic systems. The derivation of the theoretical results underlying such problems has been presented in the first part of the paper. Here, the parametrization and optimization problems in $H_2$, $H_\infty $ and mixed $H_2/H_\infty $ are introduced and solved.
Classification : 49N20, 93B36, 93B52, 93C25
Keywords: state-feedback control problem 
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     title = {Continuous-time periodic systems in $H_2$ and $H_\infty$. {Part} {II:} {State} feedback problems},
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Colaneri, Patrizio. Continuous-time periodic systems in $H_2$ and $H_\infty$. Part II: State feedback problems. Kybernetika, Tome 36 (2000) no. 3, pp. 329-350. http://geodesic.mathdoc.fr/item/KYB_2000_36_3_a4/

[1] Doyle J. C., Glover K., Khargonekaar P. P., Francis B. A.: State–space solutions to standard $H_2$ and $H_{\infty }$ control problems. IEEE Trans. Automat. Control 34 (1989), 831–846 | DOI | MR

[2] Mita T., Zhi L. Kang, Ohushi S.: Correction of the FI result in $H_\infty $ control and parametrization of $H_\infty $ state feedback controllers. IEEE Trans. Automat. Control 38 (1993), 343–347 | DOI | MR

[3] Colaneri P., Geromel J. C., Locatelli A.: Control Systems Design – A $H_2$ and $H_\infty $ Viewpoint. Academic Press, New York 1997

[4] Colaneri P.: Continuous–time periodic systems in $H_2$ and $H_{\infty }$ – Part I: Theoretical aspects. Kybernetika 36 (2000), 211–242 | MR

[5] Bittanti S., Colaneri P., Nicolao G. De: The periodic Riccati equation. In: The Riccati Equation (S. Bittanti, A. J. Laub and J. C. Willems, eds.), Springer Verlag, Berlin 1990, pp. 127–162 | MR

[6] Bittanti S.: Deterministic and stochastic linear periodic systems. In: Time Series and Linear Systems (S. Bittanti, ed.), Springer Verlag, Berlin 1986, pp. 141–182 | MR

[7] Bolzern P., Colaneri P.: The periodic Lyapunov equation. SIAM J. Matrix Analysis and Application 4 (1988), 499–512 | DOI | MR | Zbl