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H2-norm computation for stable linear continuous-time periodic systems

Lampe B. P., Obraszo M., Rosenwasser E. N.

Archives of Control Sciences

2004

Vol. 14, no. 2

147-160

The paper deals with the H2-norm of finite dimensional linear continuous-time periodic (FDLCP) systems, represented in state space. on basis of general formulae for the H2-norm significantly simpler formulae are derived under the assumption of stability of the system. the proposed method needs to compute the transition matrix on the interval (...) An example is given, where the H2-norm is determined exactly, and the proposed method turns out to be superior to other known methods.

Periodic solutions of the Riccati equation in Banach spaces

Baris J., Buraczewski A.

Demonstratio Mathematica

2003

Vol. 36, nr 2

343--353

In this paper we study the problem of the existence and the construction of periodic solutions of the Riccati equation with continuous periodic coefficients denned on the real line with values in Banach space.