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

100%

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

tom 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.

Extensions and improvements of Sherman’s and related inequalities forn-convex functions

84%

Bradanović S. I. , Pečarić J.

nr 1

936-947

This paper gives extensions and improvements of Sherman’s inequality for n-convex functions obtained by using new identities which involve Green’s functions and Fink’s identity. Moreover, extensions and improvements of Majorization inequality as well as Jensen’s inequality are obtained as direct consequences. New inequalities between geometric, logarithmic and arithmetic means are also established.

Periodic solutions of the Riccati equation in Banach spaces

84%

Baris J. , Buraczewski A.

2003

tom 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.