The paper constructs the Laplace transform of the solution with zero initial energy for a MIMO sampled-data system containing pure time-delays in its stationary elements. The properties of the Laplace transform as a function of the complex variable are studied.
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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.
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