• Published 1997

Well-Posed Discrete Time Linear Systems and Their Feedbacks

@inproceedings{Malinen1997WellPosedDT,
  title={Well-Posed Discrete Time Linear Systems and Their Feedbacks},
  author={Jarmo Malinen},
  year={1997}
}
In this paper we give definitions and basic results concerning various feedback and stability properties of the linear systems built around the following system of autonomous difference equations { xj+1 = Axj + Buj, yj = Cxj + Duj , j = 0,±1 ± 2 . . . Here uj ∈ U , xj ∈ H and yj ∈ Y (all of these are possibly infinite dimensional Hilbert spaces), and A, B, C and D are bounded linear operators. In the companion paper [6] we develop a Riccati equation theory for a minimax control problem defined… CONTINUE READING

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