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Linear control theory and quasi-differential equations

  • W. N. Everitt
Original Papers

Summary

LetI be an interval of the real line, and letA andB ben×n complex-valued, Lebesgue measurable, matrix functions defined onI such thatALloc1(I) andBLloc(I). Ifx=[x1x2⋯x n ] t andu=[u1u2u n ] t are column vectors defined onI such thatxACloc1anduLloc1(I) then the linear control problem considered isx′(t)=A(t)x(t)+B(t)u(t) (t∈I) wherex is the response, andu is the control. This paper is concerned with the problem of determining necessary and sufficient conditions onA andB to make (*) fully controllable onI, without departing from the basic requirementsAL loc 1 (I) andBL loc (I)

Keywords

Control Problem Mathematical Method Control Theory Column Vector Real Line 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag 1987

Authors and Affiliations

  • W. N. Everitt
    • 1
  1. 1.Dept. of MathematicsThe UniversityBirminghamGreat Britain

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