, Volume 3, Issue 1, pp 3–6 | Cite as

A differential equation for the minors of the state-transition matrix of linear systems

  • Giuseppe Basile
  • Giovanni Marro


A differential equation for the minors of the state transition matrix of linear time-invariant systems is established.

An example is then presented, where the differential equation is employed in order to check the existence of the extremal control of a linear system with a performance index given by the integral of a quadratic form.


Differential Equation Mechanical Engineer State Transition Linear System Civil Engineer 
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.


Si stabilisce un'equazione differenziale per i minori della matrice di transizione dei sistemi lineari stazionari.

Si illustra quindi un esempio, in cui tale equazione differenziale viene impiegata per verificare l'esistenza del controllo estremale di un sistema lineare con indice di comportamento dato dall'integrale di una forma quadratica.


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Copyright information

© Tamburini Editore s.p.a 1966

Authors and Affiliations

  • Giuseppe Basile
    • 1
  • Giovanni Marro
    • 2
  1. 1.Istituto di ElettrotecnicaUniversità di GenovaItaly
  2. 2.Centro Calcoli e ServomeccanismiUniversità di BolognaItaly

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