7 Structural Properties of Linear Systems – Part II: Structure at Infinit

  • Henri Bourlès
Part of the Lecture Notes in Control and Information Science book series (LNCIS, volume 328)


This chapter is the sequel of [7]. Its topic is the structure at infinity of discrete and continuous linear time-varying systems in a unified approach. In the time-invariant case, the linear systems in [7] are implicitly assumed to be perpetually existing and the smoothness of their behavior is not studied. In practice, however, that behavior must be sufficiently smooth (to avoid undesirable saturations of the variables, or even the destruction of the system), and the system has a limited useful life. These constraints can be taken into account by studying the structure at infinity of the system under consideration. As this system is existing during a limited period, it is called a temporal system [8]. A list of errata and addenda for [7] is given at the end of the chapter.


Temporal System Impulsive Behavior Impulsive System Elementary Divisor Transmission Pole 
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Authors and Affiliations

  • Henri Bourlès
    • 1
  1. 1.SATIE, Ecole Normale Supérieure de Cachan and Conservatoire National des Arts et Métiers, 61 avenue du Président Wilson, 94230 CachanFrance

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