Structural approximate controllability of linear systems: a pure graph theoretical approach. Part II: Linear systems associated to chain bud cacti and the general cacti.

• Autorzy: Sommer H.-J. , Hahn H.
• Języki publikacji: EN

Abstrakty

EN

C.T. Lin has characterized the structural controllability of a linear system by a geometrical pattern (cacti) of the associated graph. In part I of this paper, this theorem has been proved by pure graph theoretical arguments for systems that are associated to simple cacti by introducing the concepts of cycle weight order of buds and of damping control sequences. In this part of the paper, the theorem will be proved for systems associated to chain bud cacti or to general cacti. This will be done by introducing a chain bud order relation on the set of buds of these cacti and by constructing two additional control sequences, a nullator control sequence and a mixed damping nullator control sequence. This procedure is illustrated by an example including a general cactus. The results obtained prove a basis for deriving global controllability criteria of a polynomial nonlinear sampled data systems based on nonlinear bundle graphs These later results will be published in a subsequent paper.

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Systems Science
• Rocznik: 1998
• Tom: Vol. 24, nr 2
• Strony: 5--46
• Opis fizyczny: Bibliogr. 2 poz., tab. 3, rys. 10

Twórcy

autor

Sommer H.-J.

autor

Hahn H.

• University of Kassel, Department of Mechanical Engineering (FB 15), Laboratory of Control Engineering and System Dynamics, Mönchebergstr. 7, 34109 Kassel, Germany.