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TECHhTXL NOTES AND CORRESPONDENCE 745 [3] C . A. Deswr, Notes for u Second Course on Lineur Sysrems. New York: Van
 

Summary: TECHhTXL NOTES AND CORRESPONDENCE 745
[3] C . A. Deswr, Notes for u Second Course on Lineur Sysrems. New York: Van
[4] C. T. Chen, Introdvction to Lineur Syslem Theory. New York: Holt, Rinehariand
IS] 2.Luo,"Transformationsbetweencanomcallorms lor multivariablelinear constant
Nostrand,1970.
Winston,1970.
systems," IEEE Tram.Automr. Contr., vol.AC-22, pp. 252-256, 1977.
Cyclicity and Controllabilityin Linear
Time-Invariant Systems
P. J. ANTSAKLIS
Absrma-A number of results, involving the notions of contrdlability
(observability) and cyclicity in a hear time-invahnt control system, are
derived using a new basic theorem. New tests of cyclicity and contrdlabil-
ity (observabiity),together with new algorithms to evaluate the controlla-
ble (-able) modes and the minimalpolynomial are also presented.
I. INTRODUCTION
The controllability (observability) of a linear time-invariantsystem
{A , B ) and the cyclicity of a square matrix A havebeen dealt with
extensively in the literature in recent years, and many important proper-
ties have been shown using a variety of methods. In this paper, a basic

  

Source: Antsaklis, Panos - Department of Electrical Engineering, University of Notre Dame

 

Collections: Engineering