Details:
Title  Canonical forms for polynomial and quadratic differential operators  Author(s)  Chiaki Kojima, Paolo Rapisarda, Kiyotsugu Takaba  Type  Article in Journal  Abstract  We define the canonical representative for the equivalence class consisting of all polynomial and quadratic differential operators that take the same values on a given subspace of C ∞ ( R n , R w ) . We also examine the relation of this definition with that given in a special case in [J.C. Willems, H.L. Trentelman, On quadratic differential forms, SIAM J. Control Optim. 36 (1998) 1703–1749].  Keywords  Polynomial differential operators, Bilinear and quadratic differential forms, Gröbner bases, Behavioral system theory, Canonical forms  ISSN  01676911 
URL 
http://www.sciencedirect.com/science/article/pii/S0167691107000746 
Language  English  Journal  Systems & Control Letters  Volume  56  Number  11–12  Pages  678  684  Year  2007  Edition  0  Translation 
No  Refereed 
No 
