an:06112593
Zbl 1265.93117
Pommaret, Jean-Fran??ois
Poles and zeroes of nonlinear control systems
EN
Kybernetika 38, No. 5, 609-615 (2002).
00311509
2002
j
93B55 93C10 93B25
pole; zero; nonlinear control system
Summary: During the last ten years, the concepts of ``poles'' and ``zeros'' for linear control systems have been revisited by using modern commutative algebra and module theory as a powerful substitute for the theory of polynomial matrices. Very recently, these concepts have been extended to multidimensional linear control systems with constant coefficients. Our purpose is to use the methods of ``algebraic analysis'' in order to extend these concepts to the variable coefficients case and, as a byproduct, to the nonlinear situation. We also provide nontrivial explicit examples.