Title :
The differential field associated to a general analytic nonlinear dynamical system
Author :
Conte, G. ; Perdon, A.M. ; Moog, C.H.
Author_Institution :
Ancona Univ., Italy
fDate :
7/1/1993 12:00:00 AM
Abstract :
A rigorous and detailed construction of the differential field K Σ⟨u,y⟩ associated, in a differential-algebraic context, to a nonlinear system Σ described in state-space form with analytic coefficients is presented. The field KΣ⟨u,y⟩ represents an input-output description of Σ, and its study is of key importance in problems concerning the input-output behavior of Σ. Technically, the basic step of the construction of KΣ⟨u,y⟩ consists in proving that the differential ideal associated to the state-evolution equation of Σ is prime
Keywords :
control system analysis; nonlinear control systems; state-space methods; analytic coefficients; control system analysis; differential field; general analytic nonlinear dynamical system; input-output description; state-evolution equation; state-space; Automatic control; Control system synthesis; Eigenvalues and eigenfunctions; Filtering theory; Linear systems; MIMO; Nonlinear dynamical systems; Output feedback; Poles and zeros; State feedback;
Journal_Title :
Automatic Control, IEEE Transactions on