DIFFERENTIAL REALIZATION WITH A MINIMUM OPERATOR NORM OF A CONTROLLED DYNAMIC PROCESS
Investigation of necessary and sufficient conditions of existence of nonlinear differential realizations of controlled behavioral systems (J. C. Willems dynamic systems) is the class of quasi-linear differential equations with a minimum operator norm in a homogeneously convex Banach space has been conducted. The authors have managed to methodologically separate investigation of the problem of spectral-vector identification into the two parts: the one mapping the geometric aspect of its solution (and, in essence, presuming structural testing), and the one mapping the algebraic aspect (which implements the aspect of parametric identification).
behavioral dynamic system, differential realization with a minimum operator norm.