Reduction of Linear Functional Systems using Fuhrmann's Equivalence
نویسندگان
چکیده
منابع مشابه
Serre's Reduction of Linear Functional Systems
Serre’s reduction aims at reducing the number of unknowns and equations of a linear functional system (e.g., system of partial differential equations, system of differential time-delay equations, system of difference equations). Finding an equivalent representation of a linear functional system containing fewer equations and fewer unknowns generally simplifies the study of its structural proper...
متن کاملStructural Stabilization of Linear 2D Discrete Systems using Equivalence Transformations
We consider stability and stabilization issues for linear two-dimensional (2D) discrete systems. We give a general definition of structural stability for all linear 2D discrete systems which coincides with the existing definitions in the particular cases of the classical Roesser and Fornasini-Marchesini discrete models. We study the preservation of the structural stability by equivalence transf...
متن کاملIsomorphisms and Serre’s reduction of linear functional systems
Within the algebraic analysis approach to linear systems theory, a behaviour is the dual of the left module finitely presented by the matrix of functional operators defining the linear functional system. In this talk, we give an explicit characterization of isomorphic finitely presented modules, i.e., of isomorphic behaviours, in terms of certain inflations of their presentation matrices. Fitti...
متن کاملEquivalence and Reduction of Delay-Differential Systems
A new direct method is presented which reduces a given high-order representation of a control system with delays to a firstorder form that is encountered in the study of neutral delay-differential systems. Using the polynomial system description (PMD) setting due to Rosenbrock, it is shown that the transformation connecting the original PMD with the first-order form is Fuhrmann’s strict system ...
متن کاملReduction and transfer equivalence of nonlinear control systems: unification and extension via pseudo-linear algebra
The paper applies the pseudo-linear algebra to unify the results on reducibility, reduction and transfer equivalence for continuousand discrete-time nonlinear control systems. The necessary and sufficient condition for reducibility of nonlinear input-output equation is presented in terms of the greatest common left factor of two polynomials describing the behaviour of the ‘tangent linearized sy...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Sultan Qaboos University Journal for Science [SQUJS]
سال: 2016
ISSN: 2414-536X,1027-524X
DOI: 10.24200/squjs.vol21iss1pp64-68