Linear Control Systems over Ore Algebras: Effective Algorithms for the Computation of Parametrizations
نویسندگان
چکیده
In this paper, we study linear control systems over Ore algebras. Within this mathematical framework, we can simultaneously deal with different classes of linear control systems such as time-varying ordinary differential systems, differential time-delay systems, partial differential equations, multidimensional discrete systems, etc. We give effective algorithms which check whether or not a linear system over some Ore algebra is controllable, parametrizable or flat.
منابع مشابه
Some frequency-domain approaches to the model reduction of delay systems
Controllability of a fluid in a 1-D tank p. 11 Lyapunov-Krasovskii functionals for integral delay equations p. 23 Direct method for analyzing the stability of neutral type LTI-time delayed systems p. 29 Delayed feedback control of linear systems with state jump p. 35 Improving the stability region of saturated linear systems controlled by dynamic delayed output feedback through anti-windup stra...
متن کاملUsing morphism computations for factoring and decomposing general linear functional systems
Within a constructive homological algebra approach, we study the factorization and decomposition problems for general linear functional systems and, in particular, for multidimensional linear systems appearing in control theory. Using the concept of Ore algebras of functional operators (e.g., ordinary/partial differential operators, shift operators, time-delay operators), we first concentrate o...
متن کاملConvergence of a semi-analytical method on the fuzzy linear systems
In this paper, we apply the homotopy analysis method (HAM) for solving fuzzy linear systems and present the necessary and sufficient conditions for the convergence of series solution obtained via the HAM. Also, we present a new criterion for choosing a proper value of convergence-control parameter $hbar$ when the HAM is applied to linear system of equations. Comparisons are made between the ...
متن کاملFactoring and decomposing a class of linear functional systems
Within a constructive homological algebra approach, we study the factorization and decomposition problems for a class of linear functional (determined, over-determined, under-determined) systems. Using the concept of Ore algebras of functional operators (e.g., ordinary/partial differential operators, shift operators, time-delay operators), we first concentrate on the computation of morphisms fr...
متن کامل