Title :
The initial value problem for high order linear differential systems
Author :
Cotroneo, Tommaso ; Willems, Jan C.
Author_Institution :
Math. Inst., Univ. of Groningen, Groningen, Netherlands
fDate :
Aug. 31 1999-Sept. 3 1999
Abstract :
In this paper we derive conditions under which the system of high order differential algebraic equations R(d/dt) w = M (d/dt) f in the unknown w admits a (unique) solution satisfying initial conditions on the w´s specified by S (d/dt) w(0) = Ta with T a real matrix and a a real vector. The conditions we derive are of algebraic nature and rely on properties of modules over the polynomial ring R[ξ]. We also describe constructive algorithms which allow to check the given conditions.
Keywords :
differential algebraic equations; initial value problems; linear systems; matrix algebra; modelling; polynomials; vectors; high order differential algebraic equations; high order linear differential systems; initial value problem; matrix; modeling; polynomial ring; vector; Algebra; Cogeneration; Mathematical model; Polynomials; Silicon; Standards; Behaviors; Differential Systems; Gröbner Bases; initial value problems;
Conference_Titel :
Control Conference (ECC), 1999 European
Conference_Location :
Karlsruhe
Print_ISBN :
978-3-9524173-5-5