Algebraic systems theory towards stabilization under parametrical and degree changes in the polynomial matrices of linear mathematical models.

Sen, Manuel de la. "Algebraic systems theory towards stabilization under parametrical and degree changes in the polynomial matrices of linear mathematical models.." Stochastica 12.2-3 (1988): 167-196. <http://eudml.org/doc/38998>.

@article{Sen1988,
abstract = {This paper deals with the stabilization of the linear time-invariant finite dimensional control problem specified by the following linear spaces and subspaces on C: χ (state space) = χ* ⊕ χd, U (input space) = U1 ⊕ U2, Y (output space) = Y1 + Y2, together with the linear mappings: Qs = χ x U x [0,t\} --&gt; χ associated with the evolution equation of the C0-semigroup S(t) generated by the matrices, of real and complex entries A belonging to L(χ,χ) and B belonging to L(U,χ) of a given differential system. The stabilization for variations in the values of the parameters and structures of the above matrices with respect to a nominal system (of state space χ*) is investigated. The study is made in the context of algebraic systems theory and it includes the variation of the degrees, but not of the orders, of the associated polynomial matrices with respect to the nominal ones.},
author = {Sen, Manuel de la},
journal = {Stochastica},
keywords = {Sistemas de control; Ecuaciones diferenciales ordinarias; Estabilización; evolution equation; variation of the degrees; time-invariant},
language = {eng},
number = {2-3},
pages = {167-196},
title = {Algebraic systems theory towards stabilization under parametrical and degree changes in the polynomial matrices of linear mathematical models.},
url = {http://eudml.org/doc/38998},
volume = {12},
year = {1988},
}

TY - JOUR
AU - Sen, Manuel de la
TI - Algebraic systems theory towards stabilization under parametrical and degree changes in the polynomial matrices of linear mathematical models.
JO - Stochastica
PY - 1988
VL - 12
IS - 2-3
SP - 167
EP - 196
AB - This paper deals with the stabilization of the linear time-invariant finite dimensional control problem specified by the following linear spaces and subspaces on C: χ (state space) = χ* ⊕ χd, U (input space) = U1 ⊕ U2, Y (output space) = Y1 + Y2, together with the linear mappings: Qs = χ x U x [0,t} --&gt; χ associated with the evolution equation of the C0-semigroup S(t) generated by the matrices, of real and complex entries A belonging to L(χ,χ) and B belonging to L(U,χ) of a given differential system. The stabilization for variations in the values of the parameters and structures of the above matrices with respect to a nominal system (of state space χ*) is investigated. The study is made in the context of algebraic systems theory and it includes the variation of the degrees, but not of the orders, of the associated polynomial matrices with respect to the nominal ones.
LA - eng
KW - Sistemas de control; Ecuaciones diferenciales ordinarias; Estabilización; evolution equation; variation of the degrees; time-invariant
UR - http://eudml.org/doc/38998
ER -