Title :
Positivity and storage functions for quadratic differential forms
Author :
Trentelman, Harry L. ; Williems, J.C.
Author_Institution :
Math. Inst., Groningen Univ., Netherlands
Abstract :
Differential equations and one-variable polynomial matrices play an essential role in describing dynamics of systems. When studying functions of the dynamical variables or specifying performance criteria in optimal control, we invariably encounter quadratic expressions in the variables and their derivatives. Two-variable polynomial matrices are the proper mathematical tool to express these quadratic functionals. We illustrate that dynamical equations expressed through one-variable polynomial matrices fit the functionals expressed through two-variable polynomial matrices
Keywords :
differential equations; dynamics; observability; optimal control; polynomial matrices; differential equations; observability; optimal control; polynomial matrices; positivity; quadratic differential forms; quadratic functionals; storage functions; system dynamics; Artificial intelligence; Circuit theory; Counting circuits; Differential equations; Eigenvalues and eigenfunctions; Mathematics; Matrix decomposition; Optimal control; Polynomials; Symmetric matrices;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.577319
