DocumentCode
1845329
Title
Linear variational behaviors
Author
Cotroneo, Tommaso ; Pillai, Harish K.
Author_Institution
Math. Inst., Groningen Univ., Netherlands
Volume
1
fYear
1999
fDate
1999
Firstpage
110
Abstract
In many practical problems one encounters, especially in physics, the set of system equations can actually be obtained from one scalar function. All properties of the system trajectories are captured in this particular scalar function and so finding such a scalar function makes the study of the system far more tractable. The most common examples of such functions are the Lagrangians and the Hamiltonians. We study high order linear differential equations with constant coeffcients that can be obtained from quadratic functions of a certain form
Keywords
computability; linear differential equations; variational techniques; Hamiltonians; Lagrangians; constant coeffcients; high order linear differential equations; linear variational behaviors; quadratic functions; scalar function; system equations; system trajectories; tractable system; Computer science; Controllability; Differential equations; Lagrangian functions; Linearity; Mathematics; Physics; Polynomials; Trajectory; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location
Phoenix, AZ
ISSN
0191-2216
Print_ISBN
0-7803-5250-5
Type
conf
DOI
10.1109/CDC.1999.832759
Filename
832759
Link To Document