Title :
An upper bound on the product of eigenvalues of an optimal linear system
Author :
Martin, Clyde F.
Author_Institution :
Utah State University, Logan, Utah, USA
fDate :
2/1/1975 12:00:00 AM
Abstract :
Explicit relations between the weighting factors of a quadratic performance criterion and the closed-loop system are developed. A best possible upper bound on the product of the eigenvalues of the closed-loop system is attained.
Keywords :
Eigenvalues; Linear systems, time-invariant continuous-time; Optimal control; Eigenvalues and eigenfunctions; Lagrangian functions; Linear systems; Mathematics; NASA; Optimal control; Q measurement; Stability; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1975.1100868