Title :
A dichotomy in linear control theory
Author :
R. Wilde;P. Kokotovic
Author_Institution :
US Air Force Weapons Laboratory, Kirtland AFB, Albuquerque, NM, USA
Abstract :
A dichotomy transformation is constructed using the positive and negative definite solutions of a Riccati system. The solution of a fixed end-point optimal control problem is then approximately found by the superposition of the solutions of two independent stable initial value problems.
Keywords :
"Control theory","Symmetric matrices","Riccati equations","Optimal control","Vectors","Differential equations","Costs","Regulators"
Journal_Title :
IEEE Transactions on Automatic Control
DOI :
10.1109/TAC.1972.1099976