Title :
On stabilizing solutions to the Riccati differential equation
Author :
O´Brien, R.T., Jr.
Author_Institution :
US Naval Acad., Annapolis, MD
Abstract :
Sufficient conditions are presented for the existence of a stabilizing solution to a Riccati differential equation using the notion of a pole set for a time-varying state equation previously defined by the author (1997). The results presented in this paper supplement the work of Ravi et al. (1992) and generalize the methods used in the investigation of stabilizing solutions to the algebraic Riccati equation
Keywords :
H∞ control; Riccati equations; differential equations; poles and zeros; stability; time-varying systems; Riccati differential equation; algebraic Riccati equation; pole set; stabilizing solutions; sufficient conditions; time-varying state equation; Closed loop systems; Differential algebraic equations; Differential equations; Eigenvalues and eigenfunctions; Riccati equations; Stability; Sufficient conditions; Systems engineering and theory; Time varying systems; Weapons;
Conference_Titel :
System Theory, 1998. Proceedings of the Thirtieth Southeastern Symposium on
Conference_Location :
Morgantown, WV
Print_ISBN :
0-7803-4547-9
DOI :
10.1109/SSST.1998.660023
