Convergence Properties of Riccati Equation Solutions

Brian D. Anderson; Jofin B. Moore

doi:10.1109/TAC.1968.1099051

Convergence Properties of Riccati Equation Solutions

Brian D. Anderson, Jofin B. Moore

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

Existence results are developed for Riccati equations. In particular, it is shown that the existence of one solution to a Riccati equation implies the existence of a whole family of solutions whose initial condition lies in a cone determined by the initial condition associated with the known solution.

Original language	English
Pages (from-to)	732-733
Number of pages	2
Journal	IEEE Transactions on Automatic Control
Volume	13
Issue number	6
DOIs	https://doi.org/10.1109/TAC.1968.1099051
Publication status	Published - Dec 1968
Externally published	Yes

Access to Document

10.1109/TAC.1968.1099051

Cite this

@article{68023fccb89945188ee0f16c3c40e37a,

title = "Convergence Properties of Riccati Equation Solutions",

abstract = "Existence results are developed for Riccati equations. In particular, it is shown that the existence of one solution to a Riccati equation implies the existence of a whole family of solutions whose initial condition lies in a cone determined by the initial condition associated with the known solution.",

author = "Anderson, \{Brian D.\} and Moore, \{Jofin B.\}",

year = "1968",

month = dec,

doi = "10.1109/TAC.1968.1099051",

language = "English",

volume = "13",

pages = "732--733",

journal = "IEEE Transactions on Automatic Control",

issn = "0018-9286",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "6",

}

TY - JOUR

T1 - Convergence Properties of Riccati Equation Solutions

AU - Anderson, Brian D.

AU - Moore, Jofin B.

PY - 1968/12

Y1 - 1968/12

N2 - Existence results are developed for Riccati equations. In particular, it is shown that the existence of one solution to a Riccati equation implies the existence of a whole family of solutions whose initial condition lies in a cone determined by the initial condition associated with the known solution.

AB - Existence results are developed for Riccati equations. In particular, it is shown that the existence of one solution to a Riccati equation implies the existence of a whole family of solutions whose initial condition lies in a cone determined by the initial condition associated with the known solution.

UR - https://www.scopus.com/pages/publications/79960738556

U2 - 10.1109/TAC.1968.1099051

DO - 10.1109/TAC.1968.1099051

M3 - Article

AN - SCOPUS:79960738556

SN - 0018-9286

VL - 13

SP - 732

EP - 733

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 6

ER -

Convergence Properties of Riccati Equation Solutions

Abstract

Access to Document

Other files and links

Fingerprint

Cite this