Existence of Solutions of a Riccati Differential System from a General Cumulant Control Problem

Joint Authors

Liberty, Stanley R.
Mou, Libin

Source

International Journal of Differential Equations

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-12-25

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Mathematics

Abstract EN

We study a system of infinitely many Riccati equations that arise from a cumulant control problem, which is a generalization of regulator problems, risk-sensitive controls, minimal cost variance controls, and k-cumulant controls.

We obtain estimates for the existence intervals of solutions of the system.

In particular, new existence conditions are derived for solutions on the horizon of the cumulant control problem.

American Psychological Association (APA)

Liberty, Stanley R.& Mou, Libin. 2011. Existence of Solutions of a Riccati Differential System from a General Cumulant Control Problem. International Journal of Differential Equations،Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-463176

Modern Language Association (MLA)

Liberty, Stanley R.& Mou, Libin. Existence of Solutions of a Riccati Differential System from a General Cumulant Control Problem. International Journal of Differential Equations No. 2011 (2011), pp.1-13.
https://search.emarefa.net/detail/BIM-463176

American Medical Association (AMA)

Liberty, Stanley R.& Mou, Libin. Existence of Solutions of a Riccati Differential System from a General Cumulant Control Problem. International Journal of Differential Equations. 2011. Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-463176

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-463176