The explicit solution of the unnormalized conditional probability equation of a one-dimensional linear system

Xi Ren Cao

doi:10.1016/0167-6911(83)90033-6

The explicit solution of the unnormalized conditional probability equation of a one-dimensional linear system

Xi Ren Cao^*

^*Corresponding author for this work

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

Abstract

The unnormalized conditional probability equation of a one-dimensional linear system is solved by using the Lie algebra associated with the system. The explicit form of the conditional probability with arbitrary initial distribution is obtained.

Original language	English
Pages (from-to)	13-22
Number of pages	10
Journal	Systems and Control Letters
Volume	3
Issue number	1
DOIs	https://doi.org/10.1016/0167-6911(83)90033-6
Publication status	Published - Jun 1983
Externally published	Yes

Keywords

Explicit solution
Exponential of operators
Lie algebra
Unnormalized conditional density function

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10.1016/0167-6911(83)90033-6

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title = "The explicit solution of the unnormalized conditional probability equation of a one-dimensional linear system",

abstract = "The unnormalized conditional probability equation of a one-dimensional linear system is solved by using the Lie algebra associated with the system. The explicit form of the conditional probability with arbitrary initial distribution is obtained.",

keywords = "Explicit solution, Exponential of operators, Lie algebra, Unnormalized conditional density function",

author = "Cao, \{Xi Ren\}",

year = "1983",

month = jun,

doi = "10.1016/0167-6911(83)90033-6",

language = "English",

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AU - Cao, Xi Ren

PY - 1983/6

Y1 - 1983/6

N2 - The unnormalized conditional probability equation of a one-dimensional linear system is solved by using the Lie algebra associated with the system. The explicit form of the conditional probability with arbitrary initial distribution is obtained.

AB - The unnormalized conditional probability equation of a one-dimensional linear system is solved by using the Lie algebra associated with the system. The explicit form of the conditional probability with arbitrary initial distribution is obtained.

KW - Explicit solution

KW - Exponential of operators

KW - Lie algebra

KW - Unnormalized conditional density function

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:A1983QX84700003

UR - https://www.scopus.com/pages/publications/50849154404

U2 - 10.1016/0167-6911(83)90033-6

DO - 10.1016/0167-6911(83)90033-6

M3 - Journal Article

SN - 0167-6911

VL - 3

SP - 13

EP - 22

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 1

ER -

The explicit solution of the unnormalized conditional probability equation of a one-dimensional linear system

Abstract

Keywords

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