Accession Number:

AD0770101

Title:

On the Lie Algebras of Nonlinear Control Systems,

Descriptive Note:

Corporate Author:

WASHINGTON UNIV ST LOUIS MO CONTROL SYSTEMS SCIENCE AND ENGINEERING

Personal Author(s):

• Elliott,David L.

Report Date:

1973-03-01

Pagination or Media Count:

16.0

Abstract:

Associated with control systems are certain Lie algebras of first-order partial differential operators. The author shows how they may be used to study controllability properties of the system and to obtain conditions for the existence of probability densities of related stochastic systems. Modified author abstract

Descriptors:

• *Control theory
• *Nonlinear systems
• Partial differential equations
• Stochastic processes
• Topology
• Tensor analysis
• Theorems

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE