A CONTROLLABILITY THEORY FOR NONLINEAR SYSTEMS WITH APPLICATIONS.
Abstract
A Liapunov-like approach to the controllability of nonlinear dynamic systems is presented. A theory is developed which yields sufficient conditions for complete controllability for some classes of nonlinear systems; feedback controllers which drive the systems to desired terminal conditions, at a specified final time, are also obtained. Well-known controllability conditions for linear dynamic systems are derived using this general controllability theory. An uncontrollability theory, based also upon Liapunov-like notions, is presented; this yields sufficiency conditions for uncontrollability for some types of nonlinear systems. Relationships of the theories to other nonlinear controllability approaches are indicated. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1969
- Accession Number
- AD0693534
Entities
People
- David H. Jacobson
- Stanley B. Gershwin
Organizations
- Harvard University