On local and global exponential stability of nonlinear systems Conference Paper

abstract

• We seek sufficient conditions that translate local exponential stability of (the origin of) a nonlinear system to global exponential stability. We provide examples of nonlinear systems that have a unique equilibrium point, and is locally exponentially stable, but have limit cycles or finite escape solutions. We present results for a class of triangular nonlinear systems, which guarantee global exponential stability based on local exponential stability.

name of conference

• Proceedings of the 1997 American Control Conference (Cat. No.97CH36041)

authors

• Darbha, Swaroop

published proceedings

• PROCEEDINGS OF THE 1997 AMERICAN CONTROL CONFERENCE, VOLS 1-6

author list (cited authors)

• Swaroop, D., & Hedrick, J. K.

citation count

• 1

complete list of authors

• Swaroop, D||Hedrick, JK

publication date

• January 1997

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• Proceedings of the ... American Control Conference. American Control Conference  Journal

keywords

• Asymptotic Stability
• Finite Escape Solutions
• Global Exponential Stability
• H Infinity Control
• Jacobian Matrices
• Limit Cycles
• Limit-cycles
• Linear Systems
• Local Exponential Stability
• Nonlinear Control Systems
• Nonlinear Systems
• Stability Analysis
• State-space Methods
• Sufficient Conditions
• Triangular Nonlinear Systems
• Unique Equilibrium Point

Digital Object Identifier (DOI)

• 10.1109/acc.1997.612014

International Standard Book Number (ISBN) 10

• 0-7803-3833-2

start page

• 3035

end page

• 3036

volume

• 5

URL

• http://dx.doi.org/10.1109/acc.1997.612014