2015Unpublished venueRequires access

Adaptive control and the definition of exponential stability

Travis E. Gibson, Anuradha M. Annaswamy

Open publisher page 6 citations

Abstract

Several definitions of exponential stability are revisited so as to address some possible confusion in the adaptive control literature when terms like exponentially convergent, exponentially asymptotically stable, or exponentially stable are used. It is also shown that in general the direct adaptive control problem can never be exponentially stable in the large and can at best be uniformly asymptotically stable in the large.

About this research paper

What this paper is about

Several definitions of exponential stability are revisited so as to address some possible confusion in the adaptive control literature when terms like exponentially convergent, exponentially asymptotically stable, or exponentially stable are used. It is also shown that in general the direct adaptive control problem can never be exponentially stable in the large and can at best be uniformly asymptotically stable in the large.

Why it matters

OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Several definitions of exponential stability are revisited so as to address some possible confusion in the adaptive control literature when terms like exponentially convergent, exponentially asymptotically stable, or exponentially stable are used. It is also shown that in general the direct adaptive control problem can never be exponentially stable in the large and can at best be uniformly asymptotically stable in the large.

Key concepts: Exponential stability, Exponential growth, Confusion, Adaptive control, Stability theory, Mathematics, Stability (learning theory), Applied mathematics

Related papers

Back to paper searchBrowse research topicsOriginal source
Adaptive control and the definition of exponential stability — Research Paper | ScholarLens