Exponential stability of gradient systems with applications to nonlinear-in-control design methods

Eugene Lavretsky, Chengyu Cao, Naira Hovakimyan

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Exponential stability analysis for gradient systems is the primary focus of this paper. Sufficient conditions are derived that guarantee exponential stability for both autonomous and parameter-dependent gradient systems. These conditions require boundedness of singular values of a Jacobian matrix, uniformly in the system state space. The reported theoretical results are subsequently applied to design tracking controllers for a class of nonlinear-in-control dynamical systems. The design is carried out using time-scale separation techniques.

Original languageEnglish (US)
Title of host publicationProceedings of the 2007 American Control Conference, ACC
Number of pages6
StatePublished - 2007
Externally publishedYes
Event2007 American Control Conference, ACC - New York, NY, United States
Duration: Jul 9 2007Jul 13 2007

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619


Other2007 American Control Conference, ACC
Country/TerritoryUnited States
CityNew York, NY

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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