Stability analysis of state-dependent delay systems using sum-of-squares

Bin Li, Matthew Peet

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

Abstract

In this paper, we present a computational approach to the problem of local stability of scalar systems with state-dependent delay. Our approach is to parameterize a class of positive quadratic Lyapunov-Krasovskii functionals using positive matrices. By constrain- ing the functional to be positive and its derivative to be negative, we can represent the problem of stability as a convex optimization problem and solve this problem using efficient algorithms for semidefinite programming. The accuracy of the approach is demonstrated using a set of numerical examples.

Original languageEnglish (US)
Title of host publicationAIAA Guidance, Navigation, and Control (GNC) Conference
StatePublished - Sep 16 2013
EventAIAA Guidance, Navigation, and Control (GNC) Conference - Boston, MA, United States
Duration: Aug 19 2013Aug 22 2013

Publication series

NameAIAA Guidance, Navigation, and Control (GNC) Conference

Other

OtherAIAA Guidance, Navigation, and Control (GNC) Conference
CountryUnited States
CityBoston, MA
Period8/19/138/22/13

ASJC Scopus subject areas

  • Aerospace Engineering
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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  • Cite this

    Li, B., & Peet, M. (2013). Stability analysis of state-dependent delay systems using sum-of-squares. In AIAA Guidance, Navigation, and Control (GNC) Conference (AIAA Guidance, Navigation, and Control (GNC) Conference).