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 - 2013
EventAIAA Guidance, Navigation, and Control (GNC) Conference - Boston, MA, United States
Duration: Aug 19 2013Aug 22 2013

Other

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

Fingerprint

Convex optimization
Derivatives

ASJC Scopus subject areas

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

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

Stability analysis of state-dependent delay systems using sum-of-squares. / Li, Bin; Peet, Matthew.

AIAA Guidance, Navigation, and Control (GNC) Conference. 2013.

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

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, Boston, MA, United States, 8/19/13.
Li B, Peet M. Stability analysis of state-dependent delay systems using sum-of-squares. In AIAA Guidance, Navigation, and Control (GNC) Conference. 2013
Li, Bin ; Peet, Matthew. / Stability analysis of state-dependent delay systems using sum-of-squares. AIAA Guidance, Navigation, and Control (GNC) Conference. 2013.
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