TY - GEN
T1 - Stability analysis of state-dependent delay systems using sum-of-squares
AU - Li, Bin
AU - Peet, Matthew
PY - 2013/9/16
Y1 - 2013/9/16
N2 - 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.
AB - 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.
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M3 - Conference contribution
AN - SCOPUS:84883722466
SN - 9781624102240
T3 - AIAA Guidance, Navigation, and Control (GNC) Conference
BT - AIAA Guidance, Navigation, and Control (GNC) Conference
T2 - AIAA Guidance, Navigation, and Control (GNC) Conference
Y2 - 19 August 2013 through 22 August 2013
ER -