Title :
Stability studies of control systems using a non-Luré type Lyapunov function
Author :
Miyagi, Hayao ; Yamashita, Katsumi
Author_Institution :
Ryuku University, Okinawa, Japan
fDate :
10/1/1986 12:00:00 AM
Abstract :
Stability of control systems with multiple nonlinearities is discussed. A non-Luré type Lyapunov function is presented, which surpasses the Luré-type function from the point of view of the stability region guaranteed. This function is used to establish a stability criterion for the system. The superiority of the function proposed is indicated by a numerical example, comparing the stability boundary to that obtained by a Luré-type Lyapunov function.
Keywords :
Lyapunov methods, nonlinear systems; Asymptotic stability; Control systems; Displays; Equations; Lyapunov method; Multidimensional systems; Nonlinear systems; Stability criteria; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1986.1104126