Title :
Stability studies of dynamical systems using the non-Lure type Lyapunov function
Author :
Miyagi, H. ; Ikema, M. ; Yamashita, K.
Author_Institution :
Fac. of Eng., Ryukyus Univ., Okinawa, Japan
Abstract :
This paper applies the direct method of Lyapunov to stability analysis of the dynamical system with multiple nonlinearities. The essential feature of the Lyapunov function used in this paper is the nonLure type Lyapunov function which surpasses the Lure type Lyapunov function from the point of view of the stability region guaranteed. A modified version of the multivariable Popov criterion is used to construct nonLure type Lyapunov function, which allows for the dynamical systems with multiple nonlinearities
Keywords :
Lyapunov methods; Popov criterion; control nonlinearities; stability criteria; dynamical systems; guaranteed stability region; multiple nonlinearities; multivariable Popov criterion; nonLure type Lyapunov function; stability analysis; Lyapunov method; Power system dynamics; Power system stability; Stability analysis; Stability criteria; Symmetric matrices; Transfer functions;
Conference_Titel :
Systems, Man and Cybernetics, 1993. 'Systems Engineering in the Service of Humans', Conference Proceedings., International Conference on
Conference_Location :
Le Touquet
Print_ISBN :
0-7803-0911-1
DOI :
10.1109/ICSMC.1993.384720
