Title :
Multivariable circle criteria for multiparameter singularly perturbed systems
Author :
Tuan, H.D. ; Hosoe, S.
Author_Institution :
Dept. of Inf. & Control Eng., Toyota Technol. Inst., Nagoya, Japan
fDate :
4/1/2000 12:00:00 AM
Abstract :
A direct approach to the Lur´e problem for singularly perturbed systems (SPS) is proposed. In contrast to previous results, the feedback connection between the linear and nonlinear parts of SPS is allowed to depend essentially on both the slow and the fast variables. The Lur´e problem for multiparameter SPS is studied by the same framework
Keywords :
asymptotic stability; feedback; linear systems; multidimensional systems; singularly perturbed systems; stability criteria; transfer functions; Lure problem; asymptotic stability; circle criteria; feedback; finite dimensional systems; linear systems; singularly perturbed systems; transfer function; Feedback; Lyapunov method; Nonlinear equations; Nonlinear systems; Riccati equations; Robust control; Robust stability; Sufficient conditions; Symmetric matrices; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
