Title :
An absolute stability criterion for the Lur´e problem with sector and slope restricted nonlinearities
Author :
Suykens, J.A.K. ; Vandewalle, J. ; De Moor, B.
Author_Institution :
Dept. of Electr. Eng., Katholieke Univ., Leuven, Belgium
fDate :
9/1/1998 12:00:00 AM
Abstract :
In this brief we present a new sufficient condition for global asymptotic stability of Lur´e systems with sector and slope restricted nonlinearities. It is expressed as a matrix inequality and is based on an extended Lur´e-Postnikov Lyapunov function. It is compared based on numerical examples to conditions of Josselson-Raju and Haddad-Kapila
Keywords :
Lyapunov matrix equations; absolute stability; asymptotic stability; stability criteria; Lur´e problem; Lur´e-Postnikov Lyapunov function; absolute stability criterion; global asymptotic stability; matrix inequality; nonlinearity; Asymptotic stability; Circuit stability; Control theory; History; Laboratories; Linear matrix inequalities; Lyapunov method; Neural networks; Stability criteria; Sufficient conditions;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
