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AUTOMATICA
2008
106views more  AUTOMATICA 2008»
13 years 4 months ago
Constructive stabilization for quadratic input nonlinear systems
In this paper stabilization of nonlinear systems with quadratic multi-input is considered. With the help of control Lyapunov function (CLF), a constructive parameterization of con...
Jianghua Zhong, Daizhan Cheng, Xiaoming Hu
RC
2007
78views more  RC 2007»
13 years 3 months ago
Exponential Stability of Interval Dynamical Systems with Quadratic Nonlinearity
This article proposes an approach for investigating the exponential stability of a nonlinear interval dynamical system with the nonlinearity of a quadratic type on the basis of the...
Ruslan S. Ivlev, Svetlana P. Sokolova
MCS
2008
Springer
13 years 4 months ago
On the stability analysis of nonlinear systems using polynomial Lyapunov functions
In the stability study of nonlinear systems, not to found feasible solution for the LMI problem associated with a quadratic Lyapunov function shows that it doesn't exist posi...
Hajer Bouzaouache, Naceur Benhadj Braiek
CDC
2008
IEEE
236views Control Systems» more  CDC 2008»
13 years 10 months ago
Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems
Abstract— We relax the monotonicity requirement of Lyapunov’s theorem to enlarge the class of functions that can provide certificates of stability. To this end, we propose two...
Amir Ali Ahmadi, Pablo A. Parrilo
AUTOMATICA
2006
98views more  AUTOMATICA 2006»
13 years 4 months ago
Robust stabilization of nonlinear cascaded systems
This paper considers the problem of robust stabilization for an uncertain nonlinear system which is a cascaded interconnection of two subsystems. Both of the subsystems are allowe...
Weizhou Su, Minyue Fu