Some Results on Stability and Stabilization of Homogeneous Time-Varying Systems

被引:0
作者
Hamadi Jerbi
Thouraya Kharrat
Wajdi Kallel
机构
[1] University of Sfax,Faculty of Sciences of Sfax, Department of Mathematics
[2] University of Gabès,Faculty of Sciences of Gabès
[3] Citè Riadh,undefined
来源
Mediterranean Journal of Mathematics | 2013年 / 10卷
关键词
Homogeneous; time-varying systems; stability; stabilizability; sub-manifolds;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we study the stability and stabilization of time-varying homogeneous systems that are affine in the control using some results on differentiable manifolds.
引用
收藏
页码:177 / 188
页数:11
相关论文
共 21 条
[1]  
Andriano V.(1993)Global feedback stabilization of the angular velocity of a symmetric rigid body Systems Control Lett. 20 361-364
[2]  
Artstein Z.(1983)Stabilization with relaxed controls Nonlinear Anal. 7 1163-1173
[3]  
Hermes H.(1995)Homogeneous feedback controls for homogeneous systems Systems Control Lett. 24 7-11
[4]  
Jerbi H.(2002)A manifold-like characterization of asymptotic stabilizability of homogeneous systems Systems Control Lett. 45 173-178
[5]  
Jerbi H.(2005)Only a level set of a control Lyapunov function for homogeneous systems Kybernetika (Prague) 41 593-600
[6]  
Kharrat T.(2008)On The Stabilization of Homogeneous Perturbed Systems J. Dyn. Control Syst. 14 595-606
[7]  
Jerbi H.(2009)Stabilization of nonlinear time varying systems: a control Lyapunov approach J. Syst. Sci. Complex. 22 683-696
[8]  
Kallel W.(1990)Homogeneous stabilizing feedback laws Control Theory Adv. Tech. 6 497-516
[9]  
Kharrat T.(1999)Averaging results and the study of uniform asymptotic stability of homogeneous differential equations that are not fast time-varying SIAM J. Control Optim. 37 997-1010
[10]  
Jiang Z.(1992)Homogeneous Lyapunov function for homogeneous continuous vector fields Systems Control Lett. 19 467-473