Stabilization of the motions of non-autonomous mechanical systems |
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| Authors: | OA Peregudova |
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| Institution: | 1. Key Laboratory of Advanced Manufacturing Technology, Ministry of Education, Guizhou University, Guiyang 550025, China;2. UTA Research Institute, University of Texas at Arlington, Arlington, TX 76019, USA;3. State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, China;4. Department of Computer Science and Engineering, University of South Carolina, Columbia, SC 29201, USA;1. Université de Tunis El Manar, Ecole Nationale d?Ingénieurs de Tunis, LR11ES15 Laboratoire des Systèmes Electriques,1002 Tunis, Tunisie;2. Université de Tunis El Manar, Institut Supérieur d?Informatique, 1002, Tunis Tunisie |
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| Abstract: | The problem of stabilizing the motions of mechanical systems that can be described by non-autonomous systems of ordinary differential equations is considered. The sufficient conditions for stabilizing of the motions of mechanical systems with assigned forces due to forces of another structure are obtained by constructing a vector Lyapunov function and a reference system. Examples of the solution of the problems of stabilizing the rotational motion of an axisymmetric satellite in an elliptic orbit, a non-tumbling gyro horizon, etc. are considered ©2009 |
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