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	<title>Nonlinear Control of Mechanical Systems: A Lagrangian Perspective - Revision history</title>
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	<updated>2026-07-27T04:28:18Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<id>https://murray.cds.caltech.edu/index.php?title=Nonlinear_Control_of_Mechanical_Systems:_A_Lagrangian_Perspective&amp;diff=20043&amp;oldid=prev</id>
		<title>Murray: htdb2wiki: creating page for 1995f_mur95-nolcos.html</title>
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		<updated>2016-05-15T06:20:35Z</updated>

		<summary type="html">&lt;p&gt;htdb2wiki: creating page for 1995f_mur95-nolcos.html&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{HTDB paper&lt;br /&gt;
| authors = Richard M. Murray &lt;br /&gt;
| title = Nonlinear Control of Mechanical Systems: A Lagrangian Perspective&lt;br /&gt;
| source = &amp;lt;i&amp;gt;Annual Reviews in Control&amp;lt;/i&amp;gt;, v21, pp 31-45&lt;br /&gt;
| year = 1997&lt;br /&gt;
| type = Preprint&lt;br /&gt;
| funding = &lt;br /&gt;
| url = http://www.cds.caltech.edu/~murray/preprints/mur97-arc.pdf&lt;br /&gt;
| abstract =  Recent advances in geometric mechanics, motivated in large part by applications in&lt;br /&gt;
control theory, have introduced new tools for understanding and utilizing the structure&lt;br /&gt;
present in mechanical systems. In particular, the use of geometric methods for analyzing&lt;br /&gt;
Lagrangian systems with both symmetries and non-integrable (or nonholonomic) constraints&lt;br /&gt;
has led to a unified formulation of the dynamics that has important implications for a&lt;br /&gt;
wide class of mechanical control systems. This paper presents a survey of recent results&lt;br /&gt;
in this area, focusing on the relationships between geometric phases, controllability, and&lt;br /&gt;
curvature, and the role of trajectory generation in nonlinear controller synthesis.&lt;br /&gt;
Examples are drawn from robotics and flight control systems, with an emphasis on motion&lt;br /&gt;
control problems. &lt;br /&gt;
| flags = &lt;br /&gt;
| tag = mur95-nolcos&lt;br /&gt;
| id = 1995f&lt;br /&gt;
}}&lt;/div&gt;</summary>
		<author><name>Murray</name></author>
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