https://murray.cds.caltech.edu/index.php?action=history&feed=atom&title=NME130%2FDynamical_systems 2026-09-05T22:17:27Z Revision history for this page on the wiki MediaWiki 1.44.2 https://murray.cds.caltech.edu/index.php?title=NME130/Dynamical_systems&diff=9490&oldid=prev 2009-06-16T22:37:59Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 22:37, 16 June 2009</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l22">Line 22:</td> <td colspan="2" class="diff-lineno">Line 22:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>** Don&#039;t need to spend time in lecture going through the details</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>** Don&#039;t need to spend time in lecture going through the details</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>** No common tool set for many of these tools - could pose a problem</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>** No common tool set for many of these tools - could pose a problem</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* Can we focus on similarities versus differences</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">** Take a point view of rings and fields, instead of focusing on the differences</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Possible links to hybrid systems (3 more hours?)</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Possible links to hybrid systems (3 more hours?)</div></td></tr> <!-- diff cache key acs_math_mw_144-murraycds_:diff:1.41:old-9488:rev-9490:php=table --> </table>

Murray https://murray.cds.caltech.edu/index.php?title=NME130/Dynamical_systems&diff=9488&oldid=prev 2009-06-16T22:33:05Z

<p>NME13/Dynamical systems moved to NME130/Dynamical systems</p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 22:33, 16 June 2009</td> </tr><tr><td colspan="4" class="diff-notice" lang="en"><div class="mw-diff-empty">(No difference)</div> </td></tr> <!-- diff cache key acs_math_mw_144-murraycds_:diff:1.41:old-9487:rev-9488 --> </table>

Murray https://murray.cds.caltech.edu/index.php?title=NME130/Dynamical_systems&diff=9487&oldid=prev 2009-06-16T22:31:01Z

<p></p> <p><b>New page</b></p><div>Dynamical systems in two parallel tracks<br /> * Continuous time, time-invariant systems (6 hours)<br /> ** Differential equations and solutions<br /> ** Stabilizability<br /> ** Linearization<br /> ** Controllability and Observability<br /> ** Lyapunov equation/Lyapunov functions (show nonlinear case without proof)<br /> * Finite state transition systems (6 hours)<br /> ** Finite automata<br /> ** Regular languages<br /> ** Linear temporal logic specifications<br /> <br /> Discussion<br /> * Why linear systems?<br /> ** May not be necessary<br /> ** Existence and uniqueness are harder in the nonlinear case<br /> ** Can probably start nonlinear, go linear by obs/ctr, then mention nonlinear again at the Lyapunov level<br /> * Finite state machines<br /> ** Talk about LTL, Bucchi automata, etc<br /> * How much should we focus on the tools<br /> ** Assume that people will do homework problems that make use of these<br /> ** Don&#039;t need to spend time in lecture going through the details<br /> ** No common tool set for many of these tools - could pose a problem<br /> <br /> Possible links to hybrid systems (3 more hours?)<br /> * After presenting both topics, link to case study and/or generalizations<br /> ** Generalizations: numerical simulation, stability, etc<br /> ** Case study: hybrid models for UAVs, biological systems</div>

Murray