Geometric framework and minimal realizations of nonlinear systems on fibre bundle

✍ Scribed by Mu Xiaowu

• Publisher: Springer
• Year: 1996
• Tongue: English
• Weight: 640 KB
• Volume: 17
• Category: Article
• ISSN: 0253-4827
• DOI: 10.1007/bf00147138

✦ Synopsis

The definition of nonlinear control s)'stenls on .fibre bundles proposed br Brockett and Willems is incomt~lete fronl the mathemati~'al riew. A new geometric framework is proposed and a refiT#hal realization theory is dereloped for nonlinear control sj'stems on .fibre bundles which is elaborated as a natural generalization of Sussmamt's theotT aod d(/fers essentially fi'om Van der Schaft's approach. Lhnitations of realization theory given by Van der Schaft are also discussed.