Autonomous linear lossless systems

Rao, Shodhan and Rapisarda, Paolo (2008) Autonomous linear lossless systems At 17th IFAC World Congress, Korea, Republic of. 06 - 11 Jul 2008.


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We define a lossless autonomous system as one having a quadratic differential form associated with it called an energy function, which is positive and which is conserved. We define an oscillatory system as one which has all its trajectories bounded on the entire time axis. In this paper, we show that an autonomous system is lossless if and only if it is oscillatory. Next we discuss a few properties of energy functions of autonomous lossless systems and a suitable way of splitting a given energy function into its kinetic and potential energy components.

Item Type: Conference or Workshop Item (Poster)
Additional Information: Event Dates: 6-11 July
Venue - Dates: 17th IFAC World Congress, Korea, Republic of, 2008-07-06 - 2008-07-11
Organisations: Southampton Wireless Group
ePrint ID: 266593
Date :
Date Event
July 2008Published
Date Deposited: 21 Aug 2008 10:26
Last Modified: 17 Apr 2017 19:01
Further Information:Google Scholar

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