American Journal of Applied Sciences

Links between Dynamic Physical Systems and Operator Theory Issues Concerning Energy Balances and Stability

M. D.L. Sen

DOI : 10.3844/ajassp.2004.248.254

American Journal of Applied Sciences

Volume 1, Issue 3

Pages 248-254

Abstract

This study relates the properties of operators with the well- known concepts of positive realness and passivity properties in dynamic systems and their associate transfer functions. Those concepts together with very close related ones are first examined from a physical point of view. Then, they are related to hyper-stability and properties of transfer functions while the hyper-stability theorem is revisited and interpreted. Finally, the above concepts are compared to the mathematical concepts of positivity and closely related ones in operator theory in Hilbert spaces.

Copyright

© 2004 M. D.L. Sen. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.