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

M. De la Sen
2004 American Journal of Applied Sciences  
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
more » ... positivity and closely related ones in operator theory in Hilbert spaces.
doi:10.3844/ajassp.2004.248.254 fatcat:5duwpfc2crf4xh5z3zg3iwy4x4