TY  - JOUR
AU  - Sen, M. D.L. 
PY  - 2004
TI  - Links between Dynamic Physical Systems and Operator Theory Issues Concerning Energy Balances and Stability
JF  - American Journal of Applied Sciences
VL  - 1
IS  - 3
DO  - 10.3844/ajassp.2004.248.254
UR  - https://thescipub.com/abstract/ajassp.2004.248.254
AB  - 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.