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

American Journal of Applied Sciences

M. D.L. Sen¹ 

关键词: Positivity;    Passivity;    Popov’sInequality;    Positive Operators;    Hyperstability;   

DOI  :  10.3844/ajassp.2004.248.254

学科分类：自然科学（综合）

来源: Science Publications

【 摘 要 】

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.

【 授权许可】

Unknown