Aspects and Some Results on Passivity and Positivity of Dynamic Systems

M. De la Sen
2017 Journal of Physics, Conference Series  
This paper is devoted to discuss certain aspects of passivity results in dynamic systems and the characterization of the regenerative systems counterparts. In particular, the various concepts of passivity as standard passivity, strict input passivity, strict output passivity and very strict passivity (i.e. joint strict input and output passivity) are given and related to the existence of a storage function and a dissipation function. Later on, the obtained results are related to external
more » ... ity of systems and positivity or strict positivity of the transfer matrices and transfer functions in the timeinvariant case. On the other hand, it is discussed how to achieve or how eventually to increase the passivity effects via linear feedback by the synthesis of the appropriate feed-forward or feedback controllers or, simply, by adding a positive parallel direct input-output matrix interconnection gain.
doi:10.1088/1742-6596/936/1/012099 fatcat:dhs5aus3rrfrholcef73ruf66m