Dynamic Systems: Passivity and Positivity Properties

6th Annual International Conference on Material Science and Environmental Engineering

材料科学;生态环境科学

De La Sen, Manuel^1

Department of Electricity and Electronics, UPV-EHU, Campus of Leioa, Leioa

48080, Spain^1

关键词: Dissipation functions;    Input and outputs;    Passive systems;    Storage function;    Strict passivity;    Time invariants;    Transfer matrixes;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/472/1/012013/pdf
DOI  :  10.1088/1757-899X/472/1/012013

来源: IOP

【 摘 要 】

This paper is concerned with the discussion of passivity results and the characterization of the regenerative versus passive systems counterparts in dynamic systems. 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. The obtained results are related to external positivity of systems and positivity or strict positivity of the transfer matrices and transfer functions in the time-invariant case.