Converse passivity theorems

Arjan van der Schaft; Sei Zhen Khong

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Converse passivity theorems

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arxiv 1701.00249 v1 pith:36Y2JM2C submitted 2017-01-01 math.OC

Converse passivity theorems

Sei Zhen Khong , Arjan van der Schaft This is my paper

classification math.OC

keywords passivityconversesystemsystemstheoremscontrolfeedbackpassive

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Passivity is an imperative concept and a widely utilized tool in the analysis and control of interconnected systems. It naturally arises in the modelling of physical systems involving passive elements and dynamics. While many theorems on passivity are known in the theory of robust control, very few converse passivity results exist. This paper establishes various versions of converse passivity theorems for nonlinear feedback systems. In particular, open-loop passivity is shown to be necessary to ensure closed-loop passivity from an input-output perspective. Moreover, the stability of the feedback interconnection of a specific system with an arbitrary passive system is shown to imply passivity of the system itself.

Converse passivity theorems

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