Positive Systems Analysis Via Integral Linear Constraints

Anders Rantzer; Corentin Briat; Sei Zhen Khong

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Positive Systems Analysis Via Integral Linear Constraints

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arxiv 1508.06316 v1 pith:M37EEBFP submitted 2015-08-25 math.OC cs.SYeess.SY

Positive Systems Analysis Via Integral Linear Constraints

Sei Zhen Khong , Corentin Briat , Anders Rantzer This is my paper

classification math.OC cs.SYeess.SY

keywords feedbacksystemspositiveconstraintsintegrallinearanalysisnonlinear

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Closed-loop positivity of feedback interconnections of positive monotone nonlinear systems is investigated. It is shown that an instantaneous gain condition on the open-loop systems which implies feedback well-posedness also guarantees feedback positivity. Furthermore, the notion of integral linear constraints (ILC) is utilised as a tool to characterise uncertainty in positive feedback systems. Robustness analysis of positive linear time-varying and nonlinear feedback systems is studied using ILC, paralleling the well-known results based on integral quadratic constraints.

Positive Systems Analysis Via Integral Linear Constraints

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