Regional Analysis of Slope-Restricted Lurie Systems | Zendy

Giórgio Valmórbida | Zendy; Ross Drummond | Zendy; Stephen Duncan | Zendy

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Regional Analysis of Slope-Restricted Lurie Systems

Author(s) -

Giórgio Valmórbida,

Ross Drummond,

Stephen Duncan

Publication year - 2018

Publication title -

ieee transactions on automatic control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.436

H-Index - 294

eISSN - 1558-2523

pISSN - 0018-9286

DOI - 10.1109/tac.2018.2849618

Subject(s) - nonlinear system , quadratic equation , lyapunov function , mathematics , stability (learning theory) , control theory (sociology) , term (time) , domain (mathematical analysis) , regular polygon , function (biology) , type (biology) , computer science , mathematical analysis , control (management) , geometry , artificial intelligence , physics , ecology , quantum mechanics , machine learning , evolutionary biology , biology

This paper considers the stability analysis of nonlinear Lurie type systems where the nonlinearity is both (locally) sector and slope restricted. Convex conditions for verifying stability, computing outer estimates of reachable sets, and upper bounds on the induced L2 gain in a local or global domain are proposed. The conditions use a Lyapunov function that is quadratic on both the states and the ...

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