Stability of nonlinear differential-algebraic systems via additive identity | Zendy

Pierluigi Di Franco | Zendy; Giordano Scarciotti | Zendy; Alessandro Astolfi | Zendy

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Stability of nonlinear differential-algebraic systems via additive identity

Author(s) -

Pierluigi Di Franco,

Giordano Scarciotti,

Alessandro Astolfi

Publication year - 2020

Publication title -

ieee/caa journal of automatica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.277

H-Index - 41

eISSN - 2329-9274

pISSN - 2329-9266

DOI - 10.1109/jas.2020.1003219

Subject(s) - computing and processing , communication, networking and broadcast technologies , general topics for engineers , robotics and control systems

The stability analysis for nonlinear differential-algebraic systems is addressed using tools from classical control theory. Sufficient stability conditions relying on matrix inequalities are established via Lyapunov Direct Method. In addition, a novel interpretation of differential-algebraic systems as feedback interconnection of a purely differential system and an algebraic system allows reducing the stability analysis to a small-gain-like condition. The study of stability properties for constrained mechanical systems, for a class of Lipschitz differential-algebraic systems and for an academic example is used to illustrate the theory.

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