Sharp sufficient attractivity conditions for sliding on a co-dimension 2 discontinuity surface

DOI10.1016/j.matcom.2013.12.005OpenAlexW2070347898MaRDI QIDQ2228601

Luca Dieci, Luciano Lopez, Cinzia Elia

Publication date: 19 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2013.12.005

zbMATH Keywords

attractivitypiecewise smooth systemsdiscontinuity surfaceco-dimension 2Filippov sliding modes

Mathematics Subject Classification ID

Smooth dynamical systems: general theory (37Cxx) Qualitative theory for ordinary differential equations (34Cxx) General theory for ordinary differential equations (34Axx) Control problems involving ordinary differential equations (34Hxx)

Related Items (3)

Piecewise smooth systems near a co-dimension 2 discontinuity manifold: can one say what should happen? ⋮ A critical case for the spiral stability for \(2\times 2\) discontinuous systems and an application to recursive neural networks ⋮ Sliding dynamic in a 3-dimensional epidemiological system

Cites Work

• A Filippov sliding vector field on an attracting co-dimension 2 discontinuity surface, and a limited loss-of-attractivity analysis
• Sliding motion on discontinuity surfaces of high co-dimension. A construction for selecting a Filippov vector field
• Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics
• Sliding Motion in Filippov Differential Systems: Theoretical Results and a Computational Approach
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