A notion of equivalence for linear complementarity problems with application to the design of non-smooth bifurcations

2019/11/09 by Fernando Castaños, Castaños, Fernando, Félix Miranda-Villatoro +3
Computer Science · Mathematics · #37E99 #37G05 #37G10 #93A30 #93C10 #Advanced Differential Equations and Dynamical Systems #Advanced Optimization Algorithms Research #Dynamical Systems (math.DS) #FOS: Electrical engineering #FOS: Mathematics #Optimization and Variational Analysis #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1911.03774

openalex publication_date 2019/11/09 · openalex created_date 2019/11/22 · openalex updated_date 2026/07/28

Abstract

Many systems of interest to control engineering can be modeled by linear complementarity problems. We introduce a new notion of equivalence between linear complementarity problems that sets the basis to translate the powerful tools of smooth bifurcation theory to this class of models. Leveraging this notion of equivalence, we introduce new tools to analyze, classify, and design non-smooth bifurcations in linear complementarity problems and their interconnection.

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