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Slow–fast systems and sliding on codimension 2 switching manifolds
(2019-01-01)
In this work, we consider piecewise smooth vector fields X defined in R n \ ∑, where Σ is a self-intersecting switching manifold. A double regularization of X is a 2-parameter family of smooth vector fields X ε.η , ε,η > ...
Mathematical model of an antiretroviral therapy to HIV via Filippov theory
(2020-12-15)
This work aims to study some qualitative features of piecewise smooth systems applied to the dynamics of the Human Immunodeficiency Virus (HIV). The application of sliding mode control and strategies of structured treatment ...
Integration-Free analysis of nonsmooth local dynamics in planar filippov systems
(WORLD SCIENTIFIC PUBL CO PTE LTD, 2009-03-01)
In this paper, we present a novel method to analyze the behavior of discontinuous piecewise-smooth autonomous systems (denominated Filippov systems) in the planar neighborhood of the discontinuity boundary (DB). The method ...
Regularization Of Hidden Dynamics In Piecewise Smooth Flows
(ACADEMIC PRESS INC ELSEVIER SCIENCESAN DIEGO, 2015)
Detecting Sliding Areas in Three-Dimensional Filippov Systems using an Integration-Free Method
(WORLD SCIENTIFIC AND ENGINEERING ACAD AND SOC, 2008-01-01)
In this paper, we detect sliding areas in three-dimensional (3D) Filippov systems using an integration-free method denominated Singular Point Tracking (SPT). Many physical applications in engineering can be modelled as ...
Nonlinear L2-Gain Analysis of Hybrid Systems in the Presence of Sliding Modes and Impacts
(Hindawi Publishing Corporation, 2016)
Nonlinear L2-Gain Analysis of Hybrid Systems in the Presence of Sliding Modes and Impacts
(Hindawi Publishing Corporation, 2016)
Região de deslize de sistemas suaves por partes
(Universidade Estadual Paulista (Unesp), 2019-04-09)
Neste trabalho, consideramos campos de vetores suaves por partes X definidos emRn\Σ, onde Σ é uma variedade de comutação com auto-interseção. Uma dupla regularização de X é uma família de dois parâmetros de campos vetoriais ...