Asymptotics of Switching: Smoothing and Other Perturbations

Mike R. Jeffrey
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Mike R. Jeffrey: University of Bristol, Department of Engineering Mathematics

Chapter Chapter 12 in Hidden Dynamics, 2018, pp 307-353 from Springer

Abstract: Abstract The modest assumption made throughout this book is that a discontinuous system can be expressed in the form combination x ̇ = f ( x ; λ ) $$\dot{\mathbf{x}} = \mathbf{f}(\mathbf{x};\boldsymbol{\lambda })$$ , in terms of switching multiplier switching multiplier s λ = ( λ 1 , … , λ m ) $$\boldsymbol{\lambda } = (\lambda _{1},\ldots,\lambda _{m})$$ . It is time to ask what these assumptions involve, in theory and in application.

Date: 2018
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DOI: 10.1007/978-3-030-02107-8_12

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