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Boundedness and local stability of oscillation in a class of piecewise affine systems

Abstract

This paper investigates self-oscillation behaviors occurring in a class of piecewise affine (PWA) systems. We address a particular case of PWA systems with two subsystems and a linear switching surface. Conditions are given for characterizing forward invariant sets containing self-oscillating solutions and domains of attraction Rather than relying on purely computational tools, we provide conditions taking into account the structure of the system. (c) 2024 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

article Article
date_range 2024
language English
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Featured Keywords

Oscillations
Piecewise affine system
Forward invariance
Local stability
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