arXiv Open Access 2023

Sufficient Stability Conditions for a Class of Switched Systems with Multiple Steady States

Jacopo Piccini Elias August Sigurdur Hafstein Stefania Andersen

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Abstrak

In this paper, we present a novel approach to determine the stability of switched linear and nonlinear systems using Sum of Squares optimisation. Particularly, we use Sum of Squares optimisation to search for a Lyapunov function that defines an absorbing set that confines solution trajectories. For linear systems, we show that this also implies global asymptotic stability. Using this approach, we can study stability for a broader range of switched systems, particularly, we can search for a global attractor for switched nonlinear systems, whose dynamics are given by polynomial vector fields and which have multiple equilibria or limit cycles.

Topik & Kata Kunci

math.DS

Penulis (4)

Jacopo Piccini

Elias August

Sigurdur Hafstein

Stefania Andersen

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APA MLA BibTeX

Piccini, J., August, E., Hafstein, S., Andersen, S. (2023). Sufficient Stability Conditions for a Class of Switched Systems with Multiple Steady States. https://arxiv.org/abs/2306.09757

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓