Balanced truncation for linear switched systems

DOI10.1007/s10444-018-9610-zzbMath1405.93053arXiv1712.02158OpenAlexW2963865788MaRDI QIDQ5916080

Athanasios C. Antoulas, Ion Victor Gosea, Mihaly Petreczky, Christophe Fiter

Publication date: 28 December 2018

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.02158

zbMATH Keywords

observabilitycontrollabilityswitched systemsbalanced truncationmodel order reductioninfinite Gramians

Mathematics Subject Classification ID

Controllability (93B05) Linear systems in control theory (93C05) Observability (93B07) System structure simplification (93B11) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (10)

Data-Driven Balancing of Linear Dynamical Systems ⋮ Model Reduction and Realization Theory of Linear Switched Systems ⋮ Challenges in Model Reduction for Real-Time Simulation of Traction Chain Systems ⋮ A quadratic bilinear equation arising from the quadratic dynamical system ⋮ Direct data‐driven design of switching controllers ⋮ Reduced realization for switched linear systems with known mode sequence ⋮ New integer-order approximations of discrete-time non-commensurate fractional-order systems using the cross Gramian ⋮ Model Order Reduction of Switched Linear Systems with Constrained Switching ⋮ The study of parareal algorithm for the linear switched systems ⋮ Projection-based model reduction with dynamically transformed modes

Uses Software

• MATISSE
• MESS
• benchmodred

Cites Work

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