A balancing approach to the realization of systems with internal passivity and reciprocity

DOI10.1016/j.sysconle.2010.10.009zbMath1214.15024OpenAlexW2063209279MaRDI QIDQ626820

Juan-Miguel Gracia

Publication date: 18 February 2011

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2010.10.009

zbMATH Keywords

passivebalanced realizationreciprocalpositive realsign symmetric matrices

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (4)

On the internal signature and minimal electric network realizations of reciprocal behaviors ⋮ A structure‐preserving doubling algorithm for Lur'e equations ⋮ Passive control for a class of nonlinear systems by using the technique of adding a power integrator ⋮ Balanced Truncation Model Reduction for Symmetric Second Order Systems---A Passivity-Based Approach

Cites Work

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• Lur'e equations and even matrix pencils
• Realization of systems with internal passivity and symmetry constraints
• Time-reversal and the symmetry of the relaxation function of a linear viscoelastic material
• Dissipative dynamical systems. II: Linear systems with quadratic supply rates
• Balanced Parametrization of Classes of Linear Systems
• A Survey of Model Reduction by Balanced Truncation and Some New Results
• A System Theory Criterion for Positive Real Matrices

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