State/signal linear time‐invariant systems theory: passive discrete time systems

DOI10.1002/rnc.1089zbMath1113.93072OpenAlexW3082315547MaRDI QIDQ3445530

Olof J. Staffans, Damir Z. Arov

Publication date: 11 June 2007

Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rnc.1089

zbMATH Keywords

linear systemscatteringKrein spacedilationcompressionbehaviourpassiverealizationconservativeKalman-Yakubovich-Popov inequality

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Operator-theoretic methods (93B28) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items

Canonical conservative state/signal shift realizations of passive discrete time behaviors ⋮ Symmetries in special classes of passive state/signal systems ⋮ Error bounds in the gap metric for dissipative balanced approximations ⋮ Well-posed state/signal systems in continuous time ⋮ On passive and conservative state/signal systems in continuous time ⋮ Two canonical passive state/signal shift realizations of passive discrete time behaviors ⋮ A Kreĭn space coordinate free version of the de Branges complementary space

Cites Work

• Schur functions, operator colligations, and reproducing kernel Pontryagin spaces
• When is a linear system conservative?
• How to get a conservative well-posed linear system out of thin air. Part I. Well-posedness and energy balance
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item