Extension of Kalman-Yakubovich-Popov lemma to descriptor systems

DOI10.1016/j.sysconle.2009.08.010zbMath1191.93027OpenAlexW2139878700WikidataQ124953787 ScholiaQ124953787MaRDI QIDQ976172

R. Frasca, M. Kanat Camlibel

Publication date: 17 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2009.08.010

zbMATH Keywords

positive realnessdescriptor systemsdissipative systemssingular systemspassive systemsKalman-Yakubovich-Popov Lemma

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Canonical structure (93B10) Control problems involving ordinary differential equations (34H05) Control/observation systems governed by ordinary differential equations (93C15) Stability of control systems (93D99)

Related Items (11)

Reprint of The Kalman-Yakubovich-Popov inequality for differential-algebraic systems: existence of nonpositive solutions ⋮ Controllability and dissipativity analysis for linear systems with derivative input ⋮ Passivity-based control of hybrid impulsive and switching systems with singular structure ⋮ The Kalman-Yakubovich-Popov inequality for differential-algebraic systems: existence of nonpositive solutions ⋮ Positive realness of second-order and high-order descriptor systems ⋮ Dissipativity analysis of descriptor systems using image space characterization ⋮ Kalman-Popov-Yakubovich lemma for ordered fields ⋮ Kalman-Yakubovič-Popov lemma for descriptor systems ⋮ Positive real control for descriptor systems with uncertainties in the derivative matrix via a proportional plus derivative feedback ⋮ Unnamed Item ⋮ The convex invertible cone structure of positive real odd rational matrix functions

Cites Work

• The Kalman-Yakubovich-Popov Lemma in a behavioural framework
• Singular control systems
• A survey of linear singular systems
• Dissipativity inequalities for continuous-time descriptor systems with applications to synthesis of control gains
• Dissipative dynamical systems. I: General theory
• Dissipative dynamical systems. II: Linear systems with quadratic supply rates
• A generalized state-space for singular systems
• New Positive Realness Conditions for Uncertain Discrete Descriptor Systems: Analysis and Synthesis
• An extension of the positive real lemma to descriptor systems
• On positive realness of descriptor systems

This page was built for publication: Extension of Kalman-Yakubovich-Popov lemma to descriptor systems