Reprint of The Kalman-Yakubovich-Popov inequality for differential-algebraic systems: existence of nonpositive solutions

DOI10.1016/j.sysconle.2016.05.010zbMath1342.93097OpenAlexW4241688341MaRDI QIDQ305617

Matthias Voigt, Timo Reis

Publication date: 30 August 2016

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2016.05.010

zbMATH Keywords

differential-algebraic equationbounded real lemmaKalman-Yakubovich-Popov lemmaPopov functionpositive real lemma

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15) Stability of control systems (93D99)

Cites Work

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• The quasi-Weierstrass form for regular matrix pencils
• Zero dynamics and funnel control of linear differential-algebraic systems
• Kalman controllability decompositions for differential-algebraic systems
• The Kalman-Yakubovich-Popov inequality for differential-algebraic systems
• Absolute stability of nonlinear systems of automatic control
• Extension of Kalman-Yakubovich-Popov lemma to descriptor systems
• Singular control systems
• LYAPUNOV FUNCTIONS FOR THE PROBLEM OF LUR'E IN AUTOMATIC CONTROL
• Pick Matrix Conditions for Sign-Definite Solutions of the Algebraic Riccati Equation
• Controllability of Linear Differential-Algebraic Systems—A Survey
• Lyapunov functionals in complex μ analysis
• A System Theory Criterion for Positive Real Matrices
• Open problems in mathematical systems and control theory
• Control theory for linear systems

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