Stability analysis with Popov multipliers and integral quadratic constraints

DOI10.1016/S0167-6911(97)00018-2zbMath0901.93051MaRDI QIDQ1391288

Ulf T. Jönsson

Publication date: 22 July 1998

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

zbMATH Keywords

stabilitymultipliersintegral quadratic constraintsPopov criterionslope restricted nonlinearitiesstrictly proper

Mathematics Subject Classification ID

Popov-type stability of feedback systems (93D10)

Related Items (12)

Robustness analysis of uncertain discrete‐time systems with dissipation inequalities and integral quadratic constraints ⋮ Robust stability and performance analysis based on integral quadratic constraints ⋮ LPV control and analysis under uncertain initial conditions ⋮ Robust static and fixed-order dynamic output feedback control of discrete-time parametric uncertain Luré systems: Sequential SDP relaxation approaches ⋮ Factorization of multipliers in passivity and IQC analysis ⋮ On multipliers for bounded and monotone nonlinearities ⋮ Equivalence between classes of multipliers for slope-restricted nonlinearities ⋮ gain bounds for systems with sector bounded and slope‐restricted nonlinearities ⋮ New results for analysis of systems with repeated nonlinearities ⋮ Lyapunov functions for the multivariable Popov criterion with indefinite multipliers ⋮ A General Integral Quadratic Constraints Theorem with Applications to a Class of Sampled-Data Systems ⋮ Tractable stability analysis for systems containing repeated scalar slope‐restricted nonlinearities

Cites Work

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• A Popov criterion for uncertain linear multivariable systems
• System analysis via integral quadratic constraints
• Parameter-dependent Lyapunov functions and the Popov criterion in robust analysis and synthesis
• Stability Conditions for Systems with Monotone and Slope-Restricted Nonlinearities

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