All multipliers for repeated monotone nonlinearities

DOI10.1109/TAC.2002.800642zbMath1364.93681OpenAlexW2112822418MaRDI QIDQ5267159

Vishwesh V. Kulkarni, Michael G. Safonov

Publication date: 20 June 2017

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.2002.800642

Mathematics Subject Classification ID

Popov-type stability of feedback systems (93D10) Asymptotic stability in control theory (93D20)

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On stability analysis of systems featuring a multiplicative combination of nonlinear and linear time-invariant feedback ⋮ Zames-Falb multipliers for absolute stability: from O'Shea's contribution to convex searches ⋮ Robust stability and performance analysis based on integral quadratic constraints ⋮ On the necessity and sufficiency of the Zames-Falb multipliers for bounded operators ⋮ Guaranteed cost control of stochastic uncertain systems with slope bounded nonlinearities via the use of dynamic multipliers ⋮ On multipliers for bounded and monotone nonlinearities ⋮ Lyapunov functions and \(\mathcal{L}_2\) gain bounds for systems with slope restricted nonlinearities ⋮ Equivalence between classes of multipliers for slope-restricted nonlinearities ⋮ gain bounds for systems with sector bounded and slope‐restricted nonlinearities ⋮ Decentralized dynamic nonlinear controllers to minimize transmit power in cellular networks. I ⋮ Multipliers for model predictive control with structured input constraints ⋮ All stability multipliers for repeated MIMO nonlinearities ⋮ Directionality compensation for linear multivariable anti-windup synthesis ⋮ Tractable stability analysis for systems containing repeated scalar slope‐restricted nonlinearities

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