On the Existence of Stable, Causal Multipliers for Systems With Slope-Restricted Nonlinearities
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Publication:4974815
DOI10.1109/TAC.2009.2031581zbMath1367.93543MaRDI QIDQ4974815
Matthew C. Turner, Murray Kerr, Ian Postlethwaite
Publication date: 8 August 2017
Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)
Related Items (18)
Zames-Falb multipliers for absolute stability: from O'Shea's contribution to convex searches ⋮ The Aizerman and Kalman conjectures using symmetry ⋮ Robust stability and performance analysis based on integral quadratic constraints ⋮ On the necessity and sufficiency of the Zames-Falb multipliers for bounded operators ⋮ Discrete‐time systems with slope restricted nonlinearities: Zames–Falb multiplier analysis using external positivity ⋮ Second-order counterexamples to the discrete-time Kalman conjecture ⋮ Discrete-time counterparts of the RL and RC multipliers ⋮ 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 ⋮ Lyapunov functions and \(\mathcal{L}_2\) gain bounds for systems with slope restricted nonlinearities ⋮ A robust anti-windup design procedure for SISO systems ⋮ Equivalence between classes of multipliers for slope-restricted nonlinearities ⋮ LMI searches for anticausal and noncausal rational Zames-Falb multipliers ⋮ gain bounds for systems with sector bounded and slope‐restricted nonlinearities ⋮ Modified static anti-windup for saturated systems with sector-bounded and slope-restricted nonlinearities ⋮ Tractable stability analysis for systems containing repeated scalar slope‐restricted nonlinearities ⋮ Absolute stability analysis for negative-imaginary systems
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