New Positive Realness Conditions for Uncertain Discrete Descriptor Systems: Analysis and Synthesis

DOI10.1109/TCSI.2004.834524zbMath1374.93118MaRDI QIDQ4590321

Shengyuan Xu, James Lam

Publication date: 20 November 2017

Published in: IEEE Transactions on Circuits and Systems I: Regular Papers (Search for Journal in Brave)

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Discrete-time control/observation systems (93C55)

Related Items (13)

Dilated LMI conditions for time-varying polytopic descriptor systems: the discrete-time case ⋮ Output regulation of linear singular multi-agent systems ⋮ New characterisations of positive realness and static output feedback control of discrete-time systems ⋮ D-admissible hybrid control of a class of singular systems ⋮ Positive realness of second-order and high-order descriptor systems ⋮ Positive real control for descriptor systems with uncertainties in the derivative matrix via a proportional plus derivative feedback ⋮ Robust analysis and control of parameter-dependent uncertain descriptor systems ⋮ Extension of Kalman-Yakubovich-Popov lemma to descriptor systems ⋮ A note on the existence of a solution and stability for Lipschitz discrete-time descriptor systems ⋮ LMI-based robust admissible control for uncertain singular delta operator systems ⋮ The convex invertible cone structure of positive real odd rational matrix functions ⋮ Robust stabilization approach and \(H_{\infty}\) performance via static output feedback for a class of nonlinear systems ⋮ Admissibility analysis of linear singular systems via a delta operator method

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