On the Kalman-Yakubovich-Popov lemma and the multidimensional models

DOI10.1007/s11045-008-0055-2zbMath1213.93093OpenAlexW2156886217WikidataQ125050028 ScholiaQ125050028MaRDI QIDQ607391

Wojciech Paszke, Driss Mehdi, Olivier Bachelier

Publication date: 22 November 2010

Published in: Multidimensional Systems and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11045-008-0055-2

zbMATH Keywords

LMIS-procedurehybrid \(n\)-D Roesser modelKalman-Yakubovich-Popov (KYP) lemmapolynomial matrix \({\partial\mathcal{D}}\)-regularity

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Robust stability (93D09) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (12)

Stability and robust stabilization of 2-D continuous-discrete systems in Roesser model based on KYP lemma ⋮ Generalized positiveness of spatially interconnected systems over quadratically constrained frequency domains ⋮ Finite frequency \(H_\infty \) control of 2-D continuous systems in Roesser model ⋮ Robust ∞ model reduction for the continuous fractional‐order two‐dimensional Roesser system: The 0 < ε ≤ 1 case ⋮ Robust stability of hybrid Roesser models against parametric uncertainty: a general approach ⋮ Robust \(H_\infty\) filtering for uncertain two-dimensional continuous systems with time-varying delays ⋮ Robust control with finite frequency specification for uncertain discrete linear repetitive processes ⋮ Finite frequency filter design for nonlinear 2-D continuous systems in T-S form ⋮ Further results on the boundedness of multidimensional systems ⋮ Generalized \(H_{\infty}\) model reduction for stable two-dimensional discrete systems ⋮ Stability and stabilisation of linear multidimensional discrete systems in the frequency domain ⋮ Filter design for discrete-time two-dimensional T–S fuzzy systems with finite frequency specification

Uses Software

• Matlab
• LMI toolbox
• Control System Toolbox

Cites Work

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