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Stability and \({\mathcal L}_2\) gain properties of LPV systems

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Publication:1614435
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DOI10.1016/S0005-1098(02)00055-9zbMath1045.93043MaRDI QIDQ1614435

Daniel J. Stilwell, Wilson J. Rugh

Publication date: 5 September 2002

Published in: Automatica (Search for Journal in Brave)


zbMATH Keywords

Stability\({\mathcal L}_2\) gainGain scheduled controlGromwall-Bellman inequalityLinear parameter-varying systems


Mathematics Subject Classification ID

Input-output approaches in control theory (93D25)


Related Items

On switching \(\mathcal H^{\infty}\) controllers for a class of linear parameter varying systems ⋮ Linear parameter varying feedforward control synthesis using parameter-dependent Lyapunov function ⋮ Parameter estimation on linear time-varying systems



Cites Work

  • Unnamed Item
  • A stability result for linear parameter-varying systems
  • \(H_{\infty}\) control with parametric Lyapunov functions
  • On the stability of slowly time-varying linear systems
  • Self-scheduled \({\mathcal H}_ \infty\) control of linear parameter-varying systems: A design example
  • On a stability theorem for nonlinear systems with slowly varying inputs
  • A stability property
  • System analysis via integral quadratic constraints
  • Logarithmic Variation Criteria for the Stability of Systems with Time-Varying Gains
  • Research on gain scheduling
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