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Common Lyapunov function approach to matrix root clustering

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Publication:5958148
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DOI10.1016/S0167-6911(01)00128-1zbMath0986.93034WikidataQ128037168 ScholiaQ128037168MaRDI QIDQ5958148

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Publication date: 3 March 2002

Published in: Systems \& Control Letters (Search for Journal in Brave)


zbMATH Keywords

common Lyapunov functionLyapunov inequalitymatrix root clusteringsector region


Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Eigenvalue problems (93B60)


Related Items (1)

Unifying Matrix Stability Concepts with a View to Applications


Uses Software

  • LMI toolbox


Cites Work

  • Root clustering in parameter space
  • Robust root clustering for linear uncertain systems using generalized Lyapunov theory
  • Root clustering of a complex matrix in an algebraic region
  • Matrix Analysis
  • A common Lyapunov function for stable LTI systems with commuting A-matrices
  • Linear Matrix Inequalities in System and Control Theory
  • A simple test for zeros of a complex polynomial in a sector
  • A general theory for matrix root-clustering in subregions of the complex plane


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