Block Lyapunov sum with applications to integral controllability and maximal stability of singularly perturbed systems

DOI10.1080/00207179508921892zbMath0817.93009OpenAlexW1974322989MaRDI QIDQ4698742

Denis Mustafa

Publication date: 11 May 1995

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179508921892

zbMATH Keywords

singularly perturbed systemsKronecker sumLyapunov matrixpartitioned matricesmaximal stabilityintegral controllabilityblock-structured Lyapunov sum

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) System structure simplification (93B11) Singular perturbations of ordinary differential equations (34D15) Basic linear algebra (15A99)

Related Items (6)

Block bialternate sum and associated stability formulae ⋮ A new characterization of stability bounds for singularly perturbed systems ⋮ Improvement on stability bounds for singularly perturbed systems via state feedback ⋮ Unnamed Item ⋮ Maximal stability bounds of singularly perturbed systems ⋮ Lyapunov-based exact stability analysis and synthesis for linear single-parameter dependent systems

Cites Work

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• Conditions for a matrix to have only characteristic roots with negative real parts
• Robust stability of systems with integral control
• Block Kronecker Products and Block Norm Matrices in Large-Scale Systems Analysis
• Kronecker products and matrix calculus in system theory
• Stability bounds of singularity perturbed systems
• On the stability bounds of singularly perturbed systems

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