A new characterization of stability bounds for singularly perturbed systems

DOI10.1016/S0024-3795(96)00597-6zbMath0880.34054WikidataQ126420729 ScholiaQ126420729MaRDI QIDQ1368777

Wanquan Liu, Victor Sreeram

Publication date: 2 February 1998

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

stabilityupper boundsystem matrixsingularly perturbed systemsminimum positive eigenvaluerobust-control problems

Mathematics Subject Classification ID

Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Singular perturbations of ordinary differential equations (34D15) Singular perturbations for ordinary differential equations (34E15)

Related Items (1)

\(H_\infty\) control of discrete-time singularly perturbed systems via static output feedback

Cites Work

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• Singular perturbations and time-scale methods in control theory: Survey 1976-1983
• Characterization and computation for the bound \(\epsilon\) * in linear time-invariant singularly perturbed systems
• Robust stability of systems with application to singular perturbations
• Conditions for a matrix to have only characteristic roots with negative real parts
• Uniform asymptotic stability of systems of differential equations with a small parameter in the derivative terms
• Block Lyapunov sum with applications to integral controllability and maximal stability of singularly perturbed systems
• Stability bounds of singularity perturbed systems
• On the stability bounds of singularly perturbed systems

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