A necessary and sufficient condition for the positive-definiteness of interval symmetric matrices

DOI10.1080/00207178608933468zbMath0613.65042OpenAlexW2082398776MaRDI QIDQ4720679

Zhi-Cheng Shi, Weibin Gao

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/00207178608933468

zbMATH Keywords

stabilityinterval analysiscontrol theorytime-dependent symmetric real matrices

Mathematics Subject Classification ID

Related Items (19)

A sufficient condition for stability of a polytope of matrices ⋮ Matrix perturbation method for the vibration problem of structures with interval parameters ⋮ Positive definiteness of Hermitian interval matrices ⋮ Independent of delay stability criteria for uncertain linear state space models ⋮ Perturbation method for computing eigenvalue bounds in structural vibration systems with interval parameters ⋮ Natural frequencies of structures with uncertain but nonrandom parameters ⋮ Maximal unidirectional perturbation bounds for stability of polynomials and matrices ⋮ Lyapunov stability robust analysis and robustness design for linear continuous-time systems ⋮ Stability of interval parameter matrices ⋮ Stability analysis of interval matrices: improved bounds ⋮ Sufficient condition for the positive definiteness of symmetric interval matrices ⋮ A survey of extreme point results for robustness of control systems ⋮ Stability for several types of interval matrices ⋮ An analytical model for solving generalized interval eigenvalue problem ⋮ Sufficient conditions for the stability of interval matrices ⋮ Spectrally stable matrices ⋮ On the stability of differential systems with time lag ⋮ Reduced conservatism in stability analysis of interval matrices ⋮ Minimax guaranteed cost control for linear continuous-time systems with large parameter uncertainty

Cites Work

• Counter-example to a recent result on the stability of interval matrices by S. Bialas
• Comments on ‘ A necessary and sufficient condition for the stability of interval matrices ’†
• Sufficient conditions for stability of interval matrices
• A necessary and sufficient condition for the stability of interval matrices

This page was built for publication: A necessary and sufficient condition for the positive-definiteness of interval symmetric matrices