Eigenvalue clustering in subregions of the complex plane for interval dynamic systems

DOI10.1080/00207729308949532zbMath0780.93076OpenAlexW2056088792MaRDI QIDQ4693331

Huey-Yang Horng, Ing-Rong Horng, Jyh-Horng Chou

Publication date: 17 August 1993

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207729308949532

zbMATH Keywords

interval matriceseigenvalue clustering

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)

Related Items (5)

Robust decentralized eigenvalues clustering for multi-time-scale systems with perturbations ⋮ Parameter bounds for root clustering of uncertain matrices ⋮ On the estimation of eigenvalue regions for discrete time-delay systems with a class of highly structured perturbations ⋮ Robust-optimal Active Vibration Controllers Design of Flexible Mechanical Systems via Orthogonal Function Approach and Genetic Algorithm ⋮ Robust pole clustering in a good ride quality region of aircraft for matrices with structured uncertainties

Cites Work

• Simple criteria for stability of interval matrices
• Sufficient conditions for stability of interval matrices
• Perturbation bounds for robust stability in linear state space models
• Root clustering of a real matrix in an algebraic region
• Linear matrix equations and root clustering
• Robustness of discrete systems under structured uncertainties
• Robust stability bounds on time-varying perturbations for state-space models of linear discrete-time systems
• A general theory for matrix root-clustering in subregions of the complex plane
• Lyapunov bounds for root clustering in the presence of system uncertainty

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