The application of generalized diagonal dominance to linear system stability theory

DOI10.1080/00207178208932886zbMath0498.93049OpenAlexW1964543420MaRDI QIDQ3964419

David J. N. Limebeer

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/00207178208932886

zbMATH Keywords

computer-aided designNyquist arraygeneralized diagonal dominancegeneralized block diagonal dominance

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Input-output approaches in control theory (93D25) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Stability of solutions to ordinary differential equations (34D20)

Related Items (16)

An inclusion region for the eigenvalues of partitioned matrices ⋮ Singular-value and eigenvalue techniques in the analysis of systems with structured perturbations ⋮ Non-diagonal controllers in MIMO quantitative feedback design ⋮ Almost decoupling of uncertain multivariable systems ⋮ A model reference quantitative feedback design theory with application to turbomachinery ⋮ Diagonal dominance design of multivariable feedback control systems using the stability-equation method ⋮ New dominance concepts for multivariable control systems design ⋮ On interaction indicators for multivariable systems ⋮ TheL-dominance concept and its applications to multivariable system designs ⋮ Robust stability and structured uncertainty bounded by the Euclidean norm ⋮ Analysis and design of linear multivariable feedback systems in the presence of additive perturbations ⋮ Robust Nyquist array methodology : a new theoretical framework for analysis and design of robust multivariable feedback systems ⋮ Simultaneous Achievement of Open and Closed Loop Diagonal Dominance Through Constant Feedback ⋮ An improved non‐sequential multi‐input multi‐output quantitative feedback theory design methodology ⋮ Procedure to achieve diagonal dominance using a PI/PID controller structure ⋮ Non‐sequential MIMO QFT control of the X‐29 aircraft using a generalized formulation

Cites Work

• Block diagonally dominant matrices and generalizations of the Gerschgorin circle theorem
• Achieving diagonal dominance
• On the generalized nyquist stability criterion
• Control system design and analysis using closed-loop Nyquist and Bode arrays
• On the generalized Nyquist stability criterion
• Bounds for closed-loop transfer functions of multivariable systems
• The generalized Nyquist stability criterion and multivariable root loci
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