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International Journal of Control Volume 10, 1969 - Issue 2
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Original Articles

Eigenvalue and eigenvector sensitivities in linear systems theoryFootnote†

T. B. CROSSLEY Department of Mechanical Engineering, University of Salford
&
B. PORTER Department of Mechanical Engineering, University of Salford
Pages 163-170 | Received 19 Dec 1968, Published online: 16 Jan 2007

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T. J. OWENS. (1990) Parametric output feedback control with left eigenstructure insensitivity. International Journal of Systems Science 21:8, pages 1603-1630.
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Christophe Pierre. (1989) Root sensitivity to parameter uncertainties: a statistical approach. International Journal of Control 49:2, pages 521-532.
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T. J. OWENS. (1988) Parametric output feedback control with response insensitivity. International Journal of Control 48:3, pages 1213-1239.
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Hisham M. Soliman & Ahmed Bahgat. (1988) Minimum sensitivity pole placer. Dynamics and Stability of Systems 3:1-2, pages 51-56.
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YEN-LEI LING & BOR-CHYUN WANG. (1988) First- and second-order eigensensitivities of matrices with distinct eigenvalues. International Journal of Systems Science 19:7, pages 1053-1067.
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V. GOURISHANKAR & K. RAMAR. (1976) Pole assignment with minimum eigenvalue sensitivity to plant parameter variations. International Journal of Control 23:4, pages 493-504.
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H. Nicholson. (1972) Sequential least-squares prediction based on spectral analysis. International Journal of Computer Mathematics 3:1-4, pages 257-270.
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T. R. CROSSLEY & B. PORTER. (1969) High-order eigenproblem sensitivity methods: theory and application to the design of linear dynamical systems† . International Journal of Control 10:3, pages 315-329.
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Hong Li, Zexi Zhou, Jinchang Pan & Qian Liu. (2023) Time-domain Dynamic-performance-improvement Method for Pulse-width-modulated DC-DC Converters Based on Eigenvalue and Eigenvector Sensitivity. Chinese Journal of Electrical Engineering 9:1, pages 104-119.
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Miao Zhang, Xinxin Xu & Lan Yu. (2022) High-order sensitivity analysis of complex modal parameters and their comparison. Archive of Applied Mechanics 93:3, pages 1123-1138.
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Kenier Castillo & Ion Zaballa. (2022) On a formula of Thompson and McEnteggert for the adjugate matrix. Linear Algebra and its Applications 634, pages 37-56.
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Lu Shi & Konstantinos Karydis. (2021) Enhancement for Robustness of Koopman Operator-based Data-driven Mobile Robotic Systems. Enhancement for Robustness of Koopman Operator-based Data-driven Mobile Robotic Systems.
R.M. Lin, J.E. Mottershead & T.Y. Ng. (2020) A state-of-the-art review on theory and engineering applications of eigenvalue and eigenvector derivatives. Mechanical Systems and Signal Processing 138, pages 106536.
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Jamie Corr, Keith Thompson, Stephan Weiss, Ian K. Proudler & John G. McWhirter. (2015) Row-shift corrected truncation of paraunitary matrices for PEVD algorithms. Row-shift corrected truncation of paraunitary matrices for PEVD algorithms.
G.R. Duan. (2003) Parametric eigenstructure assignment via output feedback based on singular value decompositions. IEE Proceedings - Control Theory and Applications 150:1, pages 93-100.
Crossref
J Lam & H K Tam. (2005) Pole assignment with minimum eigenvalue differential sensitivity. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 211:1, pages 63-74.
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J.B. Simo, I. Kamwa, G. Trudel & S.-A. Tahan. (1996) Validation of a new modal performance measure for flexible controllers design. IEEE Transactions on Power Systems 11:2, pages 819-826.
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Jean-Bertos Simo & Innocent Kamwa. (1995) A New Modal Performance Measure for Power System Stabilizers Optimization. IFAC Proceedings Volumes 28:26, pages 113-121.
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B A White. (2016) Eigenstructure Assignment: A Survey. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 209:1, pages 1-11.
Crossref
M.R. Khaldi, A.K. Sarkar, K.Y. Lee & Y.M. Park. (1993) The modal performance measure for parameter optimization of power system stabilizers. IEEE Transactions on Energy Conversion 8:4, pages 660-666.
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B.H. Lee & K.Y. Lee. (1993) Dynamic and static voltage stability enhancement of power systems. IEEE Transactions on Power Systems 8:1, pages 231-238.
Crossref
Jacek Kabziński. (1990) Eigenvalue-eigenvector sensitivity formulae for linear descriptor systems. Systems & Control Letters 15:3, pages 227-235.
Crossref
Ji-guang Sun. (1990) Multiple eigenvalue sensitivity analysis. Linear Algebra and its Applications 137-138, pages 183-211.
Crossref
A. Y. T. Leung. (2005) Perturbed general eigensolutions. Communications in Applied Numerical Methods 6:5, pages 401-409.
Crossref
Michael G. Gilbert. (1990) An analytical sensitivity method for use in integrated aeroservoelastic aircraft design. Mechanical Systems and Signal Processing 4:3, pages 215-231.
Crossref
M.-I.J. Chang. (1990) Robust pole assignment using closed loop controllability conditions. Robust pole assignment using closed loop controllability conditions.
J.W. Jung, J.B. Choo & Y.M. Park. 1990. Power Systems and Power Plant Control 1989. Power Systems and Power Plant Control 1989 301 306 .
J.W. Jung, J.B. Choo & Y.M. Park. (1989) Optimal PSS-Parameter Selection Algorithm with New Performance Measure. IFAC Proceedings Volumes 22:9, pages 301-306.
Crossref
Owens. (1989) Parametric output feedback control with left eigenstructure insensitivity. Parametric output feedback control with left eigenstructure insensitivity.
T.J. Owens. (1989) Parametric full-state observer with response insensitivity. Parametric full-state observer with response insensitivity.
R.S. Sharp & P.C. Brooks. (1988) Sensitivities of frequency response functions of linear dynamic systems to variations in design parameter values. Journal of Sound and Vibration 126:1, pages 167-172.
Crossref
Durbha V. Murthy & Raphael T. Haftka. (2005) Derivatives of eigenvalues and eigenvectors of a general complex matrix. International Journal for Numerical Methods in Engineering 26:2, pages 293-311.
Crossref
P.C. Brooks & R.S. Sharp. (1987) A computational procedure based on eigenvalue sensitivity theory applicable to linear system design. Journal of Sound and Vibration 114:1, pages 13-18.
Crossref
C. Pierre. (1987) Eigensolution perturbation for systems with perturbed boundary conditions. Journal of Sound and Vibration 112:1, pages 167-172.
Crossref
Haiming Qiu & V. G. Gourishankar. (2006) Design of optimal feedback controllers for minimum eigenvalue sensitivity. Optimal Control Applications and Methods 5:4, pages 309-317.
Crossref
P. Paraskevopoulos, M. Christodoulou & M. Tsakiris. (1984) Eigenvalue-eigenvector sensitivity analysis of linear time-invariant singular systems. IEEE Transactions on Automatic Control 29:4, pages 344-346.
Crossref
D. K. Faddeev & V. N. Faddeeva. (1981) Computational methods of linear algebra. Journal of Soviet Mathematics 15:5, pages 531-650.
Crossref
J. Gary Reid. 1980. Information Linkage Between Applied Mathematics and Industry. Information Linkage Between Applied Mathematics and Industry 179 192 .
J. Gary Reid, Peter S. Maybeck, Robert B. Asher & James D. Dillow. (1976) An algebraic representation of parameter sensitivity in linear time-invariant systems. Journal of the Franklin Institute 301:1-2, pages 123-141.
Crossref
I. Horowitz & U. Shaked. (1975) Superiority of transfer function over state-variable methods in linear time-invariant feedback system design. IEEE Transactions on Automatic Control 20:1, pages 84-97.
Crossref
P. Paraskevopoulos, C. Tsonis & S. Tzafestas. (1974) Eigenvalue sensitivity of linear time-invariant control systems with repeated eigenvalues. IEEE Transactions on Automatic Control 19:5, pages 610-612.
Crossref
Uri Shaked & Isaac Horowitz. (1973) The State Space and Transfer Function Approaches in Practical Linear Multivariable Systems Design *. IFAC Proceedings Volumes 6:2, pages 195-201.
Crossref
A.G.J. Macfarlane. (1972) A survey of some recent results in linear multivariable feedback theory. Automatica 8:4, pages 455-492.
Crossref
Jan Otto Pedersen, Freddy Pøhner & Ole A. Solheim. (1972) Computer Aided Design of Multivariable Control Systems. IFAC Proceedings Volumes 5:1, pages 220-229.
Crossref

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