An inverse eigenvalue problem for damped gyroscopic second-order systems.
Yuan, Yongxin (2009)
Mathematical Problems in Engineering
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Yuan, Yongxin (2009)
Mathematical Problems in Engineering
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Franco Blanchini (1991)
Kybernetika
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Eric Chu (2001)
International Journal of Applied Mathematics and Computer Science
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Some elementary optimization techniques, together with some not so well-known robustness measures and condition numbers, will be utilized in pole assignment. In particular, ''Method 0'' by Kautsky et al. (1985) for optimal selection of vectors is shown to be convergent to a local minimum, with respect to the condition number . This contrasts with the misconception by Kautsky et al. that the method diverges, or the recent discovery by Yang and Tits (1995) that the method converges to...
Taha H. S. Abdelaziz, Michael Valášek (2005)
Kybernetika
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This paper introduces a complete parametric approach for solving the eigenstructure assignment problem using proportional-plus-derivative feedback for second-order linear control systems. In this work, necessary and sufficient conditions that ensure the solvability for the second-order system are derived. A parametric solution to the feedback gain matrix is introduced that describes the available degrees of freedom offered by the proportional-plus-derivative feedback in selecting the...
Hua Dai (1999)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Wu, Chunhong, Lu, Linzhang (2009)
Discrete Dynamics in Nature and Society
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Vanesa Cortés, Juan Peña, Tomas Sauer (2012)
Open Mathematics
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We present an extension of the QR method to simultaneously compute the joint eigenvalues of a finite family of commuting matrices. The problem is motivated by the task of finding solutions of a polynomial system. Several examples are included.