On the Robust Stability of 2D Schur Polynomials

N. E. Mastorakis
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N. E. Mastorakis: Hellenic Naval Academy, Military Institutions of University Education, Terma Hatzikyriakou

Journal of Optimization Theory and Applications, 2000, vol. 106, issue 2, No 11, 439 pages

Abstract: Abstract In this note, the problem of the robust stability for a two-dimensional (two-variable) Schur polynomial which is the characteristic polynomial of a discrete-time linear time-invariant system is investigated. A new approach based on the Rouché theorem is adopted. The extension to the robust stability for multidimensional (multivariable) polynomials is also provided. Interesting sufficient conditions for such robust stability are derived. A two-dimensional example is included to support the theoretical result.

Keywords: multidimensional polynomial theory; robustness; Kharitonov theorem; stability; Schur polynomials; inverse Kharitonov problem; Rouché theorem (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1023/A:1004615917160

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