Stability criteria for multivariable polynomials

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Stability criteria for multivariable polynomials

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© The Institution of Electrical Engineers
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Algebraic criteria are proposed for testing stability properties of multivariable polynomials. The tests are recursive and can be executed in finite number of steps.

Inspec keywords: polynomials; stability criteria

Other keywords: stability criteria; multivariable polynomials; algebraic criteria

Subjects: Algebra; Algebra; Stability in control theory

References

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      • D.D. Šiljak . Nonnegative polynomials: a criterion. Proc. Inst. Elec. Electron. Eng , 1370 - 1371
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      • N.K. Bose , E.I. Jury . Positivity and stability tests for multidimensional filters (discrete-continuous). IEEE Trans.
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      • D.D. Šiljak . Stability criteria for two-variable polynomials. IEEE Trans. , 185 - 189
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      • Jury, E.I.: `Stability of multidimensional discrete and continuous filters: inners approach', Proceedings of IEEE international symposium on circuits systems, 1974, San Francisco, Calif., p. 70–75.
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      • N.K. Bose , P.S. Kamat . Algorithm for stability test of multidimensional filters. IEEE Trans. , 307 - 314
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      • H.G. Ansell . On certain two-variable generalizations of circuit theory with applications to networks of transmission lines and lumped reactances. IEEE Trans. , 214 - 223
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      • D.D. Šiljak . New algebraic criteria for positive realness. J. Franklin. Inst. , 109 - 120
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      • J.S. Karmarkar . On Siljak's absolute stability test. Proc. Inst. Elec. Electron. Eng. , 817 - 819
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