Stability tests for 2-D systems using the Schwarz form and the inners determinants
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Kanellakis, A
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Tzafestas, S
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Theodorou, N
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New stability tests for two-dimensional (2-D) (discrete/continuous) systems using the Schwarz form and the concept of inner determinants are presented. The properties of the Schwarz matrix are used for checking the stability of 2-D systems in state-space. Two innerwise matrices that have inner determinants equivalent to the principal minors of the Hermitian Schur-Cohn/Hermite matrix are introduced. The implementation of these new stability tests for discrete/continuous 2-D systems is discussed. The proposed methods offer a simplification by not requiring the positivity of many polynomials. The theoretical results are illustrated by nontrivial examples.
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journalArticle
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Hurwitz Polynomial
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Continuous System
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Hermitian Schur-Cohn/Hermite Matrix
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Mathematical Techniques - State Space Methods
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