Stability tests for 2-D systems using the Schwarz form and the inners determinants

 
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1991 (EN)
Stability tests for 2-D systems using the Schwarz form and the inners determinants (EN)

Kanellakis, A (EN)
Tzafestas, S (EN)
Theodorou, N (EN)

N/A (EN)

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. (EN)

journalArticle

Hurwitz Polynomial (EN)
Continuous System (EN)
Hermitian Schur-Cohn/Hermite Matrix (EN)
Mathematical Techniques - State Space Methods (EN)
Discrete/Continuous Systems (EN)
System Stability (EN)
Inner Determinants (EN)
Mathematical Techniques - Polynomials (EN)
State Space (EN)
Mathematical Transformations - Z Transforms (EN)

Εθνικό Μετσόβιο Πολυτεχνείο (EL)
National Technical University of Athens (EN)

IEEE transactions on circuits and systems (EN)

1991


IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC (EN)



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