In this note a result about Hadamard product of Hurwitz interval polynomials is used, to establish su$cient conditions so that the Hadamard product of SPR functions should be a SPR function. We generalize this result for families of SPR functions. Finally, we give a result about preservation of stab
Invariance of stability properties of Hadamard and Szegö product polynomials
✍ Scribed by N.K. Bose; J. Gregor
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 386 KB
- Volume
- 334
- Category
- Article
- ISSN
- 0016-0032
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✦ Synopsis
It is shown that the integral representation of the Hadamard product operation of coef;fieient-wise multiplication of two polynomials, recently proved to keep the Hurwitz property invariant, provides interesting links to results in linear time-invariant discrete-time system theory. It is also pointed out that the invariance of the Schur property for stability of discrete-time systems, though known to be invalid under the Hadamardproduct operation, holds true under the operation composition. Various other related results on invariance are also included.
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