Boundary testing of stability for the family of nonlinear parametrized real polynomials

✍ Scribed by En-Ping Wang; Zhi-Yong Geng

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 257 KB
• Volume: 7
• Category: Article
• ISSN: 1049-8923
• DOI: 10.1002/(sici)1099-1239(199711)7:11<989::aid-rnc247>3.0.co;2-m

✦ Synopsis

This paper studies the robust stability of the polynomials which are parametrized in a nonlinear way by the establishment of the concept of single-directed conditional extreme value. The necessary and sufficient condition to determine the stability of the family of polynomials by testing the boundary of the parameter domain is presented for the situation when the mapping from parameter space to the coefficient space is continuous. Therefore the method of boundary testing used for checking the stability of linearly parametrized polynomials is generalized to a class of polynomials which satisfies the conditions given in this paper.