For an uncertain system described by convex combination of interval polynomials, its Hurwitz-stability can be guaranteed by, certain subset composed of vertices and edges. Furthermore, the testing set does not increas...For an uncertain system described by convex combination of interval polynomials, its Hurwitz-stability can be guaranteed by, certain subset composed of vertices and edges. Furthermore, the testing set does not increase when the order of given system increases.展开更多
In this paper some new results for general orthogonal polynomials on infinite intervals are presented. In particular, an answer to Problem 54 of P. Turan[J. Approximation Theory, 29(1980),P.64] is given.
In this paper, a new stability criterion for positive-coefficient polynomial is given. Then the problem about the robust stability for an interval-polynomial is investigated and some new stability criterions for inter...In this paper, a new stability criterion for positive-coefficient polynomial is given. Then the problem about the robust stability for an interval-polynomial is investigated and some new stability criterions for interval-polynomials are obtained. The coefficient perturbation bound for stable interval polynomial can be completely determined by the coefficients of polynomial (1.1). So the conclusions of this paper are simple and useful. Several examples in the end of this paper show that the criterions given in this paper are effective.展开更多
文摘For an uncertain system described by convex combination of interval polynomials, its Hurwitz-stability can be guaranteed by, certain subset composed of vertices and edges. Furthermore, the testing set does not increase when the order of given system increases.
基金The Project Supported by National Natural Science Foundation of China
文摘In this paper some new results for general orthogonal polynomials on infinite intervals are presented. In particular, an answer to Problem 54 of P. Turan[J. Approximation Theory, 29(1980),P.64] is given.
基金Supported by the Fund of China Education Ministry.
文摘In this paper, a new stability criterion for positive-coefficient polynomial is given. Then the problem about the robust stability for an interval-polynomial is investigated and some new stability criterions for interval-polynomials are obtained. The coefficient perturbation bound for stable interval polynomial can be completely determined by the coefficients of polynomial (1.1). So the conclusions of this paper are simple and useful. Several examples in the end of this paper show that the criterions given in this paper are effective.
