Lie Derivative Inclusion for a Class of Polynomial State Feedback Controls
نویسندگان
چکیده
منابع مشابه
A Bound for the Nilpotency Class of a Lie Algebra
In the present paper, we prove that if L is a nilpotent Lie algebra whose proper subalge- bras are all nilpotent of class at most n, then the class of L is at most bnd=(d 1)c, where b c denotes the integral part and d is the minimal number of generators of L.
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For a polynomial p(z) of degree n, having all zeros in |z|< k, k< 1, Dewan et al [K. K. Dewan, N. Singh and A. Mir, Extension of some polynomial inequalities to the polar derivative, J. Math. Anal. Appl. 352 (2009) 807-815] obtained inequality between the polar derivative of p(z) and maximum modulus of p(z). In this paper we improve and extend the above inequality. Our result generalizes certai...
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توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی
15 صفحه اولLie Brackets and Stabilizing Feedback Controls
The relation between a class of high-order control variations and the asymptotic stabilizability of a smooth control system is brie y discussed. Assuming that there exist high-order control variations "pointing" to a closed set at every point of some its neighborhood, an approach for constructing stabilizing feedback controls is proposed. Two illustrative examples are also presented. 1 High-ord...
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For every $1leq s< n$, the $s^{th}$ derivative of a polynomial $P(z)$ of degree $n$ is a polynomial $P^{(s)}(z)$ whose degree is $(n-s)$. This paper presents a result which gives generalizations of some inequalities regarding the $s^{th}$ derivative of a polynomial having zeros outside a circle. Besides, our result gives interesting refinements of some well-known results.
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ژورنال
عنوان ژورنال: Transactions of the Institute of Systems, Control and Information Engineers
سال: 2014
ISSN: 1342-5668,2185-811X
DOI: 10.5687/iscie.27.423