Some Applications of a Polynomial Inequality to Global Optimization
โ Scribed by J. F. Zhang; C. P. Kwong
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 106 KB
- Volume
- 127
- Category
- Article
- ISSN
- 0022-3239
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๐ SIMILAR VOLUMES
In this paper, we investigate the performance of optimal polynomial control for the vibration suppression of a benchmark problem; namely, the active tendon system. The optimal polynomial controller is a summation of polynomials of different orders, i.e., linear, cubic, quintic, etc., and the gain ma
Let p n z be a polynomial of degree n and D ฮฑ p n z its polar derivative. It has been proved that if p n z has no zeros in z < 1, then for ฮด โฅ 1 and ฮฑ โฅ 1, 2ฯ 0 D ฮฑ p n e iฮธ ฮด dฮธ 1/ฮด โค n ฮฑ + 1 F ฮด 2ฯ 0 p n e iฮธ ฮด dฮธ 1/ฮด where F ฮด = 2ฯ/ 2ฯ 0 1 + e iฮธ ฮด dฮธ 1/ฮด . We also obtain analogous inequalities