Root distribution of a polynomial in subregions of complex plane
Modified processes are proposed for directly treating singularities in the Routh array, and procedures are developed for determining the respective orders of simple and/or repeated roots lying on the imaginary axis. The extended Sturm test is developed for determining the root distribution on some s...
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| Veröffentlicht in: | IEEE transactions on automatic control 1993-01, Vol.38 (1), p.173-178 |
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| container_title | IEEE transactions on automatic control |
| container_volume | 38 |
| creator | Tsai, J.S.H. Chen, S.S. |
| description | Modified processes are proposed for directly treating singularities in the Routh array, and procedures are developed for determining the respective orders of simple and/or repeated roots lying on the imaginary axis. The extended Sturm test is developed for determining the root distribution on some specified lines. Moreover, to enhance the Routh stability theorem, the extended Routh theorem for finding the numbers of roots of a polynomial lying within some specified regions is proposed.< > |
| doi_str_mv | 10.1109/9.186335 |
| format | Article |
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The extended Sturm test is developed for determining the root distribution on some specified lines. Moreover, to enhance the Routh stability theorem, the extended Routh theorem for finding the numbers of roots of a polynomial lying within some specified regions is proposed.< ></description><subject>Adaptive control</subject><subject>Adaptive systems</subject><subject>Applied sciences</subject><subject>Automatic control</subject><subject>Computer science; control theory; systems</subject><subject>Control system analysis</subject><subject>Control theory. 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| identifier | ISSN: 0018-9286 |
| ispartof | IEEE transactions on automatic control, 1993-01, Vol.38 (1), p.173-178 |
| issn | 0018-9286 1558-2523 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_29026875 |
| source | IEEE Electronic Library (IEL) |
| subjects | Adaptive control Adaptive systems Applied sciences Automatic control Computer science control theory systems Control system analysis Control theory. Systems Exact sciences and technology Polynomials Programmable control Robust control Stability analysis Uncertainty |
| title | Root distribution of a polynomial in subregions of complex plane |
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