2008年
Semi-algebraic problem approach for stability analysis of a class of nonlinear stochastic delay system
2008 AMERICAN CONTROL CONFERENCE, VOLS 1-12
- 開始ページ
- 5258
- 終了ページ
- 5263
- 記述言語
- 英語
- 掲載種別
- 研究論文(国際会議プロシーディングス)
- 出版者・発行元
- IEEE
In this paper we give a delay dependent stability criterion for stochastic delay systems with polynomial nonlinearity. An important benefit of this result is that when an invariant set of the system is available, we can incorporate this information to reduce the conservativeness. The resulting condition is given in terms of a semi-algebraic problem which is known to be efficiently solvable via sums of squares (SOS) relaxations. This work is originally motivated by the design of quantum spin control systems in the face of feedback delays. The effectiveness of the proposed method is evaluated by designing a globally stabilizing control law for the spin-1/2 system.
- リンク情報
- ID情報
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- ISSN : 0743-1619
- Web of Science ID : WOS:000259261503219