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连续时间加噪声随机T-S模糊系统的适定性
On the well-posedness of the continuous-time stochastic T-S fuzzy system with additive noise
【摘要】 研究了连续时间加噪声随机T-S模糊系统在Ito∧意义下适定性问题,给出了存在惟一性定理的证明.举例说明了相关文献中所使用的加噪声随机T-S模糊系统模型解不具有均方积分意义下适定性,从而有力地说明了Ito∧积分在加噪声随机T-S模糊系统模型订义中的重要价值.
【Abstract】 The problem of well-posedness of the continuous-time stochastic T-S fuzzy system with additive noise is studied in It stochastic sense.The theorem of the existence and uniqueness of solutions is proved.Regarding a model of the continuous-time stochastic T-S fuzzy system with additive noise addressed in the literature,an example is given to show its well-posedness is not assured in meansquare sense.Above all,this paper shows the importance of the It integral in the definition of the model of stochastic T-S fuzzy system with additive noise.
【关键词】 加噪声;
Ito∧型随机积分;
解的存在惟一性;
适定性;
【Key words】 additive noise; It integral; existence and uniqueness; well-posedness;
【Key words】 additive noise; It integral; existence and uniqueness; well-posedness;
【基金】 国家自然科学基金资助项目(60374022)
- 【文献出处】 纺织高校基础科学学报 ,Basic Sciences Journal of Textile Universities , 编辑部邮箱 ,2005年04期
- 【分类号】O211.63
- 【下载频次】50