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Convergence analysis of ILC input sequence for underdetermined linear systems

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References

  1. Shen D, Wang Y. Survey on stochastic iterative learning control. J Process Control, 2014, 24: 64–77

    Article  Google Scholar 

  2. Saab S S. A discrete-time stochastic learning control algorithm. IEEE Trans Autom Control, 2001, 46: 877–887

    Article  MathSciNet  MATH  Google Scholar 

  3. Chen H F. Almost sure convergence of iterative learning control for stochastic systems. Sci China Ser F-Inf Sci, 2003, 46: 67–79

    Article  MathSciNet  MATH  Google Scholar 

  4. Saab S S. Selection of the learning gain matrix of an iterative learning control algorithm in presence of measurement noise. IEEE Trans Autom Control, 2005, 50: 1761–1774

    Article  MathSciNet  Google Scholar 

  5. Freeman C T, Tan Y. Iterative learning control with mixed constraints for point-to-point tracking. IEEE Trans Control Syst Tech, 2013, 21: 604–616

    Article  Google Scholar 

  6. Shen D, Wang Y. Iterative learning control for stochastic point-to-point tracking system. In: Proceedings of the 12th International Conference on Control, Automation, Robotics and Vision, Guangzhou, 2012. 480–485

    Google Scholar 

  7. Kaczmarz S. Approximate solution of systems of linear equations. Int J Control, 1993, 57: 1269–1271

    Article  MathSciNet  MATH  Google Scholar 

  8. Thoppe G, Borkar V S, Manjunath D. A stochastic Kaczmarz algorithm for network tomography. Automatica, 2014, 50: 910–914

    Article  MathSciNet  MATH  Google Scholar 

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Acknowledgments

This work was supported by National Natural Science Foundation of China (Grant Nos. 61673045, 61304085, 61374099) and Beijing Natural Science Foundation (Grant No. 4152040).

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Correspondence to Dong Shen.

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The authors declare that they have no conflict of interest.

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Shen, D., Han, J. & Wang, Y. Convergence analysis of ILC input sequence for underdetermined linear systems. Sci. China Inf. Sci. 60, 099201 (2017). https://doi.org/10.1007/s11432-016-0174-2

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  • DOI: https://doi.org/10.1007/s11432-016-0174-2