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Novel Results on Mesh Stability for a Class of Vehicle Following System with Time Delays

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7367))

Abstract

In this paper, the problem on the mesh stability for a class of vehicle following system with time delays is investigated. Based on the vector Lyapunov function method and inequality technique, several criteria for checking the global exponential stability and global exponential mesh stability are obtained. An example is provided to illustrate the effectiveness of the developed theoretical results.

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References

  1. Caudill, R.E., Garrard, W.L.: Vehicle Follower Longitudinal Control for Automated Transit Vehicles. Journal of Dynamic System, Measurements and Control 99, 241–248 (1977)

    Article  MATH  Google Scholar 

  2. Fenton, B.J.: An Overview of Systems Studies of Automated Highway Systems. IEEE Transactions on Vehicular Technology 40, 82–99 (1991)

    Article  Google Scholar 

  3. Hedrick, J.K., Swaroop, D.: Dynamic Coupling in Vehicles under Automatic Control. Vehicle System Dynamics 23, 209–217 (1994)

    Article  Google Scholar 

  4. Barbieri, E.: Stability Analysis of A Class of Interconnected Systems. Journal of Dynamic System Measurements Control 115, 546–551 (1993)

    Article  MATH  Google Scholar 

  5. Shladover, S.E.: Review of the State of Development of Advanced Vehicle Control Systems(AVCS). Vehicle System Dynamics 24, 551–595 (1995)

    Article  Google Scholar 

  6. Swaroop, D., Hedrick, J.K.: String Stability for A Class of Nonlinear Systems. IEEE Transactions on Automatic Control 41, 349–357 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  7. Eyre, J.: A Simplified Framework for String Stability Analysis of Automated Vehicle. Vehicle System Dynamics 30, 375–405 (1998)

    Article  Google Scholar 

  8. Zhang, J.Y., Yang, Y.R., Zeng, J.: String Stability of Infinite Interconnected System. Applied Mathematics and Mechanics 21, 715–719 (2000)

    Article  MathSciNet  Google Scholar 

  9. Socha, L.: Stochastic Stability of Interconnected String Systems. Chaos, Solitons and Fractals 19, 949–955 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  10. Zhang, J.Y., Suda, Y., Iwasa, T., Komine, H.: Vector Liapunov Function Approach to Longitudinal Control of Vehicles in A Platoon. JSME International Journal(Series C) 47, 653–658 (2004)

    Article  Google Scholar 

  11. Ren, D.B., Zhang, J.Y., Sun, L.F.: Stability Analysis of Vehicle Following System with Delays Based on Vector Liapunov Function. Journal of Traffic and Transportation Engineering 7, 89–92 (2007)

    Google Scholar 

  12. Shi, J.Z., Zhang, J.Y., Xu, X.H.: String Stability of Stochastic Interconnected Systems with Time Delays. Acta Automatica Sinica 36, 1744–1751 (2010)

    Article  MATH  Google Scholar 

  13. Seiler, P., Pant, A., Hedrick, J.K.: Preliminary Investigation of Mesh Stability for Linear Systems. IMECE99/DSC-7B-1 (1999)

    Google Scholar 

  14. Pant, A., Seiler, P., Hedrick, K.: Mesh Stability of Look-Ahead Interconnected Systems. IEEE Transactions on Automatic Control 47, 403–407 (2002)

    Article  MathSciNet  Google Scholar 

  15. Cao, Z.L., Li, T., Zhang, J.Y.: Mesh Exponential Stability of Look-Ahead Interconnected System. Applied Mechanics and Materials 29-32, 847–850 (2010)

    Article  Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Song, Q., Zhang, J. (2012). Novel Results on Mesh Stability for a Class of Vehicle Following System with Time Delays. In: Wang, J., Yen, G.G., Polycarpou, M.M. (eds) Advances in Neural Networks – ISNN 2012. ISNN 2012. Lecture Notes in Computer Science, vol 7367. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31346-2_38

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  • DOI: https://doi.org/10.1007/978-3-642-31346-2_38

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31345-5

  • Online ISBN: 978-3-642-31346-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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