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Modeling and stability issues in hybrid systems

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Hybrid Systems II (HS 1994)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 999))

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Abstract

Classical modeling of physical systems relies on differential-difference type equations. However many systems today contain logical quantities and discrete decision makers. For these type of systems the classical modeling approach is either not sufficient or only represents some portion of the system. We develop a hybrid system formulation to study systems with both discrete and continuous quantities.

Here we describe discrete state and hybrid systems, and attempt to further understand their construction and behavior. We specifically consider stability issues for hybrid systems. Furthermore we discuss how to control hybrid systems by possibly using hybrid controllers so that we will be able to build more and more sophisticated intelligent machines.

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References

  1. M. Doğruel, “Discrete State Control Systems,” M.S. Thesis, Dept. of Electrical Eng., The Ohio State University, June 1992.

    Google Scholar 

  2. M. Doğruel and ü. özgüner, “Controllability, Reachability, Stabilizability and State Reduction in Automata,” Proceedings of 1992 IEEE International Symposium on Intelligent Control, (Scotland, UK), Aug. 1992.

    Google Scholar 

  3. M. Doğruel, S. Drakunov and ü. özgüner, “Sliding Mode Control of Discrete State Systems,” Proceedings of the 32nd Conference on Decision and Control, (San Antonio, Texas), Dec. 1993.

    Google Scholar 

  4. S. Drakunov, M. Doğruel and ü.özgüner, “Sliding Mode Control in Hybrid Systems,” Proceedings of 1993 IEEE International Symposium on Intelligent Control, (Chicago, Illinois), Aug. 1993.

    Google Scholar 

  5. M. Doğruel and ü. özgüner, “Discrete State and Hybrid Systems,” The Third Turkish Symposium on Artificial Intelligence and Neural Networks, (Ankara, Turkey), June 1994.

    Google Scholar 

  6. X. R. Cao and Y. C. Ho, “Models of Discrete Event Dynamic Systems,” IEEE Control Systems Magazine, June 1990.

    Google Scholar 

  7. A. F. Filippov, Diferential Equations with Discontinuous Righthand Sides, Kluwer Acedemic Publishers, 1988.

    Google Scholar 

  8. D. Shevitz and B. Paden, “Lyapunov Stability Theory of Nonsmooth Systems,” IEEE Trans. Aut. Control, v. 39, n. 9, Sep. 1994.

    Google Scholar 

  9. K. M. Passino and ü. özgüner, “Modeling and Analysis of Hybrid Systems: Examples,” Proceedings of 1991 IEEE International Symposium on ntelligent Control, (Arlington, VA), Aug. 1991.

    Google Scholar 

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Panos Antsaklis Wolf Kohn Anil Nerode Shankar Sastry

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© 1995 Springer-Verlag Berlin Heidelberg

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Doğruel, M., özgüner, ü. (1995). Modeling and stability issues in hybrid systems. In: Antsaklis, P., Kohn, W., Nerode, A., Sastry, S. (eds) Hybrid Systems II. HS 1994. Lecture Notes in Computer Science, vol 999. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60472-3_8

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  • DOI: https://doi.org/10.1007/3-540-60472-3_8

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60472-3

  • Online ISBN: 978-3-540-47519-4

  • eBook Packages: Springer Book Archive

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