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A Feedback Control Motivation for Generalized Solutions to Hybrid Systems

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Hybrid Systems: Computation and Control (HSCC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3927))

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Abstract

Several recent results in the area of robust asymptotic stability of hybrid systems show that the concept of a generalized solution to a hybrid system is suitable for the analysis and design of hybrid control systems. In this paper, we show that such generalized solutions are exactly the solutions that arise when measurement noise is present in the system.

Research partially supported by the Army Research Office under Grant no. DAAD19-03-1-0144, the National Science Foundation under Grant no. CCR-0311084 and Grant no. ECS-0324679, and by the Air Force Office of Scientific Research under Grant no. F49620-03-1-0203.

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Authors and Affiliations

  1. Center for Control, Dynamical Systems, and Computation, Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA, 93106-9560, USA

    Ricardo G. Sanfelice, Rafal Goebel & Andrew R. Teel

Authors
  1. Ricardo G. Sanfelice
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  2. Rafal Goebel
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  3. Andrew R. Teel
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Editor information

Editors and Affiliations

  1. Center for Control, Dynamical Systems and Computation, University of California, 93106, Santa Barbara, CA, USA

    João P. Hespanha

  2. SRI International, 333 Ravenswood Ave, Menlo Park, CA, USA

    Ashish Tiwari

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© 2006 Springer-Verlag Berlin Heidelberg

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Sanfelice, R.G., Goebel, R., Teel, A.R. (2006). A Feedback Control Motivation for Generalized Solutions to Hybrid Systems. In: Hespanha, J.P., Tiwari, A. (eds) Hybrid Systems: Computation and Control. HSCC 2006. Lecture Notes in Computer Science, vol 3927. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11730637_39

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  • DOI: https://doi.org/10.1007/11730637_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-33170-4

  • Online ISBN: 978-3-540-33171-1

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