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Dual Matrix Inequalities in Stability and Performance Analysis of Linear Differential/Difference Inclusions

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Current Trends in Nonlinear Systems and Control

Part of the book series: Systems and Control: Foundations & Applications ((SCFA))

Summary

This chapter provides numerical examples to illustrate the recent results by the authors relating asymptotic stability and dissipativity of a linear differential or difference inclusion to these properties for the corresponding dual linear differential or difference inclusion. It is shown how this duality theory broadens the applicability of numerical algorithms for stability and performance analysis that have appeared previously in the literature.

Research by T. Hu and A.R. Teel was supported in part by the ARO under Grant no. DAAD19-03-1-0144, the NSF under Grant no. ECS-0324679, and by the AFOSR under Grant no. F49620-03-1-0203.

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Author information

Authors and Affiliations

  1. P.O. Box 15172, Seattle, WA, 98115, USA

    Rafal Goebel

  2. Center for Control Engineering and Computation, Electrical and Computer Engineering, University of California, Santa Barbara, CA, 93106, USA

    Tingshu Hu & Andrew R. Teel

Authors
  1. Rafal Goebel
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  2. Tingshu Hu
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  3. Andrew R. Teel
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Editor information

Editors and Affiliations

  1. Dipartimento di Informatica Sistemi e Produzione, Università di Roma “Tor Vergata”, Via del Politecnico 1, I-00133, Roma, Italia

    Laura Menini  & Luca Zaccarian  & 

  2. Department of Electrical and Computer Engineering, University of New Mexico, EECE Building MSC01 1100, Albuquerque, NM, 87131-0001, USA

    Chaouki T. Abdallah

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© 2006 Birkhäuser Boston

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Goebel, R., Hu, T., Teel, A.R. (2006). Dual Matrix Inequalities in Stability and Performance Analysis of Linear Differential/Difference Inclusions. In: Menini, L., Zaccarian, L., Abdallah, C.T. (eds) Current Trends in Nonlinear Systems and Control. Systems and Control: Foundations & Applications. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4470-9_6

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