Bounded-energy-input convergent-state property of dissipative nonlinear systems: an iISS approach


Jayawardhana, B., Ryan, E. P. and Teel, A. R., 2010. Bounded-energy-input convergent-state property of dissipative nonlinear systems: an iISS approach. IEEE Transactions on Automatic Control, 55 (1), pp. 159-164.

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    For a class of dissipative nonlinear systems, it is shown that an iISS gain can be computed directly from the corresponding supply function. The result is used to prove the convergence to zero of the state whenever the input signal has bounded energy, where the energy functional is determined by the supply function.


    Item Type Articles
    CreatorsJayawardhana, B., Ryan, E. P. and Teel, A. R.
    Uncontrolled Keywordsiiss approach,dissipative nonlinear systems,integral input-to-state stability,bounded-energy-input,convergent-state property
    DepartmentsFaculty of Science > Mathematical Sciences
    Publisher Statementjayawardhana-55-1.pdf: Copyright © 2010 IEEE. Reprinted from IEEE Transactions on Automatic Control. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Bath’s products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
    ID Code17801


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