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

B Jayawardhana; Eugene P Ryan; A R Teel

doi:10.1109/tac.2009.2033754

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

B Jayawardhana, Eugene P Ryan, A R Teel

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

14 Citations (SciVal)

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Abstract

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.

Original language	English
Pages (from-to)	159-164
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	55
Issue number	1
DOIs	https://doi.org/10.1109/tac.2009.2033754
Publication status	Published - 13 Jan 2010

Keywords

iISS approach
dissipative nonlinear systems
integral input-to-state stability
bounded-energy-input
convergent-state property

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10.1109/tac.2009.2033754

jayawardhana-55-1.pdf
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Cite this

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title = "Bounded-energy-input convergent-state property of dissipative nonlinear systems: an iISS approach",

abstract = "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.",

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KW - iISS approach

KW - dissipative nonlinear systems

KW - integral input-to-state stability

KW - bounded-energy-input

KW - convergent-state property

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

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Keywords

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