TY - GEN
T1 - Incrementally passive infinite dimensional systems with a constrained state variable
AU - Singh, Shantanu
AU - Fueyo, Sébastien
AU - Weiss, George
N1 - Publisher Copyright:
© 2023 IEEE.
PY - 2023
Y1 - 2023
N2 - In this paper, we show that the passivity property of a linear infinite dimensional system, with respect to a given supply rate, is preserved in the presence of a saturating integrator, which restricts a one dimensional component of the state to a compact interval. The resulting nonlinear system is incrementally passive with the same supply rate. We give an application of our main result to a boundary controlled string equation, where the displacement of the string at some interior point is restricted to a compact interval.
AB - In this paper, we show that the passivity property of a linear infinite dimensional system, with respect to a given supply rate, is preserved in the presence of a saturating integrator, which restricts a one dimensional component of the state to a compact interval. The resulting nonlinear system is incrementally passive with the same supply rate. We give an application of our main result to a boundary controlled string equation, where the displacement of the string at some interior point is restricted to a compact interval.
UR - http://www.scopus.com/inward/record.url?scp=85184826860&partnerID=8YFLogxK
U2 - 10.1109/CDC49753.2023.10383643
DO - 10.1109/CDC49753.2023.10383643
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AN - SCOPUS:85184826860
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 1937
EP - 1942
BT - 2023 62nd IEEE Conference on Decision and Control, CDC 2023
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 62nd IEEE Conference on Decision and Control, CDC 2023
Y2 - 13 December 2023 through 15 December 2023
ER -