Input-to-state stability of soft-reset systems with nonlinear data

Mathematics of Control, Signals and Systems - Tập 35 - Trang 523-540 - 2023
Matina Baradaran Hosseini1, Justin H. Le1, Andrew R. Teel1
1Department of Electrical and Computer Engineering, University of California, Santa Barbara, USA

Tóm tắt

Input-to-state stability (ISS) is considered for a nonlinear “soft-reset” system with inputs. The latter is a system that approximates a hard-reset system, which is modeled as a hybrid system with inputs. In contrast, a soft-reset system is modeled as a differential inclusion with inputs. Lyapunov conditions on the hard-reset system are given that guarantee ISS for the soft-reset system. In turn, it is shown when global asymptotic stability for the origin of the zero-input reset system guarantees ISS for nonzero inputs. Examples are given to demonstrate the theory.

Tài liệu tham khảo

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