# Input-to-state stability with respect to measurement disturbances for one-dimensional systems

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 4, page 99-121
- ISSN: 1292-8119

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topNicolas Chung Siong Fah. "Input-to-state stability with respect to measurement disturbances for one-dimensional systems." ESAIM: Control, Optimisation and Calculus of Variations 4 (2010): 99-121. <http://eudml.org/doc/197344>.

@article{NicolasChungSiongFah2010,

abstract = {
We consider one-dimensional affine control systems. We show
that if such a system is stabilizable by means of a continuous, time-invariant
feedback, then it can be made input-to-state stable with
respect to measurement disturbances, using a continuous,
periodic time-varying feedback. We provide counter-examples showing
that the result does not generally hold if we want the feedback to be time-invariant
or if the control system is not supposed affine.
},

author = {Nicolas Chung Siong Fah},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Input-to-state stability; stabilization; measurement errors.; input-to-state stability; one-dimensional systems; periodic feedback; measurement disturbances},

language = {eng},

month = {3},

pages = {99-121},

publisher = {EDP Sciences},

title = {Input-to-state stability with respect to measurement disturbances for one-dimensional systems},

url = {http://eudml.org/doc/197344},

volume = {4},

year = {2010},

}

TY - JOUR

AU - Nicolas Chung Siong Fah

TI - Input-to-state stability with respect to measurement disturbances for one-dimensional systems

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 4

SP - 99

EP - 121

AB -
We consider one-dimensional affine control systems. We show
that if such a system is stabilizable by means of a continuous, time-invariant
feedback, then it can be made input-to-state stable with
respect to measurement disturbances, using a continuous,
periodic time-varying feedback. We provide counter-examples showing
that the result does not generally hold if we want the feedback to be time-invariant
or if the control system is not supposed affine.

LA - eng

KW - Input-to-state stability; stabilization; measurement errors.; input-to-state stability; one-dimensional systems; periodic feedback; measurement disturbances

UR - http://eudml.org/doc/197344

ER -

## References

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