Input to state stability properties of nonlinear systems and applications to bounded feedback stabilization using saturation

Tsinias, J.. "Input to state stability properties of nonlinear systems and applications to bounded feedback stabilization using saturation ." ESAIM: Control, Optimisation and Calculus of Variations 2 (2010): 57-87. <http://eudml.org/doc/116564>.

@article{Tsinias2010,
abstract = { The concepts of stability, attractivity and asymptotic stability for systems subject to restrictions of the input values are introduced and analyzed in terms of Lyapunov functions. A comparison with the well known input-to-state stability property introduced by Sontag is provided. We use these concepts in order to derive sufficient conditions for global stabilization for triangular and feedforward systems by means of saturated bounded feedback controllers and also recover some recent results due to Teel. },
author = {Tsinias, J.},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {input stability; output stability; nonlinear systems; input constraints; state constraints; ISS stability; triangular forms; uniform global asymptotic stability; feedforward systems; integrator},
language = {eng},
month = {3},
pages = {57-87},
publisher = {EDP Sciences},
title = {Input to state stability properties of nonlinear systems and applications to bounded feedback stabilization using saturation },
url = {http://eudml.org/doc/116564},
volume = {2},
year = {2010},
}

TY - JOUR
AU - Tsinias, J.
TI - Input to state stability properties of nonlinear systems and applications to bounded feedback stabilization using saturation
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 2
SP - 57
EP - 87
AB - The concepts of stability, attractivity and asymptotic stability for systems subject to restrictions of the input values are introduced and analyzed in terms of Lyapunov functions. A comparison with the well known input-to-state stability property introduced by Sontag is provided. We use these concepts in order to derive sufficient conditions for global stabilization for triangular and feedforward systems by means of saturated bounded feedback controllers and also recover some recent results due to Teel.
LA - eng
KW - input stability; output stability; nonlinear systems; input constraints; state constraints; ISS stability; triangular forms; uniform global asymptotic stability; feedforward systems; integrator
UR - http://eudml.org/doc/116564
ER -