@article{Arcak:2002:10.1137/S0363012901387987,
author = {Arcak, M and Angeli, D and Sontag, E},
doi = {10.1137/S0363012901387987},
journal = {SIAM Journal on Control and Optimization},
pages = {1888--1904},
title = {A unifying integral ISS framework for stability of nonlinear cascades},
url = {http://dx.doi.org/10.1137/S0363012901387987},
volume = {40},
year = {2002}
}

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TY  - JOUR
AB  - We analyze nonlinear cascades in which the driven subsystem is integral input-to-state stable (ISS), and we characterize the admissible integral ISS gains for stability. This characterization makes use of the convergence speed of the driving subsystem and allows a larger class of gain functions when the convergence is faster. We show that our integral ISS gain characterization unifies different approaches in the literature which restrict the nonlinear growth of the driven subsystem and the convergence speed of the driving subsystem. The result is used to develop a new observer-based backstepping design in which the growth of the nonlinear damping terms is reduced.
AU  - Arcak,M
AU  - Angeli,D
AU  - Sontag,E
DO  - 10.1137/S0363012901387987
EP  - 1904
PY  - 2002///
SN  - 0363-0129
SP  - 1888
TI  - A unifying integral ISS framework for stability of nonlinear cascades
T2  - SIAM Journal on Control and Optimization
UR  - http://dx.doi.org/10.1137/S0363012901387987
VL  - 40
ER  - 

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