TY - JOUR
T1 - Stabilization of nonlinear systems over packet-drop links
T2 - Scalar case
AU - Vaidya, Umesh
AU - Nicola, Elia
PY - 2012/9
Y1 - 2012/9
N2 - In this paper, we study the stabilization problem of a scalar nonlinear system over a packet-drop channel. We consider moment stability notions adopted from the ergodic theory of dynamical systems. The main result of this paper proves that q-moment exponential stability requires a minimal quality of service from the communications link. The necessary conditions presented in the paper relate the positive Lyapunov exponent of the open loop system and the largest probability of erasure. For the first time, the dependence on the Lyapunov exponent highlights the important role played by the global non-equilibrium dynamics in nonlinear stabilization over networks.
AB - In this paper, we study the stabilization problem of a scalar nonlinear system over a packet-drop channel. We consider moment stability notions adopted from the ergodic theory of dynamical systems. The main result of this paper proves that q-moment exponential stability requires a minimal quality of service from the communications link. The necessary conditions presented in the paper relate the positive Lyapunov exponent of the open loop system and the largest probability of erasure. For the first time, the dependence on the Lyapunov exponent highlights the important role played by the global non-equilibrium dynamics in nonlinear stabilization over networks.
KW - Nonlinear stabilization
KW - Packet-drop links
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U2 - 10.1016/j.sysconle.2012.05.008
DO - 10.1016/j.sysconle.2012.05.008
M3 - Article
AN - SCOPUS:84864529379
SN - 0167-6911
VL - 61
SP - 959
EP - 966
JO - Systems and Control Letters
JF - Systems and Control Letters
IS - 9
ER -