Decentralized control of input-output stochastic models

Author(s):  
E. P. Melo ◽  
J. C. Geromel
2015 ◽  
Vol 1 (1) ◽  
pp. 480-483 ◽  
Author(s):  
Thomas Seel ◽  
Mirjana Ruppel ◽  
Markus Valtin ◽  
Thomas Schauer

AbstractStroke and other neurological disorders often lead to reduced motor function and to pathological foot motion during gait. We consider Functional Electrical Stimulation (FES) of the shank muscles that control dorsiflexion (related to pitch) and eversion (related to roll) of the foot. We describe the nonlinear domain of stimulation intensities that are tolerated by subjects in combined two-channel FES via surface electrodes. Two piecewise linear parameterizations of this domain are suggested and compared in terms of the cross-couplings between the newly defined stimulation intensity coordinates and the foot motion caused during swing phase in drop foot patients walking on a treadmill. Both parameterizations are found to yield almost monotonous input-output behavior and therefore facilitate decentralized control of the foot pitch and roll angle.


Author(s):  
D. Gwion Evans ◽  
John E. Gough ◽  
Matthew R. James

We show that the series product, which serves as an algebraic rule for connecting state-based input–output systems, is intimately related to the Heisenberg group and the canonical commutation relations. The series product for quantum stochastic models then corresponds to a non-abelian generalization of the Weyl commutation relation. We show that the series product gives the general rule for combining the generators of quantum stochastic evolutions using a Lie–Trotter product formula.


1970 ◽  
Vol 15 (2) ◽  
pp. 115, 118
Author(s):  
WILLIAM E. COLEMAN

Sign in / Sign up

Export Citation Format

Share Document