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SIAMCO
2000
104views more  SIAMCO 2000»
15 years 3 months ago
Law of the Iterated Logarithm for a Constant-Gain Linear Stochastic Gradient Algorithm
We study almost-sure limiting properties, taken as 0, of the finite horizon sequence of random estimates { 0, 1, 2, . . . , T/ } for the linear stochastic gradient algorithm n+1 ...
J. A. Joslin, A. J. Heunis
98
Voted
SIAMCO
2000
52views more  SIAMCO 2000»
15 years 3 months ago
Lyapunov Characterizations of Input to Output Stability
This paper presents necessary and sufficient characterizations of several notions of input to output stability. Similar Lyapunov characterizations have been found to play a key ro...
Eduardo Sontag, Yuan Wang
121
Voted
SIAMCO
2000
89views more  SIAMCO 2000»
15 years 3 months ago
Persistence of Excitation Properties for Time-Varying Autoregressive Systems
It is well known that a crucial property for the effective identification of time-varying systems is that the data carry continual information on the parameters to be estimated. As...
Sergio Bittanti, Marco C. Campi
128
Voted
SIAMCO
2000
75views more  SIAMCO 2000»
15 years 3 months ago
Feedback Stabilization and Lyapunov Functions
Given a locally defined, nondifferentiable but Lipschitz Lyapunov function, we construct a (discontinuous) feedback law which stabilizes the underlying system to any given toleran...
F. H. Clarke, Yu. S. Ledyaev, L. Rifford, R. J. St...
SIAMAM
2002
67views more  SIAMAM 2002»
15 years 3 months ago
A Two-Strain Tuberculosis Model with Age of Infection
Long periods of latency and the emergence of antibiotic resistance due to incomplete treatment are very important features of tuberculosis (TB) dynamics. Previous studies of two-st...
F. A. Milner, M. Iannelli, Z. Feng