Stationary Point Processes and Applications to Communications and Control.
Annual status rept. 1 Jun 72-31 May 73,
MICHIGAN UNIV ANN ARBOR COMPUTER INFORMATION AND CONTROL ENGINEERING
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The areas of research include Closed loop control systems with randomly timed sampling within the feedback loop the development of a logarithmic stability condition for scalar feedback systems whose open loop behavior is described by casual weighting functions the analysis of stability for discrete-time stochastic systems including randomly sampled control systems which can be obtained without searching for a stochastic Lyapunov function the analysis of simple and practical techniques for the recovery of signals from samples taken at random intervals the comparison of the mean square errors of one and two samples taken at random intervals with those attained by causal extrapolating and non-causal interpolating Wiener-Kolmogorov optimal filters and, the analysis of the martingale approach to stochastic point process theory. Modified author abstract
- Statistics and Probability