The order of the practical system (e.g. nuclear power
plants, electrical power network and chemical plant) is
quite large. However, there are many limitations in computing
facilities for the large system. Because of these
limitations, it is often necessary to reduce the order of
the large system using an approximation....
A new approximation technique to a certain class of nonlinear
filtering problems is considered in this dissertation. The method is
based on an approximation of nonlinear, partially-observable systems
by a stochastic control problem with fully observable state. The
filter development proceeds from the assumption that the
unobservables are conditionally Gaussian...
The problem of optimization of stochastic dynamic systems with
random coefficients is discussed. Systems with both Wiener processes and uncertain random-process disturbances are dealt with in
this dissertation, and these include certain bilinear stochastic
systems. It is the purpose of this thesis to study the optimal control and, to some...
Team pursuit-evasion games are studied here with one performance
index for the team as a unit in competition with one common opponent.
Particular structures of team games are discussed after a brief introduction
of the two-player differential games. The classical calculus
of variations is used to derive the feedback strategies...
The B lymphocyte is the immune cell responsible
for the production of antibodies. It has receptor
molecules on its surface which bind to a molecule known
as an antigen. The antigen either stimulates the cell
to produce antibodies or tolerizes it so that it is
unable to produce antibodies.
In engineering, biology, ecology, medicine, economics and social
science, some processes are essentially bilinear, and some could be
approximated accurately by bilinear processes under certain conditions.
In this thesis the bilinear stochastic process and bilinear time series
Bilinear models essentially are nonlinear; the superposition rule
is not valid....
An observability problem for both deterministic and stochastic
systems is studied here.
Deterministic observability is a determination of whether every
state of the system is connected to the observation mechanism and how
it is connected, if connected. On the other hand, stochastic
observability discusses the "tightness" of the connection in...
This thesis is composed of four parts: i) system
description, ii) model development, iii) parameter
estimation, and iv) validation. The natural system used
here is an aspect of the immune system, namely, the
distribution of recirculating lymphocytes in various
organs throughout the body. This distribution gains
importance because: i) it...
In sonar or radar array processing, one of the most important objectives is to estimate the angles of incidence of distant source signals in a noisy environment. The standard eigenstructure-based method, which is known to yield high resolution spectral estimates for solving the direction finding problem, relies on the assumption...