It has been established that bilinear models
occur frequently in nature and offer some important
advantages from the standpoint. of controllability,
optimization and modeling. The estimation of
bilinear systeim models from the Measurements
of input-output data are discussed. In the
first approach a parametric model of a discrete-time
linear system...
Bilinear systems, encountered in many important applications of engineering, biological and socio-economic systems, represent the logical step in complexity between the linear systems which are inadequate in the modeling of various dynamic processes and the difficult realm of nonlinear systems. This dissertation studies two functional expansions in bilinear system analysis-...
A compartmental model of the immune system is simulated.
Chapter I discusses the importance of such a
model, reviews past immune system models, and summaries
the immunological theory the model is based upon. In
Chapter II, the compartmental representation of the immune
system is developed from immunological and physiological
theory....
As a significant class of nonlinear systems, bilinear systems (BLS) are extensively developed in the past years. In addition to their advantages over linear systems which are often not adequate to represent accurately many control processes, the BLS are particularly appealing in modeling biological systems in which parametric controls are...
An application of the theory of conditionally Gaussian random
processes to filtering and stochastic control problems is presented
here. The results due to Liptser and Shiryayev are proved to hold
in the multidimensional case under somewhat relaxed conditions,
when compared to the original ones. Such a generalization is required
from...
A compartmental model of lymphocyte circulation
through a lymphnode is derived and simulated. The
purpose of the model is to analyze experimental data and
in turn design experimental plans from the analysis in
order to obtain sufficient data for the organ-distributed
immune response. The model will be used to predict...
This thesis presents an effective control design methodology using a one-step-ahead prediction adaptive control law and an adaptive control law based on a Lyapunov function. These control law were applied to a highly maneuverable high performance aircraft, in particular, a modified F/A-18. An adaptive controller is developed to maneuver an...
Neurons are characterized by an electric potential which is established between their inside and outside media. They exhibit specific voltage fluctuations, in response to strong enough current impulses, called action potentials. In this work, a bang-bang controlled bilinear system (BLS) is derived to approximate the generation of a simple neuron's...