The main focus of this work is on the problem of existence of nonlinear optimal controllers
realizable by artificial neural networks. Theoretical justification, currently
available for control applications of neural networks, is rather limited. For example,
it is unclear which neural architectures are capable of performing which control
tasks. This...
This study develops a general discrete flow model which is
discrete both in time and space. A stirred tank network model
(continuous time compartment model) is summarized and then compared
with the discrete flow model. Both models make use of a
fractional input matrix with elements representing the fraction of...
One dimensional nonlinear difference equations have been used to model population growth. The standard biological models have the interesting characteristic that
they display global stability if they display local stability. Various researchers have sought
a simple explanation for this agreement of local and global stability. Here, we show that
enveloping...
One of the commonly used simulation approaches is process orientation. This is based on the use of nodes (or blocks) that perform functions in series. In spite of the compactness and ease of learning that characterize process-based simulation, many languages are somewhat complex, primarily the result of the large number...
Given two rational maps φ and ψ on Ρ¹ of degree at least two, we study a symmetric, nonnegative real-valued pairing〈φ, ψ〉which is closely related to the canonical height functions hφ and hψ associated to these maps. Our main results show a strong connection between the value of〈φ, ψ〉and the...
Sandbars are ubiquitous, yet not well understood
beach features that change their position and shape in
response to changing wave conditions. We propose and test
a simple empirical model consisting of two coupled linear
differential equations that represents bar dynamics in terms
of wave forcing and two other state variables:...
Delta-sigma modulators are currently a very popular technique for making high-resolution
analog-to-digital and digital-to-analog converters. These oversampled data
converters have several advantages over conventional Nyquist-rate converters, including
an insensitivity to many analog component imperfections, a simpler antialiasing filter and
reduced accuracy requirements in the sample and hold. Though the initial...
In this dissertation a direct approach to discrete-time
model reference adaptive control (MRAC) based on
hyperstability theory is proposed to control industrial
robotic manipulators.
For industrial robots and manipulators, which usually have
highly nonlinear and complex dynamic equations and often
have unknown inertia characteristics, it is very difficult
to achieve...