The main aim of the book is to present new constructive methods of delay
differential equation (DDE) theory and to give readers practical tools
for analysis, control design and simulating of linear systems with
delays. Referred to as "systems with delays" in this volume, this class
of differential equations is also called delay differential equations
(DDE), time-delay systems, hereditary systems, and functional
differential equations. Delay differential equations are widely used for
describing and modeling various processes and systems in different
applied problems
At present there are effective control and numerical methods and
corresponding software for analysis and simulating different classes of
ordinary differential equations (ODE) and partial differential equations
(PDE). There are many applications for these types of equations, because
of this progress, but there are not as many methodologies in systems
with delays that are easily applicable for the engineer or applied
mathematician. there are no methods of finding solutions in explicit
forms, and there is an absence of generally available general-purpose
software packages for simulating such systems.
Systems with Delays fills this void and provides easily applicable
methods for engineers, mathematicians, and scientists to work with delay
differential equations in their operations and research.
