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Positive systems are an important class of systems that frequently
arise in application areas, such as in the chemical process
industry, electronic circuit design, communication networks, and
biology. The study of the stability of such systems differs from
standard systems in that the analysis focuses only on the
trajectories generated under positivity constraints. Switched
positive systems also arise in a variety of applications. Examples
can be found in TCP congestion control, in processes described by
non-homogeneous Markov chains, in image processing, in biochemical
networks, and so on. In comparison to general switched systems,
that have received a lot of attention in the past years, the theory
for positive switched systems is still in its infancy. Switched
Positive Linear Systems studies the stability, performance
evaluation, stabilization via switching control, and optimal
control of (continuous-time and linear) positive switched systems.
It provides a review of the results that have already been
established in the literature. Other results, especially those
related to norm computation and optimization, are new and are
presented integrated with previous ones. This book provides a
comprehensive and timely introduction to the study of such systems.
Readers who are new to the topic will find everything required to
understand such systems in a concise and accessible form.
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