Chaos, with reference to chaos theory, refers to an apparent lack of order in a system
that, nevertheless, obeys particular laws or rules. The chaotic signals generated by
chaotic systems have some properties such as randomness, complexity and sensitive
dependence on initial conditions, which make them particularly suitable for secure
communications. Since the 1990s, the problem of secure communication, based on
chaos synchronization, has been thoroughly investigated and many methods, for instance,
robust and adaptive control approaches, have been proposed to realize the
chaos synchronization. However, from systems theory perspective, it may seem obvious
that many robust and adaptive control methods could be considered for possible
attacks against secure communication.
In this thesis, we introduce the concept of secure chaos synchronization from the control
theoretic view point. A new secure communication system, based on the chaos
synchronization, is proposed and its security is analyzed, both theoretically and numerically