One of the key elements of modern fiber-optic systems is an optical switch. So, the next-generation all
optical switching systems have been presented by authors of the paper [1, 2]. Those systems have been
based on and switching elements and ones have high performance and low complexity. And
here we offer the models and algorithms of the all-optical and switching systems with
decentralized control for the first time. The presented models is based on the graph theory and they allow
us to get so-call non-blocking conditions for the first time also. The analytical model for the complexity
and diameter of the proposed schemes is presented for the first time. The characteristics of the offered
systems are compared with well-known schemes too. And the calculation results showed a significant
advantage of the presented systems in comparison with the well-known existing ones.