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The networks are represented by use of the Kronecker product technique.
Moreover, the discrete-time CDNs are represented by use of the Kronecker product technique.
Then, the mean square stability of the closed loop multi-agent systems is analyzed based on the Lyapunov functional method and the Kronecker product technique.
By referring to Lyapunov functional method and Kronecker product technique, some sufficient conditions are derived for global synchronization of such systems.
Given several simplifying assumptions, a direct product technique is proposed to estimate the mean and standard deviation of the steady state displacement response at the excitation frequency.
Given several simplifying assumptions, a direct product technique is used to estimate the first and second moments of eigensolutions in terms of the moments of system parameter matrices.
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It is possible to obtain the main result of the paper by using tensor product techniques developed in [14].
The use of an array bit provides support to internal product techniques that verify the similarity between two scenarios in the classification layer.
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It is also shown in this paper that for the subset of well defined discontinuities the determination of the normal vector using Minimum Variance Analysis and the cross-product technique are equally valid.
The sum-of-disjoint products technique (SDP) is a major fundamental tool for evaluating stochastic network reliability.
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