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Controller and observer design, using the inclusion principle, are also discussed.
By using the inclusion principle and permutation transformation, the system is decomposed as a group of pair-wise subsystems in the expanded space.
It is demonstrated, using the inclusion principle, how the systems with longitudinal, loop and radial topologies can be expanded, and how the results can be used for designing controllers under information structure constraints.
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The design process uses the Inclusion Principle to carry out a multi-step expansion that allows the decentralized design of a sequence of expanded local controllers.
Using the mathematical framework of the inclusion principle, the interconnected system is expanded into a higher dimensional space in which the subsystems appear to be disjoint.
Using the mathematic framework of the Inclusion Principle, the interconnected system is expanded into a higher dimensional space in which the subsystems appear to be disjoint.
The inclusion principle for distributed-time-delay systems is defined.
Again from the inclusion principle, the minimum of the trace occurs at n=MT.
The condition number κ is maximum when n=1, a lemma which follows from the inclusion principle of matrices.
Based on the inclusion principle, a permuted inclusion principle is presented to expand the system into an expanded space, from which a recurrent reverse order of pair-wise subsystems is extracted.
By using the principle of inclusion-exclusion, we see that begin{array}rcl@ t_{infe} = sumlimits_{Lambda subset {1,ldots,k}} (-1)^{|Lambda|+1} t_{meet}(Lambda) end{array}.
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