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New sufficient, and sometimes necessary and sufficient conditions, are obtained for Schur- and Hurwitz-stability of interval matrices by relying on the concept of connective stability and M-matrices. The necessity part is broadened to include interval matrices with mixed signs of the off-diagonal elements, provided the sign patterns follow that of the Morishima matrix. The obtained results are extended...
New sufficient, and sometimes necessary and sufficient conditions, are obtained for Schur- and Hurwitz-stability of interval matrices by relying on the concept of connective stability and M-matrices. The necessity part is broadened to include interval matrices with mixed signs of the off-diagonal elements, provided the sign patterns follow that of the Morishima matrix. The obtained results are extended...
A graph-theoretic characterization of structurally fixed modes of large-scale systems under feed-back structure constraints is given. The characterization allows for a quick and reliable test for detecting the existence of those fixed modes that arise due to a special structure of the system. The test can be used at the first stage of the design problem before a quantitative analysis of the system...
A graph-theoretic characterization of structurally fixed modes of large-scale systems under feedback structure constraints is given. The characterization allows for a quick and reliable test for detecting the existence of those fixed modes that arise due to a special structure of the system. The test can be used at the first stage of the design problem before a quantitative analysis of the system...
Graph-theoretic concepts can be used to decompose a large control system into a block-triangular interconnection of input reachable subsystems. Stabilization of the system is thereby reduced to stabilization of a number of smaller subsystems. The special structural properties of the obtained subsystems can be exploited to further simplify the stabilization problem. Alternatively, a system can be given...
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