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- W2158522028 abstract "This paper exclusively considers lumped <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>k</tex> -ports and circuits which contain linear time-invariant elements, independent sources, and controlled sources. The <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>k</tex> -ports are represented by their hybrid matrices. Tableau equations of circuits are used as a special case of polynomial matrix description. The hidden modes of a circuit are determined by inspection from its tableau equations in the Hermite row form. The same form is used also to determine the exponential stability of the circuit and that of the <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>k</tex> -port. Finally, necessary and sufficient conditions for exponential stability of interconnected <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>k</tex> -ports are given; the hidden modes of the interconnection are studied. The paper is self-contained." @default.
- W2158522028 created "2016-06-24" @default.
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- W2158522028 date "1985-07-01" @default.
- W2158522028 modified "2023-10-14" @default.
- W2158522028 title "Circuits, k-ports, hidden modes, and stability of interconnected k-ports" @default.
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- W2158522028 doi "https://doi.org/10.1109/tcs.1985.1085776" @default.
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