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Let, be real matrices of appropriate dimensions.
Let M, N be real matrices of appropriate dimensions.
Let ϒ, Γ, and Λ be real matrices of appropriate dimensions with Λ satisfying (Lambda{Lambda^{mathrm{T}}} le I).
Let A, L, E, and F be real matrices of appropriate dimensions, with F satisfying (F^{T}F le I).
Let,, and be real matrices of appropriate dimensions with, then for any scalar, one has the following inequality: (2.3).
Let H, E, and (G t)) be real matrices of appropriate dimensions with (G t)) satisfying (G t)^{T}G t)leq{I}).
Similar(50)
If Y and Z are real matrices of appropriate dimensions, then there exists a positive constant (xi> 0) such that {Y^{T}}Z + {Z^{T}}Y lexi{Y^{T}}Y + frac{1}{xi}{Z^{T}}Z. (2.10).
for some depending on the support of, where are real matrices and the constants are positive given the above restrictions.
and are time-varying uncertainties, which satisfy the following conditions: (2.2). where,, are real constant matrices of appropriate dimensions and is an unknown time-varying matrix with.
where D, E, D d, E d are real constant matrices of appropriate dimensions, and F ( t ) is an unknown time-varying matrix with F T ( t ) F ( t ) ≤ I.
where D i, E i, i = 1, 2, 3, are real constant matrices of appropriate dimensions, and F ( t ) is an unknown time-varying matrix with F T ( t ) F ( t ) ≤ I.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com