A, A 0, B, B 0, C, D, G, F are system matrices with proper dimensions.
where Q 1 and Q 2 are symmetric positive matrices with proper dimensions satisfying E V ( x ( t + 1 ) ) − E V ( x ( t ) ) < 0 (11).
Generalized outer synchronization between the drive-response networks are achieved if lim_{trightarrow infty}biglVert e_{i} (t) bigrVert = lim_{trightarrow infty}biglVert y_{i} (t)- phi_{varphi_{i}}(t bigrVert =0,quad iin 1,2,ldots, N, (3) where P and Q are constant matrices with proper dimension.
The unknown matrices Ā and C̄ are norm-bounded and satisfying [bar{A}, bar{C}]=N_{1}G t)[N_{2},N_{3}], where (N_{1}inmathbb {R}^{ntimes g},N_{2}inmathbb {R}^{gtimes n}) and (N_{3}inmathbb {R}^{gtimes m}) are known matrices with proper dimensions, and (G t)inmathbb {R}^{gtimes g}) is an unknown matrix with (G^{T}(t)G t)leq E_{gtimes g}) where (E_{gtimes g}) represents an identity matrix.
A novel framework combining sparse matrix factorization with proper kinematic rules enables multiple mobile sensors to track multiple targets.
It is easy to verify that, for a full column rank matrix C with proper size, the minus orders A ≤ ̄ B and C A ≤ ̄ C B are equivalent, but if C is not a full column rank matrix, this implication may be not true.
And the reconstruction performance of the SKP measurement matrix with a proper pascal matrix outperforms the random measurement matrices.
