Research output: Contribution to journal › Article › peer-review
Stabilization of discrete systems by dynamic regulator. / Zuber, I.E.
In: Vestnik St. Petersburg University: Mathematics, Vol. 45, No. 1, 2012, p. 22-25.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Stabilization of discrete systems by dynamic regulator
AU - Zuber, I.E.
PY - 2012
Y1 - 2012
N2 - We consider the system x k+1=A kx k+b ku k,u= k+1=m k *x k,k=1,2,..., where A k ∈ ℝ n×n, b k ∈ ℝ n, and m k ∈ ℝ n. We assume that A k is a Frobenius matrix, the last component of vector b k is zero, and all entries of A k and b k are bounded for all k. Lyapunov quadratic function with diagonal matrix of coefficients is used to find coefficients m k and restrictions on coefficients b k which make the system globally asymptotically stable.
AB - We consider the system x k+1=A kx k+b ku k,u= k+1=m k *x k,k=1,2,..., where A k ∈ ℝ n×n, b k ∈ ℝ n, and m k ∈ ℝ n. We assume that A k is a Frobenius matrix, the last component of vector b k is zero, and all entries of A k and b k are bounded for all k. Lyapunov quadratic function with diagonal matrix of coefficients is used to find coefficients m k and restrictions on coefficients b k which make the system globally asymptotically stable.
UR - https://elibrary.ru/item.asp?id=20494146
M3 - Article
VL - 45
SP - 22
EP - 25
JO - Vestnik St. Petersburg University: Mathematics
JF - Vestnik St. Petersburg University: Mathematics
SN - 1063-4541
IS - 1
ER -
ID: 5330588