One of the letters cites "a sustained level of violence" in the prison, which resulted in the "stability matrix
remaining at medium or high since September 2017".
Applying method (1.1) to this test problem, the stability matrix is achieved by
For investigating characteristic polynomial of the stability matrix M(z), we consider the matrix related to M(z) by similarity transformation.
In order to facilitate the description, hereafter, the matrix [micro]I-G(s)L(s) is named as "stability matrix."
The stability of the system controlled by the designed ILC controller is checked by the singular values of stability matrix. As shown in Figure 9, under the condition where the operation speed is 5000 RPM (83.3 Hz), the maximum singular value of stability matrix is about -4.27 dB.
(f) A matrix Q [member of] [R.sup.n x n.sub.+] is said to be stable, or a stability matrix, if its characteristic polynomial is Hurwitz or, equivalently, if all its eigenvalues have negative real parts.
(1) Note that Lemma 6(i) does not require for A to be a convergent matrix (i.e., a stability matrix on the discrete framework) while [A.sub.g] has to be a convergent matrix.
For fixed M, we find the stability matrix for both classes of methods and we determine a condition that provides methods with unbounded stability regions.
In the following theorem we provide the expression for the stability matrix of fast methods.
(Appended are copies of the participant interview and the family stability matrix
with tabulated data and a compilation of teachers' responses.) (KB)
6, and then inserting the appropriate equilibrium values in the expression obtained, the Jacobian stability matrix
[Mathematical Expression Omitted] associated with the nontrivial equilibrium ([Mathematical Expression Omitted], [Mathematical Expression Omitted]) (cf.
Therefore, if [A.sup.*.sub.df]([theta]) is a stability matrix
(then, nonsingular) and (65) holds then [[bar.A].sup.*.sub.end]([theta]) and [A.sup.*.sub.end]([theta]) are stability matrices.