In the canonical form
(z = 1) of the fundamental fractal F, shorter continued fractions correspond with more stable eigenstates of a chain system of harmonic oscillators.
The written canonical form
of equations (2) together with the weight functions  for control the quality of the robust stabilization system, allows in the Robust Control Toolbox to calculate the transfer function of the [H.sub.[infinity]]-suboptimal regulator for the nominal object.
Shavarovskii, "On invariants and canonical form
of matrices of second order with respect to semiscalar equivalence," Buletinul Academiei de Stiinfe a Republicii Moldova.
(22) into a symmetric canonical form
of a double confluent Heun's equation [27, 43-45].
A LODE [[DELTA].sub.n][y] = 0 has a maximal symmetry algebra if and only if it is iterative  or, equivalently [1, 2], if and only if it can be reduced by a point transformation to the canonical form
[y.sup.(n)] = 0.
where J is a matrix in Jordan canonical form
and N is a nilpotent matrix also in Jordan canonical form
(10) transforms the PDE [(11).sub.1] into its canonical form
given in Eq.
Let n > 1 be an integer of canonical form
n = [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
reduces Equation (5) to its simplest canonical form
(See Appendix 1 for full details), written here as:
Some classes enable defining a canonical form
Figure 2(a) shows the coupling matrix in folded canonical form
for a bandstop filter with equiripple rejection inside the stopband of 32 dB, N = 4 and reflection zeros at [+ or -]2.5 rad/s.
It is known (Patton, 1994; Zhirabok, 2010) that the observer can be built in the canonical form