Polynomial array for F(z/sub 1/, z/sub 2/) on mod z/sub 1/ mod =1 and 2-D filter stability test

Stability testing of 2-D discrete linear systems by telepolation of an immittance-type tabular test

“…The first tabular test of Maria and Fahmy [19] can be shown to be of complexity. This can be shown to be also the complexity of all tabular tests proposed in the following two decades till and including [8]. (A tabular test is bound to have this order of complexity if it ends with a polynomial of degree or a symmetric polynomial of double degree).…”

“…Presenting Algorithm 1 by the balanced polynomials helps to realize that, for any fixed value , the action of Algorithm 1 on corresponds to applying to the next algorithm. Algorithm 2: Consider the polynomial (8) where are complex scalars. Obtain a sequence of polynomials , and scalars as follows:…”

“…In such cases the separate recursion for the 's circumvents the otherwise ambiguous 0/0 expression. Theorem 2: Assume Algorithm 2 is applied to (8). Then is stable if and only if (11) Furthermore, if an occurs then is not stable.…”

Synthesis and properties of epoxy/TiO2 composite materials

“…When the concentration of TiO 2 liquid reaches up to 3.0%, the composites' heat resistance has a decreasing trend, since the increased amount of nanosized particles makes it difficult for dispersion, but easier for the agglomeration of nanosized particles. Furthermore, sufficient bonding with epoxy resin is made impossible, leading to a decreased thermal stability [15].…”

New stability test algorithm for two-dimensional digital filters

“…Its performance evaluation has been concentrated upon the delay model [1], the ramp response and the effect of transistor gain ratio and coupling capacitance [2], [3], and the electromagnetic induced delay [4], etc. Little is known about their nonlinearity.…”