New Stability Tests for Discretized Fractional-Order Systems Using the Al-Alaoui and Tustin Operators

Table 1

Stability properties of discretized fractional-order system; Example 1.

					Comment
1		1	0.5	—	Stable
2	0.67474	6.4031	0.5	5.1324
3	−0.67474	6.4031	0.5	5.1324
1		1	0.6	—	Stable
2	0.67474	6.4031	0.6	5.9264
3	−0.67474	6.4031	0.6	5.9264
1		1	0.7	—	Unstable
2	0.67474	6.4031	0.7	7.0538
3	−0.67474	6.4031	0.7	7.0538
1		1	0.8	—	Unstable
2	0.67474	6.4031	0.8	8.8896
3	−0.67474	6.4031	0.8	8.8896
1		1	1	—	Unstable
2	0.67474	6.4031	1	∞
3	−0.67474	6.4031	1	∞