Interval Continuous Plant Identification from Value Sets

Table 4

Results of the algorithm for the value set at frequency 𝜔=1.2.

	𝑣1−𝑣2 edge		𝑣3	𝑣4	𝑣5	𝑣6	𝑣7
			−3.0339+6.1294𝑗	−2.211+5.1007𝑗	−0.4710+3.4462𝑗	−1.469+3.4428𝑗	2.9559+3.2369𝑗	Kharitonov rectangles calculated
𝑣1	6.1015+5.2779𝑗	Theorem; applied	Theorem 3.5	Theorem 3.3	Theorem 3.5	Theorem 3.5	Theorem 3.3	𝑘𝑛1𝑗𝜔=−6.6471−4.5717𝑗
𝑣2	6.5135+6.8573𝑗	𝑣𝑥pred	8.5560𝑗	−3.0339+6.1294𝑗	−2.211+5.1007𝑗	−3.6463𝑗	1.4690+3.4428𝑗	𝑘𝑛2𝑗𝜔=8.2793−4.5717𝑗
𝑣2succ	8.5560𝑗	𝑣𝑥succ	−2.211+5.1007𝑗	−0.4710+3.4462𝑗	3.6463𝑗	2.9559+3.2369𝑗	6.1015+5.2779𝑗	𝑘𝑛3𝑗𝜔=8.2793−1.8087𝑗
𝑣1pred	2.9559+3.2369𝑗	𝜑𝑆𝑥	308.66	308.66	23.01	352.12	352.12	𝑘𝑛4𝑗𝜔=6.6471−1.8087𝑗
𝜑𝑑1	284.62	Condition; verified	Theorem 3.5(C3)	Theorem 3.3(C4)	Theorem 3.5(C4)	Theorem 3.5(C4)	Theorem 3.3(C2)	𝑘𝑑1𝑗𝜔=−0.7743−1.8230𝑗
𝑑1	0.2524−0.9676𝑗	𝑑𝑥	−0.7741−0.9676𝑗	−0.7741−0.9676𝑗	−0.7743−1.8230𝑗	0.2524−1.8230𝑗	0.2524−1.8230𝑗	𝑘𝑑2𝑗𝜔=0.2524−1.8230𝑗
𝑛1	6.6471−4.5717𝑗	𝑛𝑥	8.2793−1.8088𝑗	6.6471−1.8088𝑗	6.6471−1.8098𝑗	6.6471−1.8089𝑗	6.6471−4.5717𝑗	𝑘𝑑3𝑗𝜔=0.2524−0.9676𝑗
𝑛2	8.2793−4.5717𝑗	𝑣𝑥	𝑛3/𝑑2	𝑛4/𝑑2	𝑛4/𝑑3	𝑛4/𝑑4	𝑛1/𝑑4	𝑘𝑑4𝑗𝜔=−0.7743−0.9676𝑗
𝑑4𝜆	0.2524−1.8230𝑗
𝑑2𝜆	−0.5343−0.9677𝑗