Controller Synthesis of Time Petri Nets Using Stopwatch

Table 2

State classes of the TPN presented at Figure 17.

𝛼0∶Delay+𝑃1+Resource	2≤𝑡2≤3,5≤𝑡3≤6,2≤𝑡1≤2,6≤𝑡5≤6
𝛼1∶Delay+𝑃1+Wait	3≤𝑡3≤4,4≤𝑡5≤4
𝛼2∶Delay+𝑃1+Resource	2≤𝑡2≤3,3≤𝑡3≤4,2≤𝑡1≤2,6≤𝑡5≤6
𝛼3∶Delay+𝑃3+Wait	0≤𝑡4≤1,0≤𝑡5≤1
𝛼4∶𝑃1+Wait+Block	0≤𝑡3≤0
𝛼5∶Delay+𝑃1+Wait	1≤𝑡3≤2,4≤𝑡5≤4
𝛼6∶Delay+𝑃1+Resource	2≤𝑡2≤3,1≤𝑡3≤2,2≤𝑡1≤2,6≤𝑡5≤6
𝛼7∶Delay+Resource+𝑃1	2≤𝑡2≤3,5≤𝑡3≤6,2≤𝑡1≤2,0≤𝑡5≤1
𝛼8∶𝑃3+Wait+Block	0≤𝑡4≤1
𝛼9∶Delay+𝑃3+Wait	0≤𝑡4≤1,2≤𝑡5≤3
𝛼10∶Delay+𝑃1+Wait	0≤𝑡3≤0,4≤𝑡5≤4
𝛼11∶Delay+Resource+𝑃3	0≤𝑡2≤2,0≤𝑡1≤1,4≤𝑡5≤5,
	0≤𝑡2−𝑡1≤1,−4≤𝑡2−𝑡5≤−3,−4≤𝑡1−𝑡5≤−4
𝛼12∶Delay+Resource+𝑃1	2≤𝑡2≤3,0≤𝑡3≤0,2≤𝑡1≤2,6≤𝑡5≤6
𝛼13∶Resource+𝑃1+Block	1≤𝑡2≤3,4≤𝑡3≤6,−4≤𝑡2−𝑡3≤−2
𝛼14∶Resource+𝑃1+Block	2≤𝑡2≤3,5≤𝑡3≤6
𝛼15∶Delay+Resource+𝑃1	2≤𝑡2≤3,5≤𝑡3≤6,2≤𝑡1≤2,1≤𝑡5≤3
𝛼16∶Delay+𝑃3+Wait	0≤𝑡4≤1,4≤𝑡5≤4
𝛼17∶Delay+Resource+𝑃3	2≤𝑡2≤3,2≤𝑡1≤2,6≤𝑡5≤6
𝛼18∶𝑃1+Wait+Block	2≤𝑡3≤4
𝛼19∶Delay+𝑃1+Wait	3≤𝑡3≤4,0≤𝑡5≤1
𝛼20∶Resource+𝑃1+Block	0≤𝑡2≤2,3≤𝑡3≤5,−4≤𝑡2−𝑡3≤−2
𝛼21∶Delay+Resource+𝑃1	2≤𝑡2≤3,5≤𝑡3≤6,2≤𝑡1≤2,3≤𝑡5≤4
𝛼22∶Delay+𝑃1+Wait	3≤𝑡3≤4,1≤𝑡5≤2
𝛼23∶𝑃1+Wait+Block	1≤𝑡3≤3