LMI Conditions for Robust Stability of 2D Linear Discrete-Time Systems

Table 1

Number of robustly stable systems correctly confirmed by the different methods for 2≤𝑛≤4, 2≤𝑁≤3 (from a maximum of 1000 systems for each {𝑛,𝑁}).

𝑛	𝑁	Lemma 2.7	Lemma 2.10	Lemma 2.11	Lemma 2.12	Theorem 3.1
2	2	582	860	928	940	945
	3	289	691	817	831	834
3	2	213	709	827	828	844
	3	25	481	656	674	683
4	2	93	445	608	625	747
	3	2	234	429	439	456