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Firstly, we give a general model of nonlinear singular systems.
This paper addresses the detection problem for linear singular systems.
Also, it is shown that the proposed filter design method is general for both singular systems and non-singular systems.
In this paper, an iterative learning control problem for a class of discrete singular systems is studied by using the dynamic decomposition standard of singular systems.
Also, it is shown that the proposed filter design method is widely applicable to singular systems and non-singular systems by a numerical example.
However, in the previous literature, there are few results on the stability of fractional singular systems, especially the fractional singular systems with time delay.
Thus it is necessary for us to investigate the related singular systems deeply.
Such a type of singular systems appears in many problems of applications.
Furthermore, the result is extended to discrete-time singular systems with state delay.
Next, we introduce some fundamental definitions and lemmas about singular systems.
Therefore, the study of stability problems for neutral singular systems is of theoretical and practical importance.
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