A Study on the l1 Analysis of Discrete-Time Systems
- A Study on the l1 Analysis of Discrete-Time Systems
- 김정훈; 박지현
- Issue Date
- ICCAS(International Conference on Control, Automation and System)
- This paper studies computing the l1-induced norm of multi-input/multi-output (MIMO) linear time-invariant (LTI) discrete-time systems, which is called the l1 analysis problem. Because such a computation involves an infinitedimensional matrix, this paper employs a truncation idea to approximately deal with the l1 analysis problem. More precisely, this paper develops two methods for computing the l1-induced norm, in which upper bounds and lower bounds of the l1-induced norm are derived on the truncated treatment. Furthermore, it is shown that the gaps between the computed upper and lower bounds converge to 0 at an exponential rate of N, where N is the truncation parameter. Finally, a numerical exampled is provided to demonstrate the effectiveness of the developed computation methods.
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