Kim, J.H. Park, J.-H. 2024-01-12T06:12:59Z 2024-01-12T06:12:59Z 2022-03-07 2017-10 1598-7833 https://pubs.kist.re.kr/handle/201004/79472 This paper studies computing the l∞-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 infinite-dimensional 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 l∞-induced norm, in which upper bounds and lower bounds of the l∞-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. ？ 2017 Institute of Control, Robotics and Systems - ICROS. English IEEE Computer Society A study on the l1 analysis of discrete-time systems Conference 10.23919/ICCAS.2017.8204479 1 17th International Conference on Control, Automation and Systems, ICCAS 2017, pp.437 - 441 17th International Conference on Control, Automation and Systems, ICCAS 2017 437 441 US Jeju 2017-10-18 International Conference on Control, Automation and Systems 2-s2.0-85044437950