System L1-norm

Version 2.02.1 (3.64 KB) by James Whidborne
Calculate L1-norm of impulse response of continuous-time SISO LTI system
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Updated 2 Nov 2020

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Calculate the L1-norm of the impulse response of a continuous-time SISO LTI system using Rutland & Lane's algorithm. A test function is included.
See Rutland N.K. & Lane P.G, "Computing the 1-norm of the impulse response of linear time-invariant systems", Systems and Control Letters, Volume 26, Number 3, pp. 211-221.
http://dx.doi.org/10.1016/0167-6911(95)00022-2

Cite As

James Whidborne (2026). System L1-norm (https://nl.mathworks.com/matlabcentral/fileexchange/41587-system-l1-norm), MATLAB Central File Exchange. Retrieved .

Rutland, Neil K., and Paul G. Lane. “Computing the 1-Norm of the Impulse Response of Linear Time-Invariant Systems.” Systems & Control Letters, vol. 26, no. 3, Elsevier BV, Oct. 1995, pp. 211–21, doi:10.1016/0167-6911(95)00022-2.

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Version Published Release Notes
2.02.1

Code unchanged - citation added
1.4.0.0

Ill conditioned systems can cause inaccurate results. A warning is included if the condition number od the A-matrix exceeds 1e6. Overcome the problem by using balreal to obtain a balanced realization.
1.3.0.0

Restriction on state-space description removed
1.0.0.0