Calculate maximum transient energy growth

Calculate maximum transient energy growth of a linear time invariant system to an arbitrary accuracy.

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Updated 20 May 2022

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Calculate maximum transient energy growth of a linear time invariant system to an arbitrary accuracy.
max max E(t)
t E(x(0))=1
where E(t) = (x'(t) WW x(t)) and x(t) = e^(At) x(0)

Cite As

Whidborne, James F., and Nathalie Amar. “Computing the Maximum Transient Energy Growth.” BIT Numerical Mathematics, vol. 51, no. 2, Springer Science and Business Media LLC, Mar. 2011, pp. 447–57, doi:10.1007/s10543-011-0326-4.

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James Whidborne (2023). Calculate maximum transient energy growth (https://www.mathworks.com/matlabcentral/fileexchange/82119-calculate-maximum-transient-energy-growth), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2020b
Compatible with any release
Platform Compatibility
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Version Published Release Notes
2.04

v 2.04 corrects a bug that occurs when the max transient energy growth is very small

2.02