Controllability gramian for unstable systems

Version 1.0.0.0 (2.47 KB) by Chris Bowden
Computes the controllability gramian for an unstable linear system in state space form.
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Updated 25 Sep 2012

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The function 'gram' in the Control System Toolbox only computes the controllability gramian for stable systems. This program calculates the controllability gramian for an unstable system (A,B) as long as the matrix A has no imaginary axis poles.

It is based on the paper by Zhou et al. (1999), 'Balance realization and model reduction for unstable systems', International Journal of Robust and Nonlinear Control, vol. 9, 182-198.

Cite As

Chris Bowden (2026). Controllability gramian for unstable systems (https://nl.mathworks.com/matlabcentral/fileexchange/38328-controllability-gramian-for-unstable-systems), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2010a
Compatible with any release
Platform Compatibility
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Version Published Release Notes
1.0.0.0