AIMS Mathematics, 2021, 6(1): 304-313. doi: 10.3934/math.2021019.

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Computing $\mu$-values for LTI Systems

1 Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
2 Department of Mathematics, Sukkur IBA University, 65200, Sukkur-Pakistan
3 Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 12435, Saudi Arabia

In this article we consider certain linear time-varying control systems and investigate their stability using structured singular values ($\mu$-values). We use the low rank ordinary differential equations based methodology to compute the lower bounds for $\mu$-values. The inner-outer algorithm computes the local extremizer of an admissible perturbation and adjusts the desired perturbation level. Further, we present a comparison of our results via the well-known MATLAB routine mussv which is available in MATLAB control toolbox.
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Keywords eigenvalues; singular values; structured singular values; low rank ODE’s

Citation: Mutti-Ur Rehman, Jehad Alzabut, Javed Hussain Brohi. Computing $\mu$-values for LTI Systems. AIMS Mathematics, 2021, 6(1): 304-313. doi: 10.3934/math.2021019

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