Two numerical methods for optimizing matrix stability

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Structured H∞‐control of infinite‐dimensional systems (2017, unknown): “Subgradients of α and α▷ are computed as in [42, 43].”
A Robust Gradient Sampling Algorithm for Nonsmooth, Nonconvex Optimization (2005, methodology): “This observation led us to consider a simple gradient sampling algorithm, first presented without any analysis in [BLO02b].”
Spectral radius minimization for optimal average consensus and output feedback stabilization (2009, unknown): “Algorithm 1 (Gradient Bundle) proposed in Burke et al. (2002).”
A Nonsmooth, Nonconvex Optimization Approach to Robust Stabilization by Static Output Feedback and Low-Order Controllers (2003, methodology): “However, we have devised a method based on gradient sampling that is very eective in practice and for which we have developed a local convergence theory ( Burke et al., 2002; Burke et al., 2003b).”