Optimization Taxonomy – Optimization In Engineering – Optimization In Electrical Engineering – Signal Processing – Circuit Design – Resource Allocation In Communication Networks – Power Dispatching – Optimal Loadfrequency Control – Optimal Operational Planning In Microgrid – Microgrid Voltage–Frequency Control – Widearea Power System Oscillation Damping – Purpose And Structure – Organization – References – Linear Algebra Review – Vector Space – Matrix – Range And Null Spaces – Rank – Determinant – Minor – Linear Equations – Inverse – Inner Product – Norm – Eigenvalues And Eigenvectors – Matrix Diagonalization – Singular Value Decomposition – Singular Value – Singular Value Decomposition – Quadratic Form – Gradient – Hessian Matrix – Supremum And Infimum – Level Set – Directional Derivative – Summary – Problems – References – Set Constrained Optimization – Set Constrained Optimization Problem .