The uncertain demeanour from wind generators and loads adversely affect the grid
operational stability. Various control approaches have been explored to remedy the system …

Frequency stabilization in the deregulated power system (DPS) becomes more significant
because of increased complexities and uncertainties due to higher penetration of renewable …

We show that for an ordinary differential equation (ODE) with an exponentially stable
equilibrium and any compact subset of its basin of attraction, we can find a larger compact …

The CPA method to compute Lyapunov functions depends on a triangulation of the relevant
part of the state space. In more detail, a CPA (Continuous and Piecewise Affine) function is …

We study the transformation of the vertices of a certain simple simplicial complex in n-
dimensional Euclidian space and prove that the resulting set of simplices is a simplicial …

Lyapunov functions for nonlinear systems, whose dynamics are defined by ordinary
differential equations, are computed by solving linear programming feasibility problems in …

Lyapunov functions can be used to characterize the stability and basins of attraction for
dynamical systems, whose dynamics are defined by ordinary differential equations. Since …

We study the transformation of the vertices of a certain simple simplicial complex in n-
dimensional 6 Euclidian space and prove that the resulting set of simplices is a simplicial …