Abstract
In this paper, we propose a numerical solution to a class of parameter-dependent convex differential inequalities (PDCDIs), including parameter-dependent LMIs formulated in analysis and synthesis of control systems based on linear parameter varying system representations. To solve such inequality problems involving infinite inequalities corresponding to the values of the parameter, we provide a procedure to derive from a given PDCDI a finite set of inequalities that can be formed to be solvable whenever the PDCDI is solvable, and from any solution to the derived finite set of inequalities a solution to the PDCDI is obtained. Numerical examples for a parameter-dependent LMI are provided to examine the proposed numerical solution.
