Dissipativity analysis of stochastic linear parameter varying systems

This paper is concerned with the dissipativity analysis of linear parameter varying (LPV) system under stochastic perturbation. Two types of dissipativity are inves-tigated: passivity and a more generalized form of dissipativity. With the use of parameter dependent Lyapunov functions, parameter dependent sufficient conditions are proposed and the corresponding controllers are designed to meet the requirements of dissipativity. Numerical examples are provided to illustrate the effectiveness of the proposed theories.