HIGHLIGHTS
SUMMARY
Although the theory of nonlinear H∞ control is well developed and can be considered standardized, developing algorithms for solving this problem that enable practical implementation is a very active area of research. The state-feedback scheme, impulse controllability and the well-known implicit function theorem for stability analysis for finite-time H∞ control problem of descriptor systems subject to actuator saturation are adopted, while impulse and hybrid controllers are combined, resulting in less conservative stability conditions than in state-feedback control strategy. The randomized algorithm based on the Ray-Shooting Method for H∞ optimal . . .

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