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Networked control method for polynomial systems via state feedback control

This paper is concerned with the stability analysis of networked control problems for polynomial systems. Owing to existing network-induced random delays of the forward and feedback communication links in a direct-drive control system, the input signals have time-varying delays. Based on the Lyapunov functional and by utilizing the Jensen inequality technique, the controller can be computed in terms of sum of squares inequalities (SOS). Simulation result is given to demonstrate the effectiveness and merits of the proposed control method.