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Decentralized optimal controller design for interconnected nonlinear systems

This paper treats the optimal control resolution for a nonlinear interconnected system using the decentralized State Dependant Riccati Equation (SDRE) method. It aims to solve a nonlinear optimal control problem through a Riccati equation that depends on the state. Our main contribution in this paper is to carry out the analysis of nonlinear interconnected systems associated with SDRE controllers aiming to determine new sufficient condition for their stability. A numerical-simulation example is used to validate the developed results.