<p>The dynamic feedback control problem for singular neutral systems with Lurie nonlinear structure is examined in this study. First, the state decomposition approach is used to perform an analogous modification of the system structure. Next, the state decomposition generalized functions are constructed using the Lyapunov–Krasovskii theory, and the free weight matrix approach is utilized to provide the adequate conditions for the absolute stability of the Lurie singular neutral systems. The closed-loop dynamic feedback controller of the Lurie singular neutral systems is then created, and the response’s absolute stability criterion is discovered. The controllers we designed are created using the state decomposition method, which offers more flexibility and viability in designing for every dynamic feedback control parameter. Lastly, numerical examples are performed to verify the effectiveness and viability of the employed approach.</p>

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Robust absolute stability of Lurie singular neutral systems based on dynamic feedback controller

  • Runzhang Zhang,
  • Wenbin Chen,
  • Fang Gao,
  • Jian Hu

摘要

The dynamic feedback control problem for singular neutral systems with Lurie nonlinear structure is examined in this study. First, the state decomposition approach is used to perform an analogous modification of the system structure. Next, the state decomposition generalized functions are constructed using the Lyapunov–Krasovskii theory, and the free weight matrix approach is utilized to provide the adequate conditions for the absolute stability of the Lurie singular neutral systems. The closed-loop dynamic feedback controller of the Lurie singular neutral systems is then created, and the response’s absolute stability criterion is discovered. The controllers we designed are created using the state decomposition method, which offers more flexibility and viability in designing for every dynamic feedback control parameter. Lastly, numerical examples are performed to verify the effectiveness and viability of the employed approach.