<p>This paper is devoted to analyzing the predefined-time control problem of multi-product price adjustment system with discontinuous demand and supply functions. By utilizing sign function and Lyapunov method, two novel predefined-time stability criteria are established for non-linear discontinuous system, where the predefined-time can be set arbitrarily in advance. Based on the established predefined-time stability, the predefined-time stabilization control is realized for multi-product price adjustment system by designing switching price control strategy. The predefined-time for achieving stable price equilibrium is independent of all initial prices and any parameters of multi-product price adjustment system. Finally, the numerical simulation examples are provided to verify the correctness of the main results.</p>

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Predefined-time control of multi-product price adjustment system with discontinuous demand and supply

  • Xuejun Yuan,
  • Zuowei Cai,
  • Zengyun Wang

摘要

This paper is devoted to analyzing the predefined-time control problem of multi-product price adjustment system with discontinuous demand and supply functions. By utilizing sign function and Lyapunov method, two novel predefined-time stability criteria are established for non-linear discontinuous system, where the predefined-time can be set arbitrarily in advance. Based on the established predefined-time stability, the predefined-time stabilization control is realized for multi-product price adjustment system by designing switching price control strategy. The predefined-time for achieving stable price equilibrium is independent of all initial prices and any parameters of multi-product price adjustment system. Finally, the numerical simulation examples are provided to verify the correctness of the main results.