Finite-Time Annular Domain Guaranteed Cost Control for Uncertain Mean-Field Stochastic Systems With Wiener and Poisson Noises

This article investigates the finite-time annular domain guaranteed cost control (FTADGCC) problem for uncertain mean-field stochastic systems with both Wiener and Poisson noises (UMFSSwWP). First, the definition of FTADGCC is introduced, which ensures that the state trajectories remain within an upper and lower bound during a fixed time interval and minimizes the performance cost of systems. Moreover, its superiority to finite-time guaranteed cost control is analyzed. Second, utilizing the Itô-Levy formula and the reverse differential Gronwall inequality (RDGI), several novel and less conservative sufficient conditions are presented for the state feedback and observer-based FTADGC (SFaOBFTADGC) controllers. Moreover, a new numerical algorithm is provided to minimize the cost function and give a broader range of parameters. Finally, a practical electrical circuit is offered to demonstrate the effectiveness and feasibility of our proposed findings.