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Finite-time resilient decentralized control for interconnected impulsive switched systems with neutral delay
Hangli Ren1, Guangdeng Zong1, Linlin Hou2
1School of Engineering, Qufu Normal University, Rizhao 276826, PR China.
This study introduces finite-time control for interconnected impulsive switched systems with neutral delay. It develops conditions for finite-time boundedness and stability using the average dwell time method.
Area of Science:
- Control Theory
- Systems Engineering
- Nonlinear Dynamics
Background:
- Interconnected impulsive switched systems with neutral delay present complex control challenges.
- Finite-time control is crucial for systems requiring rapid convergence.
- Existing methods often do not address neutral delays in both state and derivative.
Purpose of the Study:
- To extend finite-time boundedness and stability concepts to interconnected impulsive switched systems with neutral delay.
- To develop finite-time resilient decentralized control strategies.
- To ensure closed-loop system stability within a finite time.
Main Methods:
- Application of the average dwell time method.
- Derivation of sufficient conditions for finite-time boundedness and stability.
- Formulation of conditions using linear matrix inequalities (LMIs).
Main Results:
- Novel extension of finite-time boundedness and stability concepts.
- Sufficient conditions derived for systems with time-varying neutral delays.
- Design of a finite-time resilient decentralized state-feedback controller.
Conclusions:
- The proposed LMI-based conditions effectively ensure finite-time boundedness and stability.
- The developed control approach is validated through a practical example.
- This work advances the control of complex impulsive switched systems.
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