Distributed-delay-dependent exponential stability of impulsive neural networks with inertial term
2018
Abstract Global exponential stability problem of impulsive inertial neural networks with time-varying discrete-delay and distributed-delay is considered in the present paper. Lyapunov–Krasovskii functional and differential inequality for delay differential equations are employed to investigate the stability of the inertial neural networks. The distributed-delay-dependent stability criteria are obtained in terms of linear matrix inequalities and algebraic inequalities. The novel results complement and extend the works on inertial neural network with/without impulsive effects. Finally, typical numerical examples are given to illustrate the validity of the theoretical results.
Keywords:
- Machine learning
- Inertial frame of reference
- Artificial neural network
- Artificial intelligence
- Algebraic number
- Mathematics
- Matrix (mathematics)
- Control theory
- Inequality
- Exponential stability
- Delay differential equation
- Pattern recognition
- linear matrix
- differential inequalities
- delay dependent
- Applied mathematics
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