H and l-l state estimation for delayed memristive neural networks on finite horizon: The Round-Robin protocol.

Journal: Neural networks : the official journal of the International Neural Network Society
Published Date:

Abstract

In this paper, a protocol-based finite-horizon H and l-l estimation approach is put forward to solve the state estimation problem for discrete-time memristive neural networks (MNNs) subject to time-varying delays and energy-bounded disturbances. The Round-Robin protocol is utilized to mitigate unnecessary network congestion occurring in the sensor-to-estimator communication channel. For the delayed MNNs, our aim is to devise an estimator that not only ensures a prescribed disturbance attenuation level over a finite time-horizon, but also keeps the peak value of the estimation error within a given range. By resorting to the Lyapunov-Krasovskii functional method, the delay-dependent criteria are formulated that guarantee the existence of the desired estimator. Subsequently, the estimator gains are obtained via figuring out a bank of convex optimization problems. The validity of our estimator is finally shown via a numerical example.

Authors

  • Hongjian Liu
    School of Information Science and Technology, Donghua University, Shanghai 200051, China; School of Mathematics and Physics, Anhui Polytechnic University, Wuhu 241000, China.
  • Zidong Wang
    Department of Information Systems and Computing, Brunel University, Uxbridge, Middlesex, UB8 3PH, UK; Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia. Electronic address: zidong.wang@brunel.ac.uk.
  • Weiyin Fei
    Key Laboratory of Advanced Perception and Intelligent Control of High-end Equipment, Ministry of Education, Anhui Polytechnic University, Wuhu 241000, China; School of Mathematics and Physics, Anhui Polytechnic University, Wuhu 241000, China. Electronic address: wyfei@ahpu.edu.cn.
  • Jiahui Li
    College of Communication Engineering, Jilin University, Changchun, Jilin China.