Exponential State Estimation for Stochastically Disturbed Discrete-Time Memristive Neural Networks: Multiobjective Approach

The state estimation of the discrete-time memristive model is studied in this article. By applying the stochastic analysis technique, sufficient formulas are established to ensure the exponentially mean-square stability of the error model. Moreover, the derived control gain matrix can be calculated via the linear matrix inequality (LMI). It should be mentioned that, by extending the derived conclusion to a multiobjective optimization problem, the maximum bound of the active function and the minimum bound of the disturbance attenuation are derived. The corresponding simulation figures are provided in the end.

[1]  Ruoxia Li,et al.  State estimation for memristor-based neural networks with time-varying delays , 2015, Int. J. Mach. Learn. Cybern..

[2]  Jun Wang,et al.  Attractivity Analysis of Memristor-Based Cellular Neural Networks With Time-Varying Delays , 2014, IEEE Transactions on Neural Networks and Learning Systems.

[3]  Peng Li,et al.  Dynamical Properties and Design Analysis for Nonvolatile Memristor Memories , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[4]  S. Mohamad Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks , 2001 .

[5]  L. Chua Memristor-The missing circuit element , 1971 .

[6]  Junwei Sun,et al.  Hybrid Memristor Chaotic System , 2018, Journal of Nanoelectronics and Optoelectronics.

[7]  Hubert Harrer Discrete time cellular neural networks , 1992, Int. J. Circuit Theory Appl..

[8]  Fuad E. Alsaadi,et al.  state estimation for discrete-time memristive recurrent neural networks with stochastic time-delays , 2016, Int. J. Gen. Syst..

[9]  L.O. Chua,et al.  Memristive devices and systems , 1976, Proceedings of the IEEE.

[10]  K. Gopalsamy,et al.  Dynamics of a class of discete-time neural networks and their comtinuous-time counterparts , 2000 .

[11]  Rathinasamy Sakthivel,et al.  Combined H∞ and passivity state estimation of memristive neural networks with random gain fluctuations , 2015, Neurocomputing.

[12]  Jinde Cao,et al.  Fixed-time synchronization of delayed memristor-based recurrent neural networks , 2017, Science China Information Sciences.

[13]  Huaguang Zhang,et al.  Dissipativity Analysis for Stochastic Memristive Neural Networks With Time-Varying Delays: A Discrete-Time Case , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[14]  Zhengwen Tu,et al.  Extended dissipative analysis for memristive neural networks with two additive time-varying delay components , 2016, Neurocomputing.

[15]  Sanbo Ding,et al.  Stochastic exponential synchronization control of memristive neural networks with multiple time-varying delays , 2015, Neurocomputing.

[16]  Jinde Cao,et al.  Finite-Time Stability Analysis for Markovian Jump Memristive Neural Networks With Partly Unknown Transition Probabilities , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[17]  Dandan Wang,et al.  Non-fragile observer-based sliding mode control for Markovian jump systems with mixed mode-dependent time delays and input nonlinearity , 2014, Appl. Math. Comput..

[18]  Jinde Cao,et al.  Exponential Stability of Stochastic Neural Networks With Both Markovian Jump Parameters and Mixed Time Delays , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[19]  Huaguang Zhang,et al.  Exponential Stability and Stabilization of Delayed Memristive Neural Networks Based on Quadratic Convex Combination Method , 2016, IEEE Transactions on Neural Networks and Learning Systems.

[20]  Yuanqing Xia,et al.  Distributed Model Predictive Control of Linear Systems with Stochastic Parametric Uncertainties and Coupled Probabilistic Constraints , 2015, SIAM J. Control. Optim..

[21]  Xue-Jun Xie,et al.  Output-Feedback Stabilization of Stochastic High-Order Nonlinear Systems under Weaker Conditions , 2011, SIAM J. Control. Optim..

[22]  Jinde Cao,et al.  Non-fragile state observation for delayed memristive neural networks: Continuous-time case and discrete-time case , 2017, Neurocomputing.

[23]  Henry C. Tuckwell,et al.  Stochastic processes in the neurosciences , 1989 .

[24]  Zhenyuan Guo,et al.  Global synchronization of stochastically disturbed memristive neurodynamics via discontinuous control laws , 2016, IEEE/CAA Journal of Automatica Sinica.

[25]  Leon O. Chua Resistance switching memories are memristors , 2011 .

[26]  Yi Shen,et al.  Compound synchronization of four memristor chaotic oscillator systems and secure communication. , 2013, Chaos.

[27]  Junwei Sun,et al.  Autonomous memristor chaotic systems of infinite chaotic attractors and circuitry realization , 2018, Nonlinear Dynamics.

[28]  Zoi Rapti,et al.  Stability of a Stochastic Two-Dimensional Non-Hamiltonian System , 2011, SIAM J. Appl. Math..

[29]  Qing Wu,et al.  Efficient and self-adaptive in-situ learning in multilayer memristor neural networks , 2018, Nature Communications.

[30]  Jinde Cao,et al.  Exponential Synchronization of Memristive Neural Networks With Delays: Interval Matrix Method , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[31]  Jinde Cao,et al.  Mean-square exponential input-to-state stability of stochastic delayed neural networks , 2014, Neurocomputing.

[32]  Huaguang Zhang,et al.  H∞ state estimation for memristive neural networks with time-varying delays: The discrete-time case , 2016, Neural Networks.

[33]  Chang-Hua Lien,et al.  New delay-dependent non-fragile H , 2008, Inf. Sci..

[34]  Huaguang Zhang,et al.  Novel Switching Jumps Dependent Exponential Synchronization Criteria for Memristor-Based Neural Networks , 2017, Neural Processing Letters.