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Erschienen in: Neural Processing Letters 6/2023

13.06.2023

Partial-Neurons-Based \(H_{\infty }\) State Estimation for Time-Varying Neural Networks Subject to Randomly Occurring Time Delays under Variance Constraint

verfasst von: Jun Hu, Yan Gao, Cai Chen, Junhua Du, Chaoqing Jia

Erschienen in: Neural Processing Letters | Ausgabe 6/2023

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Abstract

This paper discusses the issue of partial-neurons-based \(H_{\infty }\) state estimation for time-varying recurrent neural networks subject to randomly occurring time delays under variance constraint index. The measurement outputs are allowed to be available only at certain neurons. In addition, a random variable is introduced to model the randomly occurring time delays with certain occurrence probability. The aim is to propose the non-augmented partial-neurons-based state estimation strategy. Accordingly, some sufficient conditions are given to ensure two indices including the pre-determined \(H_{\infty }\) performance index and the error variance boundedness via the stochastic analysis approach. Finally, a simulation example is used to demonstrate the feasibility of presented partial-neurons-based \(H_{\infty }\) state estimation algorithm.

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Literatur
1.
Zurück zum Zitat Peng T, Lu J, Tu Z, Lou J (2022) Finite-time stabilization of quaternion-valued neural networks with time delays: an implicit function method. Inf Sci 613:747–762 Peng T, Lu J, Tu Z, Lou J (2022) Finite-time stabilization of quaternion-valued neural networks with time delays: an implicit function method. Inf Sci 613:747–762
2.
Zurück zum Zitat Ding Y, Fu M, Luo P, Wu FX (2023) Network learning for biomarker discovery. Int J Netw Dyn Intell 2(1):51–65 Ding Y, Fu M, Luo P, Wu FX (2023) Network learning for biomarker discovery. Int J Netw Dyn Intell 2(1):51–65
3.
Zurück zum Zitat Wang M, Wang H, Zheng H (2022) A mini review of node centrality metrics in biological networks. Int J Netw Dyn Intell 1(1):99–110 Wang M, Wang H, Zheng H (2022) A mini review of node centrality metrics in biological networks. Int J Netw Dyn Intell 1(1):99–110
4.
Zurück zum Zitat Tanaka G, Nakane R, Takeuchi T, Yamane T, Nakano D, Katayama Y, Hirose A (2020) Spatially arranged sparse recurrent neural networks for energy efficient associative memory. IEEE Trans Neural Netw Learn Syst 31(1):24–38MathSciNet Tanaka G, Nakane R, Takeuchi T, Yamane T, Nakano D, Katayama Y, Hirose A (2020) Spatially arranged sparse recurrent neural networks for energy efficient associative memory. IEEE Trans Neural Netw Learn Syst 31(1):24–38MathSciNet
5.
Zurück zum Zitat Demin VA, Nekhaev DV, Surazhevsky IA, Nikiruy KE, Emelyanov AV, Nikolaev SN, Rylkov VV, Kovalchuk MV (2021) Necessary conditions for STDP-based pattern recognition learning in a memristive spiking neural network. Neural Netw 134:64–75 Demin VA, Nekhaev DV, Surazhevsky IA, Nikiruy KE, Emelyanov AV, Nikolaev SN, Rylkov VV, Kovalchuk MV (2021) Necessary conditions for STDP-based pattern recognition learning in a memristive spiking neural network. Neural Netw 134:64–75
6.
Zurück zum Zitat Li X, Li M, Yan P, Li G, Jiang Y, Luo H, Yin S (2023) Deep learning attention mechanism in medical image analysis: basics and beyonds. Int J Netw Dyn Intell 2(1):93–116 Li X, Li M, Yan P, Li G, Jiang Y, Luo H, Yin S (2023) Deep learning attention mechanism in medical image analysis: basics and beyonds. Int J Netw Dyn Intell 2(1):93–116
7.
Zurück zum Zitat Yao F, Ding Y, Hong S, Yang S-H (2022) A survey on evolved LoRa-based communication technologies for emerging internet of things applications. Int J Netw Dyn Intell 1(1):4–19 Yao F, Ding Y, Hong S, Yang S-H (2022) A survey on evolved LoRa-based communication technologies for emerging internet of things applications. Int J Netw Dyn Intell 1(1):4–19
8.
Zurück zum Zitat Schuetz MJA, Brubaker JK, Katzgraber HG (2022) Combinatorial optimization with physics-inspired graph neural networks. Nat Mach Intell 4(4):367–377 Schuetz MJA, Brubaker JK, Katzgraber HG (2022) Combinatorial optimization with physics-inspired graph neural networks. Nat Mach Intell 4(4):367–377
9.
Zurück zum Zitat Bao G, Ma L, Yi X (2022) Recent advances on cooperative control of heterogeneous multi-agent systems subject to constraints: a survey. Syst Sci Control Eng 10(1):539–551 Bao G, Ma L, Yi X (2022) Recent advances on cooperative control of heterogeneous multi-agent systems subject to constraints: a survey. Syst Sci Control Eng 10(1):539–551
10.
Zurück zum Zitat Li J, Wang Z, Dong H, Ghinea G (2021) Outlier-resistant remote state estimation for recurrent neural networks with mixed time-delays. IEEE Trans Neural Netw Learn Syst 32(5):2266–2273MathSciNet Li J, Wang Z, Dong H, Ghinea G (2021) Outlier-resistant remote state estimation for recurrent neural networks with mixed time-delays. IEEE Trans Neural Netw Learn Syst 32(5):2266–2273MathSciNet
11.
Zurück zum Zitat Zou C, Li B, Du S, Chen X (2021) \(H_{\infty }\) state estimation for round-robin protocol-based Markovian jumping neural networks with mixed time delays. Neural Process Lett 53(6):4313–4330 Zou C, Li B, Du S, Chen X (2021) \(H_{\infty }\) state estimation for round-robin protocol-based Markovian jumping neural networks with mixed time delays. Neural Process Lett 53(6):4313–4330
12.
Zurück zum Zitat Li H, Wu P, Zeng N, Liu Y, Alsaadi FE (2022) A survey on parameter identification, state estimation and data analytics for lateral flow immunoassay: from systems science perspective. Int J Syst Sci 53(16):3556–3576MATH Li H, Wu P, Zeng N, Liu Y, Alsaadi FE (2022) A survey on parameter identification, state estimation and data analytics for lateral flow immunoassay: from systems science perspective. Int J Syst Sci 53(16):3556–3576MATH
13.
Zurück zum Zitat Zhao Y, He X, Ma L, Liu H (2022) Unbiasedness-constrained least squares state estimation for time-varying systems with missing measurements under round-robin protocol. Int J Syst Sci 53(9):1925–1941MathSciNetMATH Zhao Y, He X, Ma L, Liu H (2022) Unbiasedness-constrained least squares state estimation for time-varying systems with missing measurements under round-robin protocol. Int J Syst Sci 53(9):1925–1941MathSciNetMATH
14.
Zurück zum Zitat Yu Y, Dong H, Wang Z, Li J (2019) Delay-distribution-dependent non-fragile state estimation for discrete-time neural networks under event-triggered mechanism. Neural Comput Appl 31(11):7245–7256 Yu Y, Dong H, Wang Z, Li J (2019) Delay-distribution-dependent non-fragile state estimation for discrete-time neural networks under event-triggered mechanism. Neural Comput Appl 31(11):7245–7256
15.
Zurück zum Zitat Hou N, Dong H, Wang Z, Ren W, Alsaadi FE (2016) Non-fragile state estimation for discrete Markovian jumping neural networks. Neurocomputing 179:238–245 Hou N, Dong H, Wang Z, Ren W, Alsaadi FE (2016) Non-fragile state estimation for discrete Markovian jumping neural networks. Neurocomputing 179:238–245
16.
Zurück zum Zitat Shen Y, Wang Z, Shen B, Alsaadi FE (2020) \(H_{\infty }\) state estimation for multi-rate artificial neural networks with integral measurements: a switched system approach. Inf Sci 539:434–446MATH Shen Y, Wang Z, Shen B, Alsaadi FE (2020) \(H_{\infty }\) state estimation for multi-rate artificial neural networks with integral measurements: a switched system approach. Inf Sci 539:434–446MATH
17.
Zurück zum Zitat Qu Y, Pang K (2020) State estimation for a class of artificial neural networks subject to mixed attacks: a set-membership method. Neurocomputing 411:239–246 Qu Y, Pang K (2020) State estimation for a class of artificial neural networks subject to mixed attacks: a set-membership method. Neurocomputing 411:239–246
18.
Zurück zum Zitat Meng X, Chen Y, Ma L, Liu H (2022) Protocol-based variance-constrained distributed secure filtering with measurement censoring. Int J Syst Sci 53(15):3322–3338MathSciNetMATH Meng X, Chen Y, Ma L, Liu H (2022) Protocol-based variance-constrained distributed secure filtering with measurement censoring. Int J Syst Sci 53(15):3322–3338MathSciNetMATH
19.
Zurück zum Zitat Wang L, Liu S, Zhang Y, Ding D, Yi X (2022) Non-fragile \(l_{2}\)-\(l_{\infty }\) state estimation for time-delayed artificial neural networks: an adaptive event-triggered approach. Int J Syst Sci 53(10):2247–2259MATH Wang L, Liu S, Zhang Y, Ding D, Yi X (2022) Non-fragile \(l_{2}\)-\(l_{\infty }\) state estimation for time-delayed artificial neural networks: an adaptive event-triggered approach. Int J Syst Sci 53(10):2247–2259MATH
20.
Zurück zum Zitat Wang X, Sun Y, Ding D (2022) Adaptive dynamic programming for networked control systems under communication constraints: a survey of trends and techniques. Int J Netw Dyn Intell 1(1):85–98 Wang X, Sun Y, Ding D (2022) Adaptive dynamic programming for networked control systems under communication constraints: a survey of trends and techniques. Int J Netw Dyn Intell 1(1):85–98
21.
Zurück zum Zitat Sakthivel R, Devi NB, Harshavarthini S, Kwon O (2022) Disturbance estimation and synchronization control design for nonlinear complex dynamical networks with input delays. Int J Robust Nonlinear Control 32(7):4281–4299MathSciNet Sakthivel R, Devi NB, Harshavarthini S, Kwon O (2022) Disturbance estimation and synchronization control design for nonlinear complex dynamical networks with input delays. Int J Robust Nonlinear Control 32(7):4281–4299MathSciNet
22.
Zurück zum Zitat Feng S, Yu H, Jia C, Gao P (2022) Joint state and fault estimation for nonlinear complex networks with mixed time-delays and uncertain inner coupling: Non-fragile recursive method. Syst Sci Control Eng 10(1):603–615 Feng S, Yu H, Jia C, Gao P (2022) Joint state and fault estimation for nonlinear complex networks with mixed time-delays and uncertain inner coupling: Non-fragile recursive method. Syst Sci Control Eng 10(1):603–615
23.
Zurück zum Zitat Zhu Q (2019) Stabilization of stochastic nonlinear delay systems with exogenous disturbances and the event-triggered feedback control. IEEE Trans Autom Control 64(9):3764–3771MathSciNetMATH Zhu Q (2019) Stabilization of stochastic nonlinear delay systems with exogenous disturbances and the event-triggered feedback control. IEEE Trans Autom Control 64(9):3764–3771MathSciNetMATH
24.
Zurück zum Zitat Zhu Q, Huang T (2021) \(H_{\infty }\) control of stochastic networked control systems with time-varying delays: the event-triggered sampling case. Int J Robust Nonlinear Control 31(18):9767–9781MathSciNet Zhu Q, Huang T (2021) \(H_{\infty }\) control of stochastic networked control systems with time-varying delays: the event-triggered sampling case. Int J Robust Nonlinear Control 31(18):9767–9781MathSciNet
25.
Zurück zum Zitat Tian Y, Yan H, Zhang H, Cheng J, Shen H (2022) Asynchronous output feedback control of hidden semi-Markov jump systems with random mode-dependent delays. IEEE Trans Autom Control 67(8):4107–4114MathSciNetMATH Tian Y, Yan H, Zhang H, Cheng J, Shen H (2022) Asynchronous output feedback control of hidden semi-Markov jump systems with random mode-dependent delays. IEEE Trans Autom Control 67(8):4107–4114MathSciNetMATH
26.
Zurück zum Zitat Suo J, Li N (2022) Observer-based synchronisation control for discrete-time delayed switched complex networks with coding-decoding approach. Int J Syst Sci 53(13):2711–2728MathSciNetMATH Suo J, Li N (2022) Observer-based synchronisation control for discrete-time delayed switched complex networks with coding-decoding approach. Int J Syst Sci 53(13):2711–2728MathSciNetMATH
27.
Zurück zum Zitat Yu L, Cui Y, Liu Y, Alotaibi ND, Alsaadi FE (2022) Sampled-based consensus of multi-agent systems with bounded distributed time-delays and dynamic quantisation effects. Int J Syst Sci 53(11):2390–2406MathSciNetMATH Yu L, Cui Y, Liu Y, Alotaibi ND, Alsaadi FE (2022) Sampled-based consensus of multi-agent systems with bounded distributed time-delays and dynamic quantisation effects. Int J Syst Sci 53(11):2390–2406MathSciNetMATH
28.
Zurück zum Zitat Suo J, Li N, Li Q (2021) Event-triggered \(H_{\infty }\) state estimation for discrete-time delayed switched stochastic neural networks with persistent dwell-time switching regularities and sensor saturations. Neurocomputing 455:297–307 Suo J, Li N, Li Q (2021) Event-triggered \(H_{\infty }\) state estimation for discrete-time delayed switched stochastic neural networks with persistent dwell-time switching regularities and sensor saturations. Neurocomputing 455:297–307
29.
Zurück zum Zitat Qian W, Xing W, Fei S (2021) \(H_{\infty }\) state estimation for neural networks with general activation function and mixed time-varying delays. IEEE Trans Neural Netw Learn Syst 32(9):3909–3918MathSciNet Qian W, Xing W, Fei S (2021) \(H_{\infty }\) state estimation for neural networks with general activation function and mixed time-varying delays. IEEE Trans Neural Netw Learn Syst 32(9):3909–3918MathSciNet
30.
Zurück zum Zitat Zhao D, Wang Z, Wei G, Liu X (2021) Nonfragile \(H_{\infty }\) state estimation for recurrent neural networks with time-varying delays: On proportional-integral observer design. IEEE Trans Neural Netw Learn Syst 32(8):3553–3565MathSciNet Zhao D, Wang Z, Wei G, Liu X (2021) Nonfragile \(H_{\infty }\) state estimation for recurrent neural networks with time-varying delays: On proportional-integral observer design. IEEE Trans Neural Netw Learn Syst 32(8):3553–3565MathSciNet
31.
Zurück zum Zitat Wang Y, Cao J, Wang H (2021) State estimation for Markovian coupled neural networks with multiple time delays via event-triggered mechanism. Neural Process Lett 53(2):893–906 Wang Y, Cao J, Wang H (2021) State estimation for Markovian coupled neural networks with multiple time delays via event-triggered mechanism. Neural Process Lett 53(2):893–906
32.
Zurück zum Zitat Cao Y, Maheswari K, Dharani S (2023) Improved summation inequality based state estimation for stochastic semi-Markovian jumping discrete-time neural networks with mixed delays and quantization. Neural Process Lett. 55(2):1919–1935 Cao Y, Maheswari K, Dharani S (2023) Improved summation inequality based state estimation for stochastic semi-Markovian jumping discrete-time neural networks with mixed delays and quantization. Neural Process Lett. 55(2):1919–1935
33.
Zurück zum Zitat Yu Y, Dong H, Wang Z, Ren W, Alsaadi FE (2016) Design of non-fragile state estimators for discrete time-delayed neural networks with parameter uncertainties. Neurocomputing 182:18–24 Yu Y, Dong H, Wang Z, Ren W, Alsaadi FE (2016) Design of non-fragile state estimators for discrete time-delayed neural networks with parameter uncertainties. Neurocomputing 182:18–24
34.
Zurück zum Zitat Song Y, Hu J, Chen D, Liu Y, Alsaadi FE, Sun G (2018) A resilience approach to state estimation for discrete neural networks subject to multiple missing measurements and mixed time-delays. Neurocomputing 272:74–83 Song Y, Hu J, Chen D, Liu Y, Alsaadi FE, Sun G (2018) A resilience approach to state estimation for discrete neural networks subject to multiple missing measurements and mixed time-delays. Neurocomputing 272:74–83
35.
Zurück zum Zitat Liu F, Song Q, Wen G, Cao J, Yang X (2018) Bipartite synchronization in coupled delayed neural networks under pinning control. Neural Netw 108:146–154MATH Liu F, Song Q, Wen G, Cao J, Yang X (2018) Bipartite synchronization in coupled delayed neural networks under pinning control. Neural Netw 108:146–154MATH
36.
Zurück zum Zitat Yang X, Song Q, Liang J, He B (2015) Finite-time synchronization of coupled discontinuous neural networks with mixed delays and nonidentical perturbations. J Frankl Inst-Eng Appl Math 352(10):4382–4406MathSciNetMATH Yang X, Song Q, Liang J, He B (2015) Finite-time synchronization of coupled discontinuous neural networks with mixed delays and nonidentical perturbations. J Frankl Inst-Eng Appl Math 352(10):4382–4406MathSciNetMATH
37.
Zurück zum Zitat Li J, Wang Z, Dong H, Fei W (2020) Delay-distribution-dependent state estimation for neural networks under stochastic communication protocol with uncertain transition probabilities. Neural Netw 130:143–151MATH Li J, Wang Z, Dong H, Fei W (2020) Delay-distribution-dependent state estimation for neural networks under stochastic communication protocol with uncertain transition probabilities. Neural Netw 130:143–151MATH
38.
Zurück zum Zitat Ding S, Wang Z, Wang J, Zhang H (2016) \(H_{\infty }\) state estimation for memristive neural networks with time-varying delays: the discrete-time case. Neural Netw 84:47–56MATH Ding S, Wang Z, Wang J, Zhang H (2016) \(H_{\infty }\) state estimation for memristive neural networks with time-varying delays: the discrete-time case. Neural Netw 84:47–56MATH
40.
Zurück zum Zitat Liu Y, Wang Z, Yuan Y, Liu W (2019) Event-triggered partial-nodes-based state estimation for delayed complex networks with bounded distributed delays. IEEE Trans Syst Man Cybern-Syst 49(6):1088–1098 Liu Y, Wang Z, Yuan Y, Liu W (2019) Event-triggered partial-nodes-based state estimation for delayed complex networks with bounded distributed delays. IEEE Trans Syst Man Cybern-Syst 49(6):1088–1098
41.
Zurück zum Zitat Hou N, Dong H, Wang Z, Liu H (2021) A partial-node-based approach to state estimation for complex networks with sensor saturations under random access protocol. IEEE Trans Neural Netw Learn Syst 32(11):5167–5178MathSciNet Hou N, Dong H, Wang Z, Liu H (2021) A partial-node-based approach to state estimation for complex networks with sensor saturations under random access protocol. IEEE Trans Neural Netw Learn Syst 32(11):5167–5178MathSciNet
42.
Zurück zum Zitat Hou N, Wang Z, Ho DWC, Dong H (2020) Robust partial-nodes-based state estimation for complex networks under deception attacks. IEEE Trans Cybern 50(6):2793–2802 Hou N, Wang Z, Ho DWC, Dong H (2020) Robust partial-nodes-based state estimation for complex networks under deception attacks. IEEE Trans Cybern 50(6):2793–2802
43.
Zurück zum Zitat Liu Y, Wang Z, Ma L, Alsaadi FE (2019) A partial-nodes-based information fusion approach to state estimation for discrete-time delayed stochastic complex networks. Inf Fus 49:240–248 Liu Y, Wang Z, Ma L, Alsaadi FE (2019) A partial-nodes-based information fusion approach to state estimation for discrete-time delayed stochastic complex networks. Inf Fus 49:240–248
44.
Zurück zum Zitat Wang L, Zhao D, Wang Y-A, Ding D, Liu H (2022) Partial-neurons-based state estimation for artificial neural networks under constrained bit rate: the finite-time case. Neurocomputing 488:144–153 Wang L, Zhao D, Wang Y-A, Ding D, Liu H (2022) Partial-neurons-based state estimation for artificial neural networks under constrained bit rate: the finite-time case. Neurocomputing 488:144–153
45.
Zurück zum Zitat Li J, Dong H, Wang Z, Bu X (2020) Partial-neurons-based passivity-guaranteed state estimation for neural networks with randomly occurring time delays. IEEE Trans Neural Netw Learn Syst 31(9):3747–3753MathSciNet Li J, Dong H, Wang Z, Bu X (2020) Partial-neurons-based passivity-guaranteed state estimation for neural networks with randomly occurring time delays. IEEE Trans Neural Netw Learn Syst 31(9):3747–3753MathSciNet
46.
Zurück zum Zitat Liu S, Wang Z, Shen B, Wei G (2021) Partial-neurons-based state estimation for delayed neural networks with state-dependent noises under redundant channels. Inf Sci 547:931–944MathSciNetMATH Liu S, Wang Z, Shen B, Wei G (2021) Partial-neurons-based state estimation for delayed neural networks with state-dependent noises under redundant channels. Inf Sci 547:931–944MathSciNetMATH
47.
Zurück zum Zitat Shen B, Wang Z, Shu H, Wei G (2011) \(H_{\infty }\) filtering for uncertain time-varying systems with multiple randomly occurred nonlinearities and successive packet dropouts. Int J Robust Nonlinear Control 21(14):1693–1709MathSciNetMATH Shen B, Wang Z, Shu H, Wei G (2011) \(H_{\infty }\) filtering for uncertain time-varying systems with multiple randomly occurred nonlinearities and successive packet dropouts. Int J Robust Nonlinear Control 21(14):1693–1709MathSciNetMATH
Metadaten
Titel
Partial-Neurons-Based State Estimation for Time-Varying Neural Networks Subject to Randomly Occurring Time Delays under Variance Constraint
verfasst von
Jun Hu
Yan Gao
Cai Chen
Junhua Du
Chaoqing Jia
Publikationsdatum
13.06.2023
Verlag
Springer US
Erschienen in
Neural Processing Letters / Ausgabe 6/2023
Print ISSN: 1370-4621
Elektronische ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-023-11312-2

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