-
Previous Article
Optimal control of electrorheological clutch described by nonlinear parabolic equation with nonlocal boundary conditions
- JIMO Home
- This Issue
- Next Article
New passivity analysis of continuous-time recurrent neural networks with multiple discrete delays
1. | Department of Control Science & Engineering, Huazhong University of Science & Technology, and Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan, Hubei 430074, China |
2. | Texas A&M University at Qatar, Doha, P.O. Box 5825, Qatar, United States |
References:
[1] |
S. Commuri and F. L. Lewis, CMAC neural networks for control of nonlinear dynamical systems: structure, stability and passivity,, Automatica, 33 (1996), 635.
doi: 10.1016/S0005-1098(96)00180-X. |
[2] |
A. Kugi, C. Ott, A. Albu-Schaffer and G. Hirzinger, On the passivity-based impedance control of flexible joint robots,, IEEE Transactions on Robotics, 24 (2008), 416.
doi: 10.1109/TRO.2008.915438. |
[3] |
J. Li, H. R. Feng and M.C. Wang, A replenishment policy with defective products, backlog and delay of payments,, Journal of Industrial and Management Optimization, 5 (2009), 867.
doi: 10.3934/jimo.2009.5.867. |
[4] |
C. G. Li and X. F. Liao, Passivity analysis of neural networks with time delay,, IEEE Transactions on Circuits and Systems-II: Express Briefs, 52 (2005), 471. Google Scholar |
[5] |
L. Lin, D. He and Z. Y. Tan, Bounds on delay start lpt algorithm for scheduling on two identical machines in the l(p) norm,, Journal of Industrial and Management Optimization, 4 (2008), 817.
|
[6] |
X. X. Liao and J. Wang, Global dissipativity of continuous-time recurrent neural networks with time delay,, Physical Review E, 68 (2003), 1.
doi: 10.1103/PhysRevE.68.016118. |
[7] |
X. Y. Lou and B. T. Cui, Passivity analysis of integro-differential neural networks with time-varying delays,, Neurocomputing, 70 (2007), 1071. Google Scholar |
[8] |
R. Lozano, B. Brogliato, O. Egeland and B. Maschke, "Systems Analysis and Control: Theory and Applications, Dissipative,", Springer-Verlag, (2000). Google Scholar |
[9] |
M. S. Mahmoud and A. Ismail, Passivity and passification of time-delay systems,, Journal of Mathematical Analysis and Applications, 292 (2004), 247.
doi: 10.1016/j.jmaa.2003.11.055. |
[10] |
J. H. Park, Further results on passivity analysis of delayed cellular neural networks,, Chaos, 34 (2007), 1546.
doi: 10.1016/j.chaos.2005.04.124. |
[11] |
O. J. Rojas, J. Bao and P. L. Lee, On dissipativity, passivity and dynamic operability of nonlinear processes,, Journal of Process Control, 18 (2008), 515.
doi: 10.1016/j.jprocont.2007.07.007. |
[12] |
J. J. Rubio and W. Yu, Stability analysis of nonlinear system identification via delayed neural networks,, IEEE Transactions on Circuits and Systems-II: Express Briefs, 54 (2007), 161.
doi: 10.1109/TCSII.2006.886464. |
[13] |
H. Santoso, J. Bao and P. L. Lee, Dynamic operability analysis for stable and unstable linear processes,, Industrial & Engineering Chemistry Research, 47 (2008), 4765.
doi: 10.1021/ie070599c. |
[14] |
S. Wang, Q. Shao and X. Zhou, Knot-optimizing spline networks (KOSNETS) for nonparametric regression,, Journal of Industrial and Management Optimization, 4 (2008), 33.
|
[15] |
L. X. Xu and W. Q. Liu, A new recurrent neural network adaptive approach for host-gate way rate control protocol within intranets using ATM ABR service,, Journal of Industrial and Management Optimization, 1 (2005), 389.
|
[16] |
Y. Yatsenko and N. Hritonenko, Optimization of the lifetime of capital equipment using integral models,, Journal of Industrial and Management Optimization, 1 (2005), 415.
|
[17] |
W. Yu and X. Li, Some stability properties of dynamic neural networks,, IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, 48 (2001), 256.
doi: 10.1109/81.904893. |
[18] |
W. Yu and X. Li, New results on system identification with dynamic neural networks,, IEEE Transactions on Neural Networks, 12 (2001), 412.
doi: 10.1109/72.914535. |
[19] |
W. Yu, Passivity analysis for dynamic multilayer neuro identifier,, IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, 50 (2003), 173. Google Scholar |
show all references
References:
[1] |
S. Commuri and F. L. Lewis, CMAC neural networks for control of nonlinear dynamical systems: structure, stability and passivity,, Automatica, 33 (1996), 635.
doi: 10.1016/S0005-1098(96)00180-X. |
[2] |
A. Kugi, C. Ott, A. Albu-Schaffer and G. Hirzinger, On the passivity-based impedance control of flexible joint robots,, IEEE Transactions on Robotics, 24 (2008), 416.
doi: 10.1109/TRO.2008.915438. |
[3] |
J. Li, H. R. Feng and M.C. Wang, A replenishment policy with defective products, backlog and delay of payments,, Journal of Industrial and Management Optimization, 5 (2009), 867.
doi: 10.3934/jimo.2009.5.867. |
[4] |
C. G. Li and X. F. Liao, Passivity analysis of neural networks with time delay,, IEEE Transactions on Circuits and Systems-II: Express Briefs, 52 (2005), 471. Google Scholar |
[5] |
L. Lin, D. He and Z. Y. Tan, Bounds on delay start lpt algorithm for scheduling on two identical machines in the l(p) norm,, Journal of Industrial and Management Optimization, 4 (2008), 817.
|
[6] |
X. X. Liao and J. Wang, Global dissipativity of continuous-time recurrent neural networks with time delay,, Physical Review E, 68 (2003), 1.
doi: 10.1103/PhysRevE.68.016118. |
[7] |
X. Y. Lou and B. T. Cui, Passivity analysis of integro-differential neural networks with time-varying delays,, Neurocomputing, 70 (2007), 1071. Google Scholar |
[8] |
R. Lozano, B. Brogliato, O. Egeland and B. Maschke, "Systems Analysis and Control: Theory and Applications, Dissipative,", Springer-Verlag, (2000). Google Scholar |
[9] |
M. S. Mahmoud and A. Ismail, Passivity and passification of time-delay systems,, Journal of Mathematical Analysis and Applications, 292 (2004), 247.
doi: 10.1016/j.jmaa.2003.11.055. |
[10] |
J. H. Park, Further results on passivity analysis of delayed cellular neural networks,, Chaos, 34 (2007), 1546.
doi: 10.1016/j.chaos.2005.04.124. |
[11] |
O. J. Rojas, J. Bao and P. L. Lee, On dissipativity, passivity and dynamic operability of nonlinear processes,, Journal of Process Control, 18 (2008), 515.
doi: 10.1016/j.jprocont.2007.07.007. |
[12] |
J. J. Rubio and W. Yu, Stability analysis of nonlinear system identification via delayed neural networks,, IEEE Transactions on Circuits and Systems-II: Express Briefs, 54 (2007), 161.
doi: 10.1109/TCSII.2006.886464. |
[13] |
H. Santoso, J. Bao and P. L. Lee, Dynamic operability analysis for stable and unstable linear processes,, Industrial & Engineering Chemistry Research, 47 (2008), 4765.
doi: 10.1021/ie070599c. |
[14] |
S. Wang, Q. Shao and X. Zhou, Knot-optimizing spline networks (KOSNETS) for nonparametric regression,, Journal of Industrial and Management Optimization, 4 (2008), 33.
|
[15] |
L. X. Xu and W. Q. Liu, A new recurrent neural network adaptive approach for host-gate way rate control protocol within intranets using ATM ABR service,, Journal of Industrial and Management Optimization, 1 (2005), 389.
|
[16] |
Y. Yatsenko and N. Hritonenko, Optimization of the lifetime of capital equipment using integral models,, Journal of Industrial and Management Optimization, 1 (2005), 415.
|
[17] |
W. Yu and X. Li, Some stability properties of dynamic neural networks,, IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, 48 (2001), 256.
doi: 10.1109/81.904893. |
[18] |
W. Yu and X. Li, New results on system identification with dynamic neural networks,, IEEE Transactions on Neural Networks, 12 (2001), 412.
doi: 10.1109/72.914535. |
[19] |
W. Yu, Passivity analysis for dynamic multilayer neuro identifier,, IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, 50 (2003), 173. Google Scholar |
[1] |
Tao Wu, Yu Lei, Jiao Shi, Maoguo Gong. An evolutionary multiobjective method for low-rank and sparse matrix decomposition. Big Data & Information Analytics, 2017, 2 (1) : 23-37. doi: 10.3934/bdia.2017006 |
[2] |
Charles Fulton, David Pearson, Steven Pruess. Characterization of the spectral density function for a one-sided tridiagonal Jacobi matrix operator. Conference Publications, 2013, 2013 (special) : 247-257. doi: 10.3934/proc.2013.2013.247 |
[3] |
Zengyun Wang, Jinde Cao, Zuowei Cai, Lihong Huang. Finite-time stability of impulsive differential inclusion: Applications to discontinuous impulsive neural networks. Discrete & Continuous Dynamical Systems - B, 2021, 26 (5) : 2677-2692. doi: 10.3934/dcdsb.2020200 |
[4] |
Juan Manuel Pastor, Javier García-Algarra, José M. Iriondo, José J. Ramasco, Javier Galeano. Dragging in mutualistic networks. Networks & Heterogeneous Media, 2015, 10 (1) : 37-52. doi: 10.3934/nhm.2015.10.37 |
[5] |
Gheorghe Craciun, Jiaxin Jin, Polly Y. Yu. Single-target networks. Discrete & Continuous Dynamical Systems - B, 2021 doi: 10.3934/dcdsb.2021065 |
[6] |
Rui Hu, Yuan Yuan. Stability, bifurcation analysis in a neural network model with delay and diffusion. Conference Publications, 2009, 2009 (Special) : 367-376. doi: 10.3934/proc.2009.2009.367 |
[7] |
John T. Betts, Stephen Campbell, Claire Digirolamo. Examination of solving optimal control problems with delays using GPOPS-Ⅱ. Numerical Algebra, Control & Optimization, 2021, 11 (2) : 283-305. doi: 10.3934/naco.2020026 |
[8] |
Akio Matsumot, Ferenc Szidarovszky. Stability switching and its directions in cournot duopoly game with three delays. Discrete & Continuous Dynamical Systems - B, 2021 doi: 10.3934/dcdsb.2021069 |
[9] |
Alessandro Gondolo, Fernando Guevara Vasquez. Characterization and synthesis of Rayleigh damped elastodynamic networks. Networks & Heterogeneous Media, 2014, 9 (2) : 299-314. doi: 10.3934/nhm.2014.9.299 |
[10] |
Juan Manuel Pastor, Javier García-Algarra, Javier Galeano, José María Iriondo, José J. Ramasco. A simple and bounded model of population dynamics for mutualistic networks. Networks & Heterogeneous Media, 2015, 10 (1) : 53-70. doi: 10.3934/nhm.2015.10.53 |
[11] |
Diana Keller. Optimal control of a linear stochastic Schrödinger equation. Conference Publications, 2013, 2013 (special) : 437-446. doi: 10.3934/proc.2013.2013.437 |
[12] |
Guillaume Bal, Wenjia Jing. Homogenization and corrector theory for linear transport in random media. Discrete & Continuous Dynamical Systems - A, 2010, 28 (4) : 1311-1343. doi: 10.3934/dcds.2010.28.1311 |
[13] |
Nizami A. Gasilov. Solving a system of linear differential equations with interval coefficients. Discrete & Continuous Dynamical Systems - B, 2021, 26 (5) : 2739-2747. doi: 10.3934/dcdsb.2020203 |
[14] |
Mohsen Abdolhosseinzadeh, Mir Mohammad Alipour. Design of experiment for tuning parameters of an ant colony optimization method for the constrained shortest Hamiltonian path problem in the grid networks. Numerical Algebra, Control & Optimization, 2021, 11 (2) : 321-332. doi: 10.3934/naco.2020028 |
[15] |
Alexander A. Davydov, Massimo Giulietti, Stefano Marcugini, Fernanda Pambianco. Linear nonbinary covering codes and saturating sets in projective spaces. Advances in Mathematics of Communications, 2011, 5 (1) : 119-147. doi: 10.3934/amc.2011.5.119 |
[16] |
W. Cary Huffman. On the theory of $\mathbb{F}_q$-linear $\mathbb{F}_{q^t}$-codes. Advances in Mathematics of Communications, 2013, 7 (3) : 349-378. doi: 10.3934/amc.2013.7.349 |
[17] |
Luke Finlay, Vladimir Gaitsgory, Ivan Lebedev. Linear programming solutions of periodic optimization problems: approximation of the optimal control. Journal of Industrial & Management Optimization, 2007, 3 (2) : 399-413. doi: 10.3934/jimo.2007.3.399 |
[18] |
Arunima Bhattacharya, Micah Warren. $ C^{2, \alpha} $ estimates for solutions to almost Linear elliptic equations. Communications on Pure & Applied Analysis, , () : -. doi: 10.3934/cpaa.2021024 |
[19] |
Misha Bialy, Andrey E. Mironov. Rich quasi-linear system for integrable geodesic flows on 2-torus. Discrete & Continuous Dynamical Systems - A, 2011, 29 (1) : 81-90. doi: 10.3934/dcds.2011.29.81 |
[20] |
Fumihiko Nakamura. Asymptotic behavior of non-expanding piecewise linear maps in the presence of random noise. Discrete & Continuous Dynamical Systems - B, 2018, 23 (6) : 2457-2473. doi: 10.3934/dcdsb.2018055 |
2019 Impact Factor: 1.366
Tools
Metrics
Other articles
by authors
[Back to Top]