Special Issue: Stability and Optimal Control on Uncertain Systems

Guest Editors

Prof. Yuanguo Zhu
School of Mathematics and Statistics, Nanjing University of Science and Technology, China
Email: ygzhu@njust.edu.cn


Dr. Yadong Shu
School of Mathematics and Statistics, Nanjing University of Information Science and Technology, China
Email: 003012@nuist.edu.cn


Dr. Ziqiang Lu
School of Statistics and Data Science, Nanjing Audit University, China
Email: 270578@nau.edu.cn

Manuscript Topics


In the analysis of the actual control process, there are always many unknown factors which deeply affect the theoretical study of the system and final decision making. Therefore, the study of uncertain control systems is more in line with the actual process. In recent years, the scientific research on the stability and optimal control for such uncertain systems has attached a rapidly growing interest and become an important research direction in the field of control theory and practical applications.


This special issue mainly focuses on the investigations of the stability and optimal control problems of uncertain systems. We hope this special issue can provide a platform for authors to discuss new methods and techniques for stability analysis of uncertain systems and solving the optimal control problems with applications.


Topics of interest include (but are not limited to)
• Stability and attractiveness of uncertain dynamical systems.
• Stability and attractiveness of fractional dynamical systems with uncertainty.
• Asymptotic behavior of equilibrium solution for uncertain systems.
• Optimal control theory of uncertain systems.
• Numerical methods for solving uncertain optimal control problems.
• Applications related to uncertain systems.


Instruction for Authors
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Please submit your manuscript to online submission system
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Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 31 March 2023

Published Papers(22)

Research article
Control and adaptive modified function projective synchronization of different hyperchaotic dynamical systems
M. M. El-Dessoky Nehad Almohammadi Ebraheem Alzahrani
2023, Volume 8, Issue 10: 23621-23634. doi: 10.3934/math.20231201
Abstract HTML PDF Cited (2) Viewed (1316)
Research article
Robust stability and boundedness of uncertain conformable fractional-order delay systems under input saturation
Danhua He Baizeng Bao Liguang Xu
2023, Volume 8, Issue 9: 21123-21137. doi: 10.3934/math.20231076
Abstract HTML PDF Cited (2) Viewed (1292)
Research article
Uncertain random problem for multistage switched systems
Guangyang Liu Yang Chang Hongyan Yan
2023, Volume 8, Issue 10: 22789-22807. doi: 10.3934/math.20231161
Abstract HTML PDF Cited (1) Viewed (1317)
Research article
Power-barrier option pricing formulas in uncertain financial market with floating interest rate
Hua Zhao Yue Xin Jinwu Gao Yin Gao
2023, Volume 8, Issue 9: 20395-20414. doi: 10.3934/math.20231040
Abstract HTML PDF Cited (2) Viewed (1951)
Research article
Stability of scientific big data sharing mechanism based on two-way principal-agent
Wang Zhang Jingkun Zhang
2023, Volume 8, Issue 8: 18762-18779. doi: 10.3934/math.2023955
Abstract HTML PDF Cited (2) Viewed (4090)
Research article
Model-free control approach to uncertain Euler-Lagrange equations with a Lyapunov-based $ L_\infty $-gain analysis
Hae Yeon Park Jung Hoon Kim
2023, Volume 8, Issue 8: 17666-17686. doi: 10.3934/math.2023902
Abstract HTML PDF Cited (4) Viewed (1968)
Research article
Output-based event-triggered control for discrete-time systems with three types of performance analysis
Hyung Tae Choi Hae Yeon Park Jung Hoon Kim
2023, Volume 8, Issue 7: 17091-17111. doi: 10.3934/math.2023873
Abstract HTML PDF Cited (5) Viewed (1383)
Research article
The improved giant magnetostrictive actuator oscillations via positive position feedback damper
Hany Bauomy A. T. EL-Sayed A. M. Salem F. T. El-Bahrawy
2023, Volume 8, Issue 7: 16864-16886. doi: 10.3934/math.2023862
Abstract HTML PDF Cited (3) Viewed (1496)
Research article
European option pricing problem based on a class of Caputo-Hadamard uncertain fractional differential equation
Hanjie Liu Yuanguo Zhu Yiyu Liu
2023, Volume 8, Issue 7: 15633-15650. doi: 10.3934/math.2023798
Abstract HTML PDF Cited (3) Viewed (1593)
Research article
Complicate dynamical analysis of a discrete predator-prey model with a prey refuge
A. Q. Khan Ibraheem M. Alsulami
2023, Volume 8, Issue 7: 15035-15057. doi: 10.3934/math.2023768
Abstract HTML PDF Cited (11) Viewed (1716)
Research article
A cascade dead-zone extended state observer for a class of systems with measurement noise
Shihua Zhang Xiaohui Qi Sen Yang
2023, Volume 8, Issue 6: 14300-14320. doi: 10.3934/math.2023732
Abstract HTML PDF Cited (2) Viewed (1679)
Research article
Generalized first-order second-moment method for uncertain random structures
Yubing Chen Meilin Wen Qingyuan Zhang Yu Zhou Rui Kang
2023, Volume 8, Issue 6: 13454-13472. doi: 10.3934/math.2023682
Abstract HTML PDF Cited (1) Viewed (1730)
Research article
Nonlinear robust control of trajectory-following for autonomous ground electric vehicles with active front steering system
Xianjian Jin Qikang Wang Zeyuan Yan Hang Yang
2023, Volume 8, Issue 5: 11151-11179. doi: 10.3934/math.2023565
Abstract HTML PDF Cited (16) Viewed (2258)
Research article
Exponential stability analysis for nonlinear time-varying perturbed systems on time scales
Cheng-Xiu Qiang Jian-Ping Sun Ya-Hong Zhao
2023, Volume 8, Issue 5: 11131-11150. doi: 10.3934/math.2023564
Abstract HTML PDF Cited (1) Viewed (1432)
Research article
Pricing of vulnerable options based on an uncertain CIR interest rate model
Guiwen Lv Ping Xu Yanxue Zhang
2023, Volume 8, Issue 5: 11113-11130. doi: 10.3934/math.2023563
Abstract HTML PDF Cited (2) Viewed (1623)
Research article
Stochastic linear quadratic optimal tracking control for discrete-time systems with delays based on Q-learning algorithm
Xufeng Tan Yuan Li Yang Liu
2023, Volume 8, Issue 5: 10249-10265. doi: 10.3934/math.2023519
Abstract HTML PDF Cited (1) Viewed (1775)
Research article
Two-dimensional discrete-time laser model with chaos and bifurcations
Abdul Qadeer Khan Mohammed Bakheet Almatrafi
2023, Volume 8, Issue 3: 6804-6828. doi: 10.3934/math.2023346
Abstract HTML PDF Cited (10) Viewed (2028)
Research article
Predator and n-classes-of-prey model incorporating extended Holling type Ⅱ functional response for n different prey species
Saiwan Fatah Arkan Mustafa Shilan Amin
2023, Volume 8, Issue 3: 5779-5788. doi: 10.3934/math.2023291
Abstract HTML PDF Cited (1) Viewed (1718)
Research article
Uncertain multi-objective dynamic weapon-target allocation problem based on uncertainty theory
Guangjian Li Guangjun He Mingfa Zheng Aoyu Zheng
2023, Volume 8, Issue 3: 5639-5669. doi: 10.3934/math.2023284
Abstract HTML PDF Cited (2) Viewed (1721)
Research article
Transient scrutiny of $ M^X/G(a, b)/1 $ queueing system with feedback, balking and two phase of service subject to server failure under Bernoulli vacation
Rani Rajendiran Indhira Kandaiyan
2023, Volume 8, Issue 3: 5391-5412. doi: 10.3934/math.2023271
Abstract HTML PDF Cited (1) Viewed (1806)
Research article
Identification of numerical solutions of a fractal-fractional divorce epidemic model of nonlinear systems via anti-divorce counseling
Maysaa Al-Qurashi Sobia Sultana Shazia Karim Saima Rashid Fahd Jarad Mohammed Shaaf Alharthi
2023, Volume 8, Issue 3: 5233-5265. doi: 10.3934/math.2023263
Abstract HTML PDF Cited (2) Viewed (1638)
Research article
Bifurcation and chaos in a discrete activator-inhibitor system
Abdul Qadeer Khan Zarqa Saleem Tarek Fawzi Ibrahim Khalid Osman Fatima Mushyih Alshehri Mohamed Abd El-Moneam
2023, Volume 8, Issue 2: 4551-4574. doi: 10.3934/math.2023225
Abstract HTML PDF Cited (2) Viewed (1925)