# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 21 Publications since 2008, including 1 Book
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#### Co-Authors

 1 single-authored 20 Liu, Xinzhi 8 Xie, Wei-Chau 3 Sugati, Taghreed G. 1 Akhmet, Marat Ubaydulla 1 Ayati, Moosa 1 Ingalls, Brian P. 1 Khaloozadeh, Hamid 1 Kiyak, Humeyra
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#### Serials

 3 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 2 Journal of the Franklin Institute 1 Applied Mathematics and Computation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Stochastic Analysis and Applications 1 Mathematical and Computer Modelling 1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 1 Communications in Nonlinear Science and Numerical Simulation 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Nonlinear Analysis. Hybrid Systems 1 Asian Journal of Control 1 Journal of Applied Nonlinear Dynamics 1 Nonlinear Physical Science
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#### Fields

 13 Systems theory; control (93-XX) 12 Ordinary differential equations (34-XX) 5 Probability theory and stochastic processes (60-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

11 Publications have been cited 102 times in 94 Documents Cited by Year
Existence, continuation, and uniqueness problems of stochastic impulsive systems with time delay. Zbl 1205.60107
Alwan, Mohamad S.; Liu, Xinzhi; Xie, Wei-Chau
2010
On stability of linear and weakly nonlinear switched systems with time delay. Zbl 1187.34067
2008
Stability of singularly perturbed switched systems with time delay and impulsive effects. Zbl 1181.34084
2009
Exponential stability of singularly perturbed switched systems with time delay. Zbl 1225.34077
Alwan, Mohamad; Liu, Xinzhi; Ingalls, Brian
2008
On design of robust reliable $$H_\infty$$ control and input-to-state stabilization of uncertain stochastic systems with state delay. Zbl 1255.93126
Alwan, Mohamad S.; Liu, Xinzhi; Xie, Wei-Chau
2013
Comparison principle and stability of differential equations with piecewise constant arguments. Zbl 1278.93135
Alwan, Mohamad S.; Liu, Xinzhi; Xie, Wei-Chau
2013
Stability properties of nonlinear stochastic impulsive systems with time delay. Zbl 1354.34131
Alwan, Mohamad S.; Liu, Xinzhi; Xie, Wei-Chau
2016
Theory of hybrid systems: deterministic and stochastic. Zbl 1439.34001
2018
Stability and input-to-state stability for stochastic systems and applications. Zbl 1410.93134
2015
On chaotic synchronization via impulsive control and piecewise constant arguments. Zbl 1418.34107
Alwan, Mohamad S.; Liu, Xinzhi; Akhmet, Marat U.
2015
Input-to-state stability of large-scale stochastic impulsive systems with time delay and application to control systems. Zbl 1327.93395
Alwan, M. S.; Liu, X. Z.; Xie, W.-C.
2015
Theory of hybrid systems: deterministic and stochastic. Zbl 1439.34001
2018
Stability properties of nonlinear stochastic impulsive systems with time delay. Zbl 1354.34131
Alwan, Mohamad S.; Liu, Xinzhi; Xie, Wei-Chau
2016
Stability and input-to-state stability for stochastic systems and applications. Zbl 1410.93134
2015
On chaotic synchronization via impulsive control and piecewise constant arguments. Zbl 1418.34107
Alwan, Mohamad&nbsp;S.; Liu, Xinzhi; Akhmet, Marat&nbsp;U.
2015
Input-to-state stability of large-scale stochastic impulsive systems with time delay and application to control systems. Zbl 1327.93395
Alwan, M. S.; Liu, X. Z.; Xie, W.-C.
2015
On design of robust reliable $$H_\infty$$ control and input-to-state stabilization of uncertain stochastic systems with state delay. Zbl 1255.93126
Alwan, Mohamad S.; Liu, Xinzhi; Xie, Wei-Chau
2013
Comparison principle and stability of differential equations with piecewise constant arguments. Zbl 1278.93135
Alwan, Mohamad S.; Liu, Xinzhi; Xie, Wei-Chau
2013
Existence, continuation, and uniqueness problems of stochastic impulsive systems with time delay. Zbl 1205.60107
Alwan, Mohamad S.; Liu, Xinzhi; Xie, Wei-Chau
2010
Stability of singularly perturbed switched systems with time delay and impulsive effects. Zbl 1181.34084
2009
On stability of linear and weakly nonlinear switched systems with time delay. Zbl 1187.34067
2008
Exponential stability of singularly perturbed switched systems with time delay. Zbl 1225.34077
Alwan, Mohamad; Liu, Xinzhi; Ingalls, Brian
2008
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#### Cited by 166 Authors

 11 Liu, Xinzhi 5 Alwan, Mohamad S. 5 Deng, Feiqi 5 Yao, Fengqi 4 Cheng, Pei 4 Li, Xiaodi 4 Xu, Liguang 4 Zhu, Quanxin 3 Chen, Qingwei 3 He, Danhua 3 Ma, Xiaoping 3 Sakthivel, Rathinasamy 3 Wang, Qianjin 3 Xiang, Zhengrong 3 Zhong, Shou-Ming 3 Zhou, Linna 2 Akça, Haydar 2 Bai, Liang 2 Cai, Yuanli 2 Daafouz, Jamal 2 Dai, Binxiang 2 Mathiyalagan, Kalidass 2 Niamsup, Piyapong 2 Rakkiyappan, Rajan 2 Rojsiraphisal, Thaned 2 Shen, Jianhua 2 Shen, Lijuan 2 Sun, Yuangong 2 Tan, Xuegang 2 Tian, Yazhou 2 Wang, Yanwu 2 Wen, Changyun 2 Xie, Wei-Chau 2 Yang, Chunyu 2 Yang, Wu 2 Yuan, Shuai 2 Zheng, Wei Xing 2 Zhu, Wei 1 Abdelouahab, Mohammed-Salah 1 Alzabut, Jehad O. 1 Barkhordari Yazdi, Mojtaba 1 Bereketoglu, Huseyin 1 Cao, Dengqing 1 Cao, Jinde 1 Chatbupapan, Watcharin 1 Chen, Huabin 1 Chen, Huatao 1 Chen, Jinxiang 1 Chen, Wuhua 1 Chen, Yuming 1 Cheng, Yebin 1 Chiu, Kuo-Shou 1 Church, Kevin E. M. 1 Dai, Zhenlei 1 Dieu, Nguyen Thanh 1 Du, Yuanhua 1 Ellouze, Ines 1 Emelianova, Julia P. 1 Fang, Jian’an 1 Fang, Zhuang 1 Fei, Shumin 1 Fu, Minyue 1 Ge, Shuzhi Sam 1 Georgieva, Atanaska 1 Ghadiri, Hamid 1 Girard, Antoine 1 Gu, Xian-Ming 1 Guan, Zhihong 1 Guo, Yao 1 He, Guang 1 Hou, Linlin 1 Hu, Hao 1 Hua, Mingang 1 Huang, Biao 1 Huang, Xiaozhong 1 Jahed-Motlagh, Mohammad Reza 1 Jiang, Bin 1 Jiao, Ticao 1 Kao, Yonggui 1 Kaouache, Smail 1 Keadnarmol, Panuwat 1 Khelifa, Hizia 1 Kostadinov, Stepan I. 1 Kwon, O. M. 1 Lafci, Mehtap 1 Li, Bing 1 Li, Dingshi 1 Li, Shuyong 1 Li, Zhao 1 Li, Zhen 1 Lian, Jie 1 Lin, Wei 1 Liu, Fei 1 Liu, Shengqiang 1 Liu, Shilong 1 Liu, Shutang 1 Liu, Xiaoyan 1 Liu, Xingwen 1 Liu, Yajuan 1 Lu, Xiaomei ...and 66 more Authors
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#### Cited in 42 Serials

 11 Applied Mathematics and Computation 6 Journal of the Franklin Institute 6 Nonlinear Analysis. Hybrid Systems 5 Communications in Nonlinear Science and Numerical Simulation 4 Automatica 4 Mathematical Problems in Engineering 4 Advances in Difference Equations 3 Mathematical Methods in the Applied Sciences 3 Stochastic Analysis and Applications 3 Abstract and Applied Analysis 2 International Journal of Systems Science 2 Chaos, Solitons and Fractals 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Applied Mathematics Letters 2 Mathematical and Computer Modelling 2 International Journal of Robust and Nonlinear Control 2 Complexity 2 Nonlinear Dynamics 2 Discrete Dynamics in Nature and Society 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Computers & Mathematics with Applications 1 Fuzzy Sets and Systems 1 Information Sciences 1 Journal of Differential Equations 1 Systems & Control Letters 1 Statistics & Probability Letters 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Numerical Methods for Partial Differential Equations 1 Automation and Remote Control 1 International Journal of Computer Mathematics 1 Acta Mathematica Sinica. English Series 1 Journal of Dynamical and Control Systems 1 Nonlinear Analysis. Modelling and Control 1 Journal of Systems Science and Complexity 1 SIAM Journal on Applied Dynamical Systems 1 Mediterranean Journal of Mathematics 1 Science China. Mathematics 1 Science China. Information Sciences 1 Asian Journal of Control 1 Asia Pacific Journal of Mathematics
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#### Cited in 15 Fields

 60 Systems theory; control (93-XX) 42 Ordinary differential equations (34-XX) 14 Probability theory and stochastic processes (60-XX) 3 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Numerical analysis (65-XX) 3 Biology and other natural sciences (92-XX) 2 Difference and functional equations (39-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX)