Xin Wang, Yu Xue, Xian Zhang and Yantao Wang are with the School of Mathematical Science, Heilongjiang University, Harbin 150080, China, and also with the Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems, Heilongjiang University, Harbin 150080, China.Xin Wang received the Ph.D. degree in navigation guidance and control from Northeastern University, Shenyang, China, in 2016. His research interests include fault diagnosis and fault-tolerant control, and time-delay systems. Yu Xue received the Ph.D. degree in control science and engineering from the Harbin Institute of Technology, Harbin, China, in 2007. Her research interests include the analysis and design of delayed dynamic systems. Xian Zhang received the Ph.D. degree in control theory from the Queen's University of Belfast, Belfast, U.K., in 2004. His research interests include neural networks and genetic regulatory networks. Yantao Wang has been dedicated to the research of neural networks since she started working.

• Introduction Backgrounds of NNs.- Global Exponential Stability and Stabilization.- Global Exponential Stability Affected Impulses.- Global Exponential Synchronization.- State Estimation.- Global Exponential Stability and Stabilization.- Lagrangian Global Exponential Stability and Stabilization.- Global Robust Exponential Stability.- H∞ Control.- Global Exponential Synchronization.- Lp Stability.

Xin Wang, Yu Xue, Xian Zhang and Yantao Wang are with the School of Mathematical Science, Heilongjiang University, Harbin 150080, China, and also with the Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems, Heilongjiang University, Harbin 150080, China.Xin Wang received the Ph.D. degree in navigation guidance and control from Northeastern University, Shenyang, China, in 2016. His research interests include fault diagnosis and fault-tolerant control, and time-delay systems. Yu Xue received the Ph.D. degree in control science and engineering from the Harbin Institute of Technology, Harbin, China, in 2007. Her research interests include the analysis and design of delayed dynamic systems. Xian Zhang received the Ph.D. degree in control theory from the Queen's University of Belfast, Belfast, U.K., in 2004. His research interests include neural networks and genetic regulatory networks. Yantao Wang has been dedicated to the research of neural networks since she started working.

• Introduction Backgrounds of NNs.- Global Exponential Stability and Stabilization.- Global Exponential Stability Affected Impulses.- Global Exponential Synchronization.- State Estimation.- Global Exponential Stability and Stabilization.- Lagrangian Global Exponential Stability and Stabilization.- Global Robust Exponential Stability.- H∞ Control.- Global Exponential Synchronization.- Lp Stability.

Xin Wang, Yu Xue, Xian Zhang and Yantao Wang are with the School of Mathematical Science, Heilongjiang University, Harbin 150080, China, and also with the Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems, Heilongjiang University, Harbin 150080, China.Xin Wang received the Ph.D. degree in navigation guidance and control from Northeastern University, Shenyang, China, in 2016. His research interests include fault diagnosis and fault-tolerant control, and time-delay systems. Yu Xue received the Ph.D. degree in control science and engineering from the Harbin Institute of Technology, Harbin, China, in 2007. Her research interests include the analysis and design of delayed dynamic systems. Xian Zhang received the Ph.D. degree in control theory from the Queen's University of Belfast, Belfast, U.K., in 2004. His research interests include neural networks and genetic regulatory networks. Yantao Wang has been dedicated to the research of neural networks since she started working.

• Introduction Backgrounds of NNs.- Global Exponential Stability and Stabilization.- Global Exponential Stability Affected Impulses.- Global Exponential Synchronization.- State Estimation.- Global Exponential Stability and Stabilization.- Lagrangian Global Exponential Stability and Stabilization.- Global Robust Exponential Stability.- H∞ Control.- Global Exponential Synchronization.- Lp Stability.