Lin Xiao

Neural networks and neural dynamics are powerful approaches for the online solution of mathematical problems arising in many areas of science, engineering, and business. Compared with conventional gradient neural networks that only deal with static problems of constant coefficient matrices and vectors, the authors’ new method called zeroing dynamics solves time-varying problems. Zeroing Dynamics, Gradient Dynamics, and Newton Iterations is the first book that shows how to accurately and efficiently solve time-varying problems in real-time or online using continuous- or discrete-time zeroing dynamics. The book brings together research in the developing fields of neural networks, neural dynamics, computer mathematics, numerical algorithms, time-varying computation and optimization, simulation and modeling, analog and digital hardware, and fractals.The authors provide a comprehensive treatment of the theory of both static and dynamic neural networks. Readers will discover how novel theoretical results have been successfully applied to many practical problems. The authors develop, analyze, model, simulate, and compare zeroing dynamics models for the online solution of numerous time-varying problems, such as root finding, nonlinear equation solving, matrix inversion, matrix square root finding, quadratic optimization, and inequality solving.

Zeroing Neural Networks Describes the theoretical and practical aspects of finite-time ZNN methods for solving an array of computational problems Zeroing Neural Networks (ZNN) have become essential tools for solving discretized sensor-driven time-varying matrix problems in engineering, control theory, and on-chip applications for robots. Building on the original ZNN model, finite-time zeroing neural networks (FTZNN) enable efficient, accurate, and predictive real-time computations. Setting up discretized FTZNN algorithms for different time-varying matrix problems requires distinct steps. Zeroing Neural Networks provides in-depth information on the finite-time convergence of ZNN models in solving computational problems. Divided into eight parts, this comprehensive resource covers modeling methods, theoretical analysis, computer simulations, nonlinear activation functions, and more. Each part focuses on a specific type of time-varying computational problem, such as the application of FTZNN to the Lyapunov equation, linear matrix equation, and matrix inversion. Throughout the book, tables explain the performance of different models, while numerous illustrative examples clarify the advantages of each FTZNN method. In addition, the book: Describes how to design, analyze, and apply FTZNN models for solving computational problems Presents multiple FTZNN models for solving time-varying computational problems Details the noise-tolerance of FTZNN models to maximize the adaptability of FTZNN models to complex environments Includes an introduction, problem description, design scheme, theoretical analysis, illustrative verification, application, and summary in every chapter Zeroing Neural Networks: Finite-time Convergence Design, Analysis and Applications is an essential resource for scientists, researchers, academic lecturers, and postgraduates in the field, as well as a valuable reference for engineers and other practitioners working in neurocomputing and intelligent control.

This book investigates the basic theoretical framework and conducts a logical analysis of China’s new supply-side economics, while also providing a strategic path to remedy the plight of China’s economic development. From the perspective of connotation, theory and methods, China’s structural reform differs both from that proposed by the Western supply-side school or supply-side economics, and from that proposed by structural economists. The theoretical basis of supply-side structural reform falls under socialist political economics with Chinese characteristics, and the new supply-side economics represent an important component of socialist political economics with Chinese characteristics.

This book discusses the latest developments in the China Pilot Free- Trade Zone strategy. It puts forward and explains the idea that building the Shanghai Pilot Free-Trade Zone (SFTZ) is a national test, as it is a major strategic decision to help China cope with the new situation resulting from opening-up and the further implementation of the reform. Based on China’s strategic demand in the era of globalization, this book takes into account the global structure of trade, investment and changes in standards, and studies the system of SFTZ. Moreover, based on the national strategy of building international-caliber free-trade zone, it compares the SFTZ with other established free-trade zones and free-port cities. It reveals the overall SFTZ framework and explains in detail aspects of the financial system, investment management, trade supervision, taxation, offshore trade and finance, government system reform, plus the linkage mechanism of building Shanghai as an international economy, finance, trade and shipping center.

This book investigates the basic theoretical framework and conducts a logical analysis of China’s new supply-side economics, while also providing a strategic path to remedy the plight of China’s economic development. From the perspective of connotation, theory and methods, China’s structural reform differs both from that proposed by the Western supply-side school or supply-side economics, and from that proposed by structural economists. The theoretical basis of supply-side structural reform falls under socialist political economics with Chinese characteristics, and the new supply-side economics represent an important component of socialist political economics with Chinese characteristics.

This book discusses the latest developments in the China Pilot Free- Trade Zone strategy. It puts forward and explains the idea that building the Shanghai Pilot Free-Trade Zone (SFTZ) is a national test, as it is a major strategic decision to help China cope with the new situation resulting from opening-up and the further implementation of the reform. Based on China’s strategic demand in the era of globalization, this book takes into account the global structure of trade, investment and changes in standards, and studies the system of SFTZ. Moreover, based on the national strategy of building international-caliber free-trade zone, it compares the SFTZ with other established free-trade zones and free-port cities. It reveals the overall SFTZ framework and explains in detail aspects of the financial system, investment management, trade supervision, taxation, offshore trade and finance, government system reform, plus the linkage mechanism of building Shanghai as an international economy, finance, trade and shipping center.

Neural networks and neural dynamics are powerful approaches for the online solution of mathematical problems arising in many areas of science, engineering, and business. Compared with conventional gradient neural networks that only deal with static problems of constant coefficient matrices and vectors, the authors’ new method called zeroing dynamics solves time-varying problems. Zeroing Dynamics, Gradient Dynamics, and Newton Iterations is the first book that shows how to accurately and efficiently solve time-varying problems in real-time or online using continuous- or discrete-time zeroing dynamics. The book brings together research in the developing fields of neural networks, neural dynamics, computer mathematics, numerical algorithms, time-varying computation and optimization, simulation and modeling, analog and digital hardware, and fractals.The authors provide a comprehensive treatment of the theory of both static and dynamic neural networks. Readers will discover how novel theoretical results have been successfully applied to many practical problems. The authors develop, analyze, model, simulate, and compare zeroing dynamics models for the online solution of numerous time-varying problems, such as root finding, nonlinear equation solving, matrix inversion, matrix square root finding, quadratic optimization, and inequality solving.