Daizhan Cheng's Books

From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems

By: Daizhan Cheng

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From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems

By: Daizhan Cheng

From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems illuminates the underlying mathematics of semi-tensor product (STP), a generalized matrix product that extends the conventional matrix product to two matrices of arbitrary dimensions. Dimension-varying systems feature prominently across many disciplines, and through innovative applications its newly developed theory can revolutionize large data systems such as genomics and biosystems, deep learning, IT, and information-based engineering applications. - Provides, for the first time, cross-dimensional system theory that is useful for modeling dimension-varying systems. - Offers potential applications to the analysis and control of new dimension-varying systems. - Investigates the underlying mathematics of semi-tensor product, including the equivalence and lattice structure of matrices and monoid of matrices with arbitrary dimensions.

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Page Count

366

Publisher

Academic Press

Published Date

ISBN 10

0128178027

ISBN 13

9780128178027

An Introduction To Semi-tensor Product Of Matrices And Its Applications

By: Daizhan Cheng,Hongsheng Qi,Yin Zhao

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An Introduction To Semi-tensor Product Of Matrices And Its Applications

By: Daizhan Cheng,Hongsheng Qi,Yin Zhao

A generalization of Conventional Matrix Product (CMP), called the Semi-Tensor Product (STP), is proposed. It extends the CMP to two arbitrary matrices and maintains all fundamental properties of CMP. In addition, it has a pseudo-commutative property, which makes it more superior to CMP. The STP was proposed by the authors to deal with higher-dimensional data as well as multilinear mappings. After over a decade of development, STP has been proven to be a powerful tool in dealing with nonlinear and logical calculations.This book is a comprehensive introduction to the theory of STP and its various applications, including logical function, fuzzy control, Boolean networks, analysis and control of nonlinear systems, amongst others.

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Page Count

610

Publisher

World Scientific

Published Date

ISBN 10

9814458015

ISBN 13

9789814458016

Analysis and Design of Nonlinear Control Systems

By: Daizhan Cheng,Xiaoming Hu,Tielong Shen

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Analysis and Design of Nonlinear Control Systems

By: Daizhan Cheng,Xiaoming Hu,Tielong Shen

Analysis and Design of Nonlinear Control Systems" provides a comprehensive and up to date introduction to nonlinear control systems, including system analysis and major control design techniques. The book is self-contained, providing sufficient mathematical foundations for understanding the contents of each chapter. Scientists and engineers engaged in the field of Nonlinear Control Systems will find it an extremely useful handy reference book. Dr. Daizhan Cheng, a professor at Institute of Systems Science, Chinese Academy of Sciences, has been working on the control of nonlinear systems for over 30 years and is currently a Fellow of IEEE and a Fellow of IFAC, he is also the chairman of Technical Committee on Control Theory, Chinese Association of Automation.

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Page Count

551

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642115500

ISBN 13

9783642115509

From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems

By: Daizhan Cheng

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From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems

By: Daizhan Cheng

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Page Count

366

Publisher

Academic Press

Published Date

ISBN 10

0128178027

ISBN 13

9780128178027

Analysis and Control of Boolean Networks

A Semi-tensor Product Approach

By: Daizhan Cheng,Hongsheng Qi,Zhiqiang Li

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Analysis and Control of Boolean Networks

A Semi-tensor Product Approach

By: Daizhan Cheng,Hongsheng Qi,Zhiqiang Li

Analysis and Control of Boolean Networks presents a systematic new approach to the investigation of Boolean control networks. The fundamental tool in this approach is a novel matrix product called the semi-tensor product (STP). Using the STP, a logical function can be expressed as a conventional discrete-time linear system. In the light of this linear expression, certain major issues concerning Boolean network topology – fixed points, cycles, transient times and basins of attractors – can be easily revealed by a set of formulae. This framework renders the state-space approach to dynamic control systems applicable to Boolean control networks. The bilinear-systemic representation of a Boolean control network makes it possible to investigate basic control problems including controllability, observability, stabilization, disturbance decoupling etc.

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Page Count

474

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0857290975

ISBN 13

9780857290977

Analysis and Design of Nonlinear Control Systems

By: Daizhan Cheng,Xiaoming Hu,Tielong Shen

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Analysis and Design of Nonlinear Control Systems

By: Daizhan Cheng,Xiaoming Hu,Tielong Shen

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Page Count

551

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642115500

ISBN 13

9783642115509

Analysis and Control of Boolean Networks

A Semi-tensor Product Approach

By: Daizhan Cheng,Hongsheng Qi,Zhiqiang Li

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Analysis and Control of Boolean Networks

A Semi-tensor Product Approach

By: Daizhan Cheng,Hongsheng Qi,Zhiqiang Li

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Solve jigsaw puzzle

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Page Count

474

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0857290975

ISBN 13

9780857290977

Book's by Daizhan Cheng

From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems

From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems

An Introduction To Semi-tensor Product Of Matrices And Its Applications

An Introduction To Semi-tensor Product Of Matrices And Its Applications

Analysis and Design of Nonlinear Control Systems

Analysis and Design of Nonlinear Control Systems

From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems

From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems

Analysis and Control of Boolean Networks

Analysis and Control of Boolean Networks

Analysis and Design of Nonlinear Control Systems

Analysis and Design of Nonlinear Control Systems

Analysis and Control of Boolean Networks

Analysis and Control of Boolean Networks

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