From Dimension Free Matrix Theory to Cross Dimensional Dynamic Systems

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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  • Author : Daizhan Cheng
  • Publisher : Academic Press
  • Pages : 364 pages
  • ISBN : 0128178027
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKFrom Dimension Free Matrix Theory to Cross Dimensional Dynamic Systems

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

From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems
  • Author : Daizhan Cheng
  • Publisher : Academic Press
  • Release : 18 May 2019
GET THIS BOOKFrom Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems

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

Control and Dynamic Systems V29

Control and Dynamic Systems V29
  • Author : C.T. Leonides
  • Publisher : Elsevier
  • Release : 01 January 1988
GET THIS BOOKControl and Dynamic Systems V29

Control and Dynamic Systems: Advances in Theory in Applications, Volume 29: Advances in Algorithms and Computational Techniques in Dynamic Systems Control, Part 2 of 3 discusses developments in algorithms and computational techniques for control and dynamic systems. This volume discusses some computational problems which arose in the applications of Kalman filters. It also examines system fault detection techniques; computational techniques in angle-only tracking filtering; development of real-time knowledge of system parameters; and algorithms for decentralized systems with application to stream water quality. This

Multisensor Attitude Estimation

Multisensor Attitude Estimation
  • Author : Hassen Fourati,Djamel Eddine Chouaib Belkhiat
  • Publisher : CRC Press
  • Release : 03 November 2016
GET THIS BOOKMultisensor Attitude Estimation

There has been an increasing interest in multi-disciplinary research on multisensor attitude estimation technology driven by its versatility and diverse areas of application, such as sensor networks, robotics, navigation, video, biomedicine, etc. Attitude estimation consists of the determination of rigid bodies’ orientation in 3D space. This research area is a multilevel, multifaceted process handling the automatic association, correlation, estimation, and combination of data and information from several sources. Data fusion for attitude estimation is motivated by several issues and problems,

Networks of Invasion: Empirical Evidence and Case Studies

Networks of Invasion: Empirical Evidence and Case Studies
  • Author : Anonim
  • Publisher : Academic Press
  • Release : 15 March 2017
GET THIS BOOKNetworks of Invasion: Empirical Evidence and Case Studies

Networks of Invasion bridges a conceptual gap between ecological network studies and invasion biology studies. This book contains chapters detailing pressing concerns regarding invasive species in food webs, but also extends the idea of networks of invasion to other systems, such as mutualistic networks or even the human microbiome. Chapters describe the tools, models, and empirical methods adapted for tackling invasions in ecological networks. Contains chapters detailing pressing concerns regarding invasive species in food webs Deals with topical and important

Stabilization of Switched Nonlinear Systems with Unstable Modes

Stabilization of Switched Nonlinear Systems with Unstable Modes
  • Author : Hao Yang,Bin Jiang,Vincent Cocquempot
  • Publisher : Springer
  • Release : 18 June 2014
GET THIS BOOKStabilization of Switched Nonlinear Systems with Unstable Modes

This book provides its reader with a good understanding of the stabilization of switched nonlinear systems (SNS), systems that are of practical use in diverse situations: design of fault-tolerant systems in space- and aircraft; traffic control; and heat propagation control of semiconductor power chips. The practical background is emphasized throughout the book; interesting practical examples frequently illustrate the theoretical results with aircraft and spacecraft given particular prominence. Stabilization of Switched Nonlinear Systems with Unstable Modes treats several different subclasses of

Maintenance, Safety, Risk, Management and Life-Cycle Performance of Bridges

Maintenance, Safety, Risk, Management and Life-Cycle Performance of Bridges
  • Author : Nigel Powers,Dan M. Frangopol,Riadh Al-Mahaidi,Colin Caprani
  • Publisher : CRC Press
  • Release : 04 July 2018
GET THIS BOOKMaintenance, Safety, Risk, Management and Life-Cycle Performance of Bridges

Maintenance, Safety, Risk, Management and Life-Cycle Performance of Bridges contains lectures and papers presented at the Ninth International Conference on Bridge Maintenance, Safety and Management (IABMAS 2018), held in Melbourne, Australia, 9-13 July 2018. This volume consists of a book of extended abstracts and a USB card containing the full papers of 393 contributions presented at IABMAS 2018, including the T.Y. Lin Lecture, 10 Keynote Lectures, and 382 technical papers from 40 countries. The contributions presented at IABMAS 2018 deal with the state of the art as