from dimension free matrix theory to cross dimensional dynamic systems

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From Dimension Free Matrix Theory to Cross Dimensional Dynamic Systems
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Publisher : Academic Press
Release Date :
ISBN 10 : 0128178027
Pages : 364 pages
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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.

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

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Control 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

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Stabilization 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

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While many books have been written on chaos, this unique work bridges the gap between theory and application to help both scientists and students use the theory of nonlinear dynamical systems in their own field of research. Including numerous examples, the volume will serve as a text for an upper-level

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International Aerospace Abstracts

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Methods in the Qualitative Theory of Dynamical Systems in Astrophysics and Gas Dynamics

Download or read online Methods in the Qualitative Theory of Dynamical Systems in Astrophysics and Gas Dynamics written by Oleg Igorevich Bogoi︠a︡vlenskiĭ, published by Springer Verlag which was released on 1985. Get Methods in the Qualitative Theory of Dynamical Systems in Astrophysics and Gas Dynamics Books now! Available in

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