Items related to Matrix Diagonal Stability in Systems and Computation
Synopsis
Matrix diagonal stability and the related diagonal type Liapunov functions possess properties that make them attractive and very useful for applications. This new book addresses the matrix-stability concept and its applications to the analysis and design of several types of dynamical systems, both discrete-time and continuous-time. The comprehensive presentation begins with an introductory chapter surveying applied examples from diverse fields, i.e., robust stability analysis, asynchronous iterative computation, neural networks and variable structure dynamical systems. The next few chapters develop the theory and includes a unified presentation of results in the area of matrix-diagonal stability and D-stability. The remaining chapters examine the various applications in greater detail. Both classical and new results are discussed, and the overall treatment is self-contained, only requiring linear algebra, difference equations and differential equations. Topics and Diverse applications presented with minimum of technical prerequisites
Unified presentation of results on discrete-time and continuous-time diagonal and D-stability
Extensive guide to current literature and discussion of open problems
Asynchronous iterative methods
Stability and stabilization
Neural networks, circuits and systems "Matrix Diagonal Stability in Systems and Computation" provides an essential reference for new methods and analysis related to dynamical systems described by linear and nonlinear ordinary differential equations and difference equations. Researchers, professionals and graduates in applied math, control engineering, stability of dynamical systems, scientific computation and computer science will find the book a successful guide to current results and developments.
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