"The book provides an essential reference for new methods and analysis related to dynamical systems described by linear and nonlinear ordinary differential equations and difference equations. As such, it is addressed to researchers, professionals, and graduates in applied mathematics, control engineering, stability of dynamical systems, convergence of algorithms, and scientific computation." -Zentralblatt Math "The authors admirably present a great wealth of theoretical results and exciting applications and a long list of relevant references on diagonal stability. It would not be surprising if the reader finds that a dynamic system in his or her own research is diagonally stable." -SIAM Review "The book is self-contained, includes both classical and new results presented in a unified way, and includes a great variety of useful references." -EMS Newsletter

• 1 Diagonally Stable Structures in Systems and Computa tion.- 2 Matrix Diagonal and D-Stability.- 3 Mathematical Models Admitting Diagonal-Type Lia punov Functions.- 4 Convergence of Asynchronous Iterative Methods.- 5 Neural Networks, Circuits, and Systems.- 6 Interconnected Systems: Stability and Stabilization.- Epilogue.- References.

"The book provides an essential reference for new methods and analysis related to dynamical systems described by linear and nonlinear ordinary differential equations and difference equations. As such, it is addressed to researchers, professionals, and graduates in applied mathematics, control engineering, stability of dynamical systems, convergence of algorithms, and scientific computation." -Zentralblatt Math "The authors admirably present a great wealth of theoretical results and exciting applications and a long list of relevant references on diagonal stability. It would not be surprising if the reader finds that a dynamic system in his or her own research is diagonally stable." -SIAM Review "The book is self-contained, includes both classical and new results presented in a unified way, and includes a great variety of useful references." -EMS Newsletter

• 1 Diagonally Stable Structures in Systems and Computa tion.- 2 Matrix Diagonal and D-Stability.- 3 Mathematical Models Admitting Diagonal-Type Lia punov Functions.- 4 Convergence of Asynchronous Iterative Methods.- 5 Neural Networks, Circuits, and Systems.- 6 Interconnected Systems: Stability and Stabilization.- Epilogue.- References.

"The book provides an essential reference for new methods and analysis related to dynamical systems described by linear and nonlinear ordinary differential equations and difference equations. As such, it is addressed to researchers, professionals, and graduates in applied mathematics, control engineering, stability of dynamical systems, convergence of algorithms, and scientific computation." -Zentralblatt Math "The authors admirably present a great wealth of theoretical results and exciting applications and a long list of relevant references on diagonal stability. It would not be surprising if the reader finds that a dynamic system in his or her own research is diagonally stable." -SIAM Review "The book is self-contained, includes both classical and new results presented in a unified way, and includes a great variety of useful references." -EMS Newsletter

• 1 Diagonally Stable Structures in Systems and Computa tion.- 2 Matrix Diagonal and D-Stability.- 3 Mathematical Models Admitting Diagonal-Type Lia punov Functions.- 4 Convergence of Asynchronous Iterative Methods.- 5 Neural Networks, Circuits, and Systems.- 6 Interconnected Systems: Stability and Stabilization.- Epilogue.- References.