Time-delay systems analysis and control using the Lambert W function - Yi, Sun (World Scientific, 2010)
Includes bibliographical references (pages 129-139) and index
Introduction -- Solutions of systems of DDEs via the matrix Lambert W Function -- Stability of systems of DDEs via the Lambert W Function with application to machine tool chatter -- Controllability and observability of systems of linear delay differential equations via the matrix Lambert W Function -- Eigenvalue assignment via the Lambert W Function for control of time-delay systems -- Robust control and time-domain specifications for systems of delay differential equations via eigenvalue assignment -- Design of observer-based feedback control for time-delay systems with application to automotive powertrain control -- Eigenvalues and sensitivity analysis for a model of HIV pathogenesis with an intracellular delay
"This book comprehensively presents a recently developed novel methodology for analysis and control of time-delay systems. Time-delays frequently occurs in engineering and science. Such time-delays can cause problems (e.g. instability) and limit the achievable performance of control systems. The concise and self-contained volume uses the Lambert W function to obtain solutions to time-delay systems represented by delay differential equations. Subsequently, the solutions are used to analyze essential system properties and to design controllers precisely and effectively."--Publisher's description