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.Contents:Solutions of Systems of DDEs via the Matrix Lambert W FunctionStability of Systems of DDEs via the Lambert W Function with Application to Machine Tool ChatterControllability and Observability of Systems of Linear Delay Differential Equations via the Matrix Lambert W FunctionEigenvalue Assisgnment via the Lambert W Function for Control of Time-Delay SystemsRobust Control and Time-Domain Specifications for Systems of Delay Differntial Equations via Eigenvalue AssignmentDesign of Observer-Based Feedback Control for Time-Delay Systems with Application to Automotive Powertrain ControlEigenvalues and Sensitivity Analysis for a Model of HIV Pathogenesis with an Intracellular DelayReadership: Researchers and graduate students in systems engineering, mechanical engineering, analysis & differential equations and mathematical biology.