Stability, Control, and Computation for Time-Delay Systems: An Eigenvalue-Based Approach, 2e

In Stability, Control, and Computation for Time-Delay Systems, the authors make the leap from stabilization to the design of robust and optimal controllers; the authors also transition readers from the retarded type to neutral type delay systems, enlarging the scope of the book within control. The text includes new, state-of-the-art material on numerical methods and algorithms to broaden the focus and to reach additional research communities; in particular, numerical linear algebra and numerical optimization. The text also increases the number and range of applications to better illustrate the effectiveness and generality of their approach.

Time delays are important components of many systems (including engineering, physics, economics, and the life sciences) because the transfer of material, energy, and information is usually not instantaneous. Time delays may appear as computation and communication lags, model transport phenomena and heredity, and arise as feedback delays in control loops. This monograph addresses the problem of stability analysis, stabilization, and robust fixed-order control of dynamical systems subject to delays, including both retarded and neutral type systems. Within the eigenvalue-based framework, an overall solution is given to the stability analysis, stabilization, and robust control design problem, using both analytical methods and numerical algorithms. These are applicable to a broad class of linear time-delay systems.

A set of MATLAB files for analysis and control of time-delay systems is available for download.