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Full Description
Time delays are important components of many systems in, for instance, 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, they model transport phenomena and heredity, and they 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 and applicable to a broad class of linear time-delay systems.
In this revised edition, the authors:
Make the leap from stabilization to the design of robust and optimal controllers and from retarded-type to neutral-type delay systems, thus enlarging the scope of the book within control.
Include new, state-of-the-art material on numerical methods and algorithms to broaden the book's focus and to reach additional research communities, in particular numerical linear algebra and numerical optimization.
Increase the number and range of applications to better illustrate the effectiveness and generality of their approach.
In this revised edition, the authors make the leap from stabilization to the design of robust and optimal controllers and from retarded-type to neutral-type delay systems, thus enlarging the scope of the book within control; include new, state-of-the-art material on numerical methods and algorithms to broaden the book's focus and to reach additional research communities, in particular numerical linear algebra and numerical optimization; and increase the number and range of applications to better illustrate the effectiveness and generality of their approach.
Contents
Part I: Stability Analysis of Linear Time-Delay Systems
Chapter 1: Spectral Properties of Linear Time-Delay Systems
Chapter 2: Computation of Characteristic Roots
Chapter 3: Pseudospectra and Robust Stability Analysis
Chapter 4: Computation of H2 and H-infinity Norms
Chapter 5: Computation of Stability Regions in Parameter Spaces
Chapter 6: Stability Regions in Delay-Parameter Spaces
Part II: Stabilization and Robust Fixed-Order Control
Chapter 7: Stabilization Using a Direct Eigenvalue Optimization Approach
Chapter 8: Stabilizability with Delayed Feedback: A Numerical Case Study
Chapter 9: Optimization of H-infinity Norms
Part III: Applications
Chapter 10: Output Feedback Stabilization Using Delays as Control Parameters
Chapter 11: Smith predictor for Stable Systems: Delay Sensitivity Analysis
Chapter 12: Controlling Unstable Systems Using Finite Spectrum Assignment
Chapter 13: Congestion Control Algorithms in Networks
Chapter 14: Consensus Problems with Distributed Delays, with Traffic Flow Applications
Chapter 15: Synchronization of Delay-Coupled Oscillators
Chapter 16: Stability Analysis of Delay Models in Biosciences
