Time-Delay Systems: Analysis, Optimization and Applications

Modeling. Mathematical Description of Time-Delay (TD) Systems: Modeling. State-Space Representation. Frequency-Domain Representation. Linearization of Nonlinear TD Systems. Large-Scale TD Systems. Analysis. Analysis of TD Systems: Homogeneous State Equation - Fundamental Matrix. Forced State Equation - Complete Solution. Adjoint State Equations. Stability of TD Systems: Time Domain. Frequency Domain. Controllability and Observability of Linear TD Systems: Definitions. Criteria. Optimization. Optimization of TD Systems: The Maximum Principle. Generalized Riccati Method. Dynamic Programming Method. Time-Optimal Control. Suboptimal Control of TD Systems: Sensitivity Approach. Nondelay Conversion Approach. Suboptimal Control of Nonlinear TD Systems. Singular Perturbation Method. Sensitivity to Parameter Variations. Near-Optimum Design of Large-Scale TD Systems: Near-Optimum Control of Coupled TD Systems. Hierarchical Control. Applications. Some Applications of TD Systems: Cold Rolling Mills. Traffic Control. Water Resources Systems. A Hydraulic Level System. Control of TD Systems via Smith Predictor. Appendices: Review of Linear Algebra. Review of Laplace, z and Modified z Transforms.