Parallel Algorithms for Optimal Control of Large Scale Linear Systems [Paperback]

Parallel Algorithms for Optimal Control of Large Scale Linear Systems is a comprehensive presentation for both linear and bilinear systems. The parallel algorithms presented in this book are applicable to a wider class of practical systems than those served by traditional methods for large scale singularly perturbed and weakly coupled systems based on the power-series expansion methods. It is intended for scientists and advance graduate students in electrical engineering and computer science who deal with parallel algorithms and control systems, especially large scale systems. The material presented is both comprehensive and unique.Parallel Algorithms for Optimal Control of Large Scale Linear Systems is a comprehensive presentation for both linear and bilinear systems. The parallel algorithms presented in this book are applicable to a wider class of practical systems than those served by traditional methods for large scale singularly perturbed and weakly coupled systems based on the power-series expansion methods. It is intended for scientists and advance graduate students in electrical engineering and computer science who deal with parallel algorithms and control systems, especially large scale systems. The material presented is both comprehensive and unique.One - Theoretical Concepts.- 2. Linear-Quadratic Control Problems.- 2.1 Introduction.- 2.2 Recursive Methods for Singularly Perturbed Linear Continuous Systems.- 2.2.1 Parallel Algorithm for Solving Algebraic Lyapunov Equation.- 2.2.2 Parallel Algorithm for Solving Algebraic Riccati Equation.- 2.2.3 Case Study: Magnetic Tape Control Problem.- 2.3 Recursive Methods for Weakly Coupled Linear Continuous Systems.- 2.3.1 Parallel Algorithm for Solving Algebraic LyapIIDov Equation.- 2.3.2 Parallel Algorithm for Solving Algebraic Riccati Equation.- 2.4 Approximate Linear Regulator Problem for Continuous Systems.- 2.5 Recursive Methods for SilcA