Ebook: Orthogonal Functions in Systems and Control

Traditionally, field theory is taught through canonical quantization with a heavy emphasis on high energy physics. However, the techniques of field theory are applicable as well and are extensively used in various other areas of physics such as consdensed matter, nuclear physics and statistical mechanics. The path integral approach brings out this feature most clearly. In this book, the path integral approach is developed in detail completely within the context of quantum mechanics. Subsequently, it is applied to various areas of physics Ch. 1. Orthogonal Functions in Systems and Control: A Historical Perspective -- Ch. 2. Least Squares Approximation of Signals -- Ch. 3. Signal Processing in Continuous Time Domain -- Ch. 4. Analysis of Time-Delay Systems -- Ch. 5. Identification of Lumped Parameter Systems -- Ch. 6. Identification of Distributed Parameter Systems -- Ch. 7. Identification of Linear Time-Varying and Nonlinear Distributed Parameter Systems -- Ch. 8. Optimal Control of Linear Systems