Optimal Control Theory for Infinite Dimensional Systems is popular PDF and ePub book, written by Xungjing Li in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Optimal Control Theory for Infinite Dimensional Systems can be Read Online from any device for your convenience.
Optimal Control Theory for Infinite Dimensional Systems Book PDF Summary
Infinite dimensional systems can be used to describe many phenomena in the real world. As is well known, heat conduction, properties of elastic plastic material, fluid dynamics, diffusion-reaction processes, etc., all lie within this area. The object that we are studying (temperature, displace ment, concentration, velocity, etc.) is usually referred to as the state. We are interested in the case where the state satisfies proper differential equa tions that are derived from certain physical laws, such as Newton's law, Fourier's law etc. The space in which the state exists is called the state space, and the equation that the state satisfies is called the state equation. By an infinite dimensional system we mean one whose corresponding state space is infinite dimensional. In particular, we are interested in the case where the state equation is one of the following types: partial differential equation, functional differential equation, integro-differential equation, or abstract evolution equation. The case in which the state equation is being a stochastic differential equation is also an infinite dimensional problem, but we will not discuss such a case in this book.
Detail Book of Optimal Control Theory for Infinite Dimensional Systems PDF
- Author : Xungjing Li
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9781461242604
- Genre : Mathematics
- Total Page : 462 pages
- Language : English
- PDF File Size : 8,5 Mb
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