Optimal Control Theory for Infinite Dimensional Systems by Xungjing Li,Jiongmin Yong

By Xungjing Li,Jiongmin Yong

countless dimensional platforms can be utilized to explain many phenomena within the actual international. As is celebrated, warmth conduction, homes of elastic­ plastic fabric, fluid dynamics, diffusion-reaction procedures, etc., all lie inside of this region. the thing that we're learning (temperature, displace­ ment, focus, pace, etc.) is generally often called the kingdom. we're drawn to the case the place the kingdom satisfies right differential equa­ tions which are derived from sure actual legislation, resembling Newton's legislation, Fourier's legislations and so on. the gap during which the nation exists is termed the kingdom area, and the equation that the nation satisfies is named the kingdom equation. by way of an enormous dimensional procedure we suggest one whose corresponding kingdom area is endless dimensional. specifically, we're drawn to the case the place the kingdom equation is likely one of the following varieties: partial differential equation, sensible differential equation, integro-differential equation, or summary evolution equation. The case within which the kingdom equation is being a stochastic differential equation is usually an unlimited dimensional challenge, yet we won't speak about the sort of case during this book.

Show description

Read Online or Download Optimal Control Theory for Infinite Dimensional Systems (Systems & Control: Foundations & Applications) PDF

Similar system theory books

Control of Turbulent and Magnetohydrodynamic Channel Flows: Boundary Stabilization and State Estimation (Systems & Control: Foundations & Applications)

This monograph offers new positive layout equipment for boundary stabilization and boundary estimation for numerous periods of benchmark difficulties in stream keep an eye on, with strength purposes to turbulence keep an eye on, climate forecasting, and plasma keep an eye on. the foundation of the method utilized in the paintings is the lately built non-stop backstepping approach for parabolic partial differential equations, increasing the applicability of boundary controllers for move platforms from low Reynolds numbers to excessive Reynolds quantity stipulations.

New Prospects in Direct, Inverse and Control Problems for Evolution Equations (Springer INdAM Series)

This publication, in accordance with a variety of talks given at a committed assembly in Cortona, Italy, in June 2013, indicates the excessive measure of interplay among a few fields relating to technologies. technologies reflect on occasions during which the evolution of a given approach through the years is saw, and the comparable types may be formulated by way of evolution equations (EEs).

A Guide to Temporal Networks (Series on Complexity Science)

Community technological know-how bargains a strong language to symbolize and research complicated platforms composed of interacting components — from the net to social and organic platforms. In its general formula, this framework depends upon the belief that the underlying topology is static, or altering very slowly compared to dynamical strategies occurring on it, e.

Automated Transit: Planning, Operation, and Applications (IEEE Press Series on Systems Science and Engineering)

A accomplished dialogue of automatic transit This ebook analyzes the profitable implementations of automatic transit in a variety of countries, akin to Paris, Toronto, London, and Kuala Lumpur, and investigates the plain loss of automatic transit purposes within the city setting within the usa.

Extra resources for Optimal Control Theory for Infinite Dimensional Systems (Systems & Control: Foundations & Applications)

Example text

Download PDF sample

Rated 4.28 of 5 – based on 12 votes