How Long to Read Stochastic Averaging and Stochastic Extremum Seeking

How Long Does it Take to Read Stochastic Averaging and Stochastic Extremum Seeking?

It takes the average reader 3 hours and 47 minutes to read Stochastic Averaging and Stochastic Extremum Seeking by Shu-Jun Liu

Assuming a reading speed of 250 words per minute. Learn more

Description

Stochastic Averaging and Extremum Seeking treats methods inspired by attempts to understand the seemingly non-mathematical question of bacterial chemotaxis and their application in other environments. The text presents significant generalizations on existing stochastic averaging theory developed from scratch and necessitated by the need to avoid violation of previous theoretical assumptions by algorithms which are otherwise effective in treating these systems. Coverage is given to four main topics. Stochastic averaging theorems are developed for the analysis of continuous-time nonlinear systems with random forcing, removing prior restrictions on nonlinearity growth and on the finiteness of the time interval. The new stochastic averaging theorems are usable not only as approximation tools but also for providing stability guarantees. Stochastic extremum-seeking algorithms are introduced for optimization of systems without available models. Both gradient- and Newton-based algorithms are presented, offering the user the choice between the simplicity of implementation (gradient) and the ability to achieve a known, arbitrary convergence rate (Newton). The design of algorithms for non-cooperative/adversarial games is described. The analysis of their convergence to Nash equilibria is provided. The algorithms are illustrated on models of economic competition and on problems of the deployment of teams of robotic vehicles. Bacterial locomotion, such as chemotaxis in E. coli, is explored with the aim of identifying two simple feedback laws for climbing nutrient gradients. Stochastic extremum seeking is shown to be a biologically-plausible interpretation for chemotaxis. For the same chemotaxis-inspired stochastic feedback laws, the book also provides a detailed analysis of convergence for models of nonholonomic robotic vehicles operating in GPS-denied environments. The book contains block diagrams and several simulation examples, including examples arising from bacterial locomotion, multi-agent robotic systems, and economic market models. Stochastic Averaging and Extremum Seeking will be informative for control engineers from backgrounds in electrical, mechanical, chemical and aerospace engineering and to applied mathematicians. Economics researchers, biologists, biophysicists and roboticists will find the applications examples instructive.

How long is Stochastic Averaging and Stochastic Extremum Seeking?

Stochastic Averaging and Stochastic Extremum Seeking by Shu-Jun Liu is 224 pages long, and a total of 56,896 words.

This makes it 76% the length of the average book. It also has 70% more words than the average book.

How Long Does it Take to Read Stochastic Averaging and Stochastic Extremum Seeking Aloud?

The average oral reading speed is 183 words per minute. This means it takes 5 hours and 10 minutes to read Stochastic Averaging and Stochastic Extremum Seeking aloud.

What Reading Level is Stochastic Averaging and Stochastic Extremum Seeking?

Stochastic Averaging and Stochastic Extremum Seeking is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Stochastic Averaging and Stochastic Extremum Seeking?

Stochastic Averaging and Stochastic Extremum Seeking by Shu-Jun Liu is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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