Invariance Entropy for Deterministic Control Systems is popular PDF and ePub book, written by Christoph Kawan in 2013-10-02, 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, Invariance Entropy for Deterministic Control Systems can be Read Online from any device for your convenience.
Invariance Entropy for Deterministic Control Systems Book PDF Summary
This monograph provides an introduction to the concept of invariance entropy, the central motivation of which lies in the need to deal with communication constraints in networked control systems. For the simplest possible network topology, consisting of one controller and one dynamical system connected by a digital channel, invariance entropy provides a measure for the smallest data rate above which it is possible to render a given subset of the state space invariant by means of a symbolic coder-controller pair. This concept is essentially equivalent to the notion of topological feedback entropy introduced by Nair, Evans, Mareels and Moran (Topological feedback entropy and nonlinear stabilization. IEEE Trans. Automat. Control 49 (2004), 1585–1597). The book presents the foundations of a theory which aims at finding expressions for invariance entropy in terms of dynamical quantities such as Lyapunov exponents. While both discrete-time and continuous-time systems are treated, the emphasis lies on systems given by differential equations.
Detail Book of Invariance Entropy for Deterministic Control Systems PDF
- Author : Christoph Kawan
- Release : 02 October 2013
- Publisher : Springer
- ISBN : 9783319012889
- Genre : Mathematics
- Total Page : 290 pages
- Language : English
- PDF File Size : 13,8 Mb
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