Dynamical Systems: Stability, Controllability and Chaotic Behavior
- ISBN-10
- 3642137237
- ISBN-13
- 9783642137235
- Series
- Dynamical Systems
- Category
- Mathematics
- Pages
- 238
- Language
- English
- Published
- 2010-11-04
- Publisher
- Springer
- Author
- Werner Krabs
Description
At the end of the nineteenth century Lyapunov and Poincaré developed the so called qualitative theory of differential equations and introduced geometric- topological considerations which have led to the concept of dynamical systems. In its present abstract form this concept goes back to G.D. Birkhoff. This is also the starting point of Chapter 1 of this book in which uncontrolled and controlled time-continuous and time-discrete systems are investigated. Controlled dynamical systems could be considered as dynamical systems in the strong sense, if the controls were incorporated into the state space. We, however, adapt the conventional treatment of controlled systems as in control theory. We are mainly interested in the question of controllability of dynamical systems into equilibrium states. In the non-autonomous time-discrete case we also consider the problem of stabilization. We conclude with chaotic behavior of autonomous time discrete systems and actual real-world applications.
Get the book
Other editions
-
- 2011-06-01
- 336 pages
- Paperback
- Springer
-
- 2017-11-22
- 344 pages
- Ebook
- Routledge
Similar books
-
Integral Geometry and Tomography: Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference, Held June 24-30, 1989, with Support from the...
By Eric Grinberg, Eric Todd QuintoIn Section 2 we will deal with the “discrete” case. Let S be a locally finite tree T endowed with the natural integer-valued distance function: the ...
-
Ordinary Differential Equations and Linear Algebra: A Systems Approach
By Todd Kapitula... for in this case [yp](s)=s[yp](s), [yp](s)=s2[yp](s). As we will see in the examples, this assumption also makes it possible to deal with the initial ...
-
Cognition and Intractability: A Guide to Classical and Parameterized Complexity Analysis
By Iris van Rooij, Mark Blokpoel, Johan Kwisthoutx,y∈S δ(x,y) is maximum. u(x) + ADDITIVE SUBSET CHOICE Input: A set X = {x1 ,x2 ... F Tractability cycle Test 8.2 How (Not) to Deal with Intractability 173.
-
Mymathlab -- Standalone Access Card
By Pearson Education, David P Pearson Education, Hall H Pearson EducationSeveral versions of Pearson's MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable.
-
Mymathlab Student Acc Kit + Intro Alg Wrkshts
By Inc. Pearson EducationMymathlab Student Acc Kit + Intro Alg Wrkshts
-
Pearson Mathematics 7: H.P
By Pearson Education Australia StaffPearson Mathematics homework program for Year 7 provides tear-out sheets which correspond with student book sections, providing systematic and cumulative skills revision of basic skills and current class topics in the form of take-home ...
-
Worksheets for Classroom Or Lab Practice for Intermediate Algebra: Graphs & Models
By Addison-WesleyWorksheets for Classroom Or Lab Practice for Intermediate Algebra: Graphs & Models
-
Pearson Mathematics New South Wales 8 Student Book: Australian Curriculum
By Pearson Education Australia Staff, Gael McLeod, David CoffeyThe Student Book provides an easy-to-use 'nuts and bolts' book at each year level.
-
Matrix Iterative Analysis
By Richard S. Varga... partial differential equations have received a great deal of attention. For excellent bibliographical coverage, see Todd (1956), Richtmyer (1957), ...
-
Mathematical Modelling: Education, Engineering and Economics - ICTMA 12
By C Haines, P Galbraith, W BlumTodd, P. A., McKeen, .l. ... ANALYTICAL SUPPORT PROBLEM SOLVING Cognitive Perspectives on Modelling HOW DO STUDENTS AND TEACHERS DEAL Sodhi and Son 219 NOTE ...