© 2009

Modelling Dynamics in Processes and Systems

  • Wojciech Mitkowski
  • Janusz Kacprzyk

Part of the Studies in Computational Intelligence book series (SCI, volume 180)

Table of contents

  1. Front Matter
  2. Basic Tools and Techniques for the Modelling of Dynamics

    1. Ryszard Porada, Norbert Mielczarek
      Pages 1-20
    2. Vsevolod Vladimirov, Jacek Wróbel
      Pages 21-27
  3. Modelling Dynamics in Control and Robotics

  4. Modelling Dynamics in Biological Processes

    1. Christian Merkwirth, Jörg Wichard, Maciej J. Ogorzałek
      Pages 119-135
  5. New Application Areas

    1. Maciej Hrebień, Józef Korbicz
      Pages 137-152
    2. L. Rauch, J. Kusiak
      Pages 153-163
    3. Marek Danielewski, Bartłomiej Wierzba, Maciej Pietrzyk
      Pages 179-188
  6. Back Matter

About this book


Dynamics is what characterizes virtually all phenomenae we face in the real world, and processes that proceed in practically all kinds of inanimate and animate systems, notably social systems. For our purposes dynamics is viewed as time evolution of some characteristic features of the phenomenae or processes under consideration. It is obvious that in virtually all non-trivial problems dynamics can not be neglected, and should be taken into account in the analyses to, first, get insight into the problem consider, and second, to be able to obtain meaningful results.

A convenient tool to deal with dynamics and its related evolution over time is to use the concept of a dynamic system which, for the purposes of this volume can be characterized by the input (control), state and output spaces, and a state transition equation. Then, starting from an initial state, we can find a sequence of consecutive states (outputs) under consecutive inputs (controls). That is, we obtain a trajectory. The state transition equation may be given in various forms, exemplified by differential and difference equations, linear or nonlinear, deterministic or stochastic, or even fuzzy (imprecisely specified), fully or partially known, etc. These features can give rise to various problems the analysts may encounter like numerical difficulties, instability, strange forms of behavior (e.g. chaotic), etc.

This volume is concerned with some modern tools and techniques which can be useful for the modeling of dynamics. We focus our attention on two important areas which play a key role nowadays, namely automation and robotics, and biological systems. We also add some new applications which can greatly benefit from the availability of effective and efficient tools for modeling dynamics, exemplified by some applications in security systems.


Adaptive control Cyc Ensembl Racter artificial intelligence dynamical systems evolution modeling robot robotics simulation

Editors and affiliations

  • Wojciech Mitkowski
    • 1
  • Janusz Kacprzyk
    • 2
  1. 1.Faculty of Electrical Engineering, Automatics Computer Science and ElectronicsAGH University of Science and TechnologyKrakowPoland
  2. 2.Systems Research InstitutePolish Academy of SciencesWarsawPoland

Bibliographic information