Modelling Dynamics in Processes and Systems [electronic resource] /
Mitkowski, Wojciech.editor.
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.
Bibliographic Level Mode of Issuance: Monograph
Includes bibliographical references and index.
Basic Tools and Techniques for the Modelling of Dynamics -- Modeling of Chaotic Systems in the ChaoPhS Program -- Model of a Tribological Sensor Contacting Rotating Disc -- The Bifurcations and Chaotic Oscillations in Electric Circuits with Arc -- Modelling Dynamics in Control and Robotics -- Soft Computing Models for Intelligent Control of Non-linear Dynamical Systems -- Model Reference Adaptive Control of Underwater Robot in Spatial Motion -- Feedback Stabilization of Distributed Parameter Gyroscopic Systems -- Stabilization Results of Second-Order Systems with Delayed Positive Feedback -- Modelling Dynamics in Biological Processes -- A Comparison of Modeling Approaches for the Spread of Prion Diseases in the Brain -- Ensemble Modeling for Bio-medical Applications -- New Application Areas -- Automatic Fingerprint Identification Based on Minutiae Points -- Image Filtering Using the Dynamic Particles Method -- The Simulation of Cyclic Thermal Swing Adsorption (TSA) Process -- The Stress Field Induced Diffusion.
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.
Computer mathematics.
Mathematical models.
Computer science-Mathematics.
Applied mathematics.
Engineering mathematics.
Artificial intelligence.
Control engineering.
Robotics.
Mechatronics.
Computational Mathematics and Numerical Analysis.
Mathematical Modeling and Industrial Mathematics.
Mathematics of Computing.
Mathematical and Computational Engineering.
Artificial Intelligence.
Control, Robotics, Mechatronics.
Studies in Computational Intelligence