Nonlinear System Theory

Nonlinear System Theory
Author: Casti
Publisher: Academic Press
Total Pages: 275
Release: 1985-02-21
Genre: Computers
ISBN: 0080958656

Nonlinear System Theory

Asymptotic Characteristics of Entire Functions and Their Applications in Mathematics and Biophysics

Asymptotic Characteristics of Entire Functions and Their Applications in Mathematics and Biophysics
Author: L.S. Maergoiz
Publisher: Springer Science & Business Media
Total Pages: 382
Release: 2013-04-17
Genre: Mathematics
ISBN: 940170807X

This revised and enlarged second edition is devoted to asymptotical questions of the theory of entire and plurisubharmonic functions. A separate chapter deals with applications in biophysics. The book is of interest to research specialists in theoretical and applied mathematics, postgraduates and students who are interested in complex and real analysis and its applications.

Mathematical Problems of the Dynamics of Incompressible Fluid on a Rotating Sphere

Mathematical Problems of the Dynamics of Incompressible Fluid on a Rotating Sphere
Author: Yuri N. Skiba
Publisher: Springer
Total Pages: 246
Release: 2017-09-21
Genre: Mathematics
ISBN: 3319654128

This book presents selected mathematical problems involving the dynamics of a two-dimensional viscous and ideal incompressible fluid on a rotating sphere. In this case, the fluid motion is completely governed by the barotropic vorticity equation (BVE), and the viscosity term in the vorticity equation is taken in its general form, which contains the derivative of real degree of the spherical Laplace operator. This work builds a bridge between basic concepts and concrete outcomes by pursuing a rich combination of theoretical, analytical and numerical approaches, and is recommended for specialists developing mathematical methods for application to problems in physics, hydrodynamics, meteorology and geophysics, as well for upper undergraduate or graduate students in the areas of dynamics of incompressible fluid on a rotating sphere, theory of functions on a sphere, and flow stability.

Learning-Based Adaptive Control

Learning-Based Adaptive Control
Author: Mouhacine Benosman
Publisher: Butterworth-Heinemann
Total Pages: 284
Release: 2016-08-02
Genre: Technology & Engineering
ISBN: 0128031514

Adaptive control has been one of the main problems studied in control theory. The subject is well understood, yet it has a very active research frontier. This book focuses on a specific subclass of adaptive control, namely, learning-based adaptive control. As systems evolve during time or are exposed to unstructured environments, it is expected that some of their characteristics may change. This book offers a new perspective about how to deal with these variations. By merging together Model-Free and Model-Based learning algorithms, the author demonstrates, using a number of mechatronic examples, how the learning process can be shortened and optimal control performance can be reached and maintained. - Includes a good number of Mechatronics Examples of the techniques. - Compares and blends Model-free and Model-based learning algorithms. - Covers fundamental concepts, state-of-the-art research, necessary tools for modeling, and control.

Advanced Mathematical Tools for Control Engineers: Volume 1

Advanced Mathematical Tools for Control Engineers: Volume 1
Author: Alexander S. Poznyak
Publisher: Elsevier
Total Pages: 803
Release: 2010-07-07
Genre: Mathematics
ISBN: 0080556108

Advanced Mathematical Tools for Control Engineers: Volume 1 provides a blend of Matrix and Linear Algebra Theory, Analysis, Differential Equations, Optimization, Optimal and Robust Control. It contains an advanced mathematical tool which serves as a fundamental basis for both instructors and students who study or actively work in Modern Automatic Control or in its applications. It is includes proofs of all theorems and contains many examples with solutions. It is written for researchers, engineers, and advanced students who wish to increase their familiarity with different topics of modern and classical mathematics related to System and Automatic Control Theories. - Provides comprehensive theory of matrices, real, complex and functional analysis - Provides practical examples of modern optimization methods that can be effectively used in variety of real-world applications - Contains worked proofs of all theorems and propositions presented