One of the basic tenets of science is that deterministic systems are completely predictable-given the initial condition and the equations describing a system, the behavior of the system can be predicted 1 for all time.
The common experience in solving control problems shows that optimal control as a function of time proves to be piecewise analytic, having a finite number of jumps (called switches) on any finite-time interval.
Inverse problems and optimal design have come of age as a consequence of the availability of better, more accurate, and more efficient simulation packages.
This IMA Volume in Mathematics and its Applications LARGE-SCALE OPTIMIZATION WITH APPLICATIONS, PART II: OPTIMAL DESIGN AND CONTROL is one of the three volumes based on the proceedings of the 1995 IMA three- week Summer Program on "e;Large-Scale Optimization with Applications to Inverse Problems, Optimal Control and Design, and Molecular and Struc- tural Optimization.
This book is based on the papers presented at the International Conference 'Quality Improvement through Statistical Methods' in Cochin, India during December 28-31, 1996.
This self-contained volume surveys three decades of mathematical control theory and at the same time describes how the work of Roger Brockett shaped and influenced its development.
A linear optimization problem is the task of minimizing a linear real-valued function of finitely many variables subject to linear con- straints; in general there may be infinitely many constraints.
Although the calculus of variations has ancient origins in questions of Ar- istotle and Zenodoros, its mathematical principles first emerged in the post- calculus investigations of Newton, the Bernoullis, Euler, and Lagrange.
This book deals with optimality conditions, algorithms, and discretization tech- niques for nonlinear programming, semi-infinite optimization, and optimal con- trol problems.
Motivation The latest texts on linear systems for engineering students have begun incorpo- rating chapters on robust control using the state space approach to HOC control for linear finite dimensional time-invariant systems.
Mathematics is playing an ever more important role in the physical and biologi- cal sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics.
In wntmg this monograph my aim has been to present a "e;geometric"e; approach to the structural synthesis of multivariable control systems that are linear, time-invariant and of finite dynamic order.
This book is the result of our teaching over the years an undergraduate course on Linear Optimal Systems to applied mathematicians and a first-year graduate course on Linear Systems to engineers.
A theory is the more impressive, the simpler are its premises, the more distinct are the things it connects, and the broader is its range of applicability.
A theory is the more impressive, the simpler are its premises, the more distinct are the things it connects, and the broader is its range of applicability.
The book is based on my lecture notes "e;Infinite dimensional Morse theory and its applications"e;, 1985, Montreal, and one semester of graduate lectures delivered at the University of Wisconsin, Madison, 1987.
Game theory is a rich and active area of research of which this new volume of the Annals of the International Society of Dynamic Games is yet fresh evidence.
Sensitivity analysis and optimal shape design are key issues in engineering that have been affected by advances in numerical tools currently available.
This proceedings book contains selected papers from the Fifth International Workshop on Best-Worst Method (BWM2024), held in Delft, the Netherlands, from 13 to 14 June 2024.
Introduction to Python: with Applications in Optimization, Image and Video Processing, and Machine Learning is intended primarily for advanced undergraduate and graduate students in quantitative sciences such as mathematics, computer science, and engineering.
Nonlinear Industrial Control Systems presents a range of mostly optimisation-based methods for severely nonlinear systems; it discusses feedforward and feedback control and tracking control systems design.
Nonlinear Industrial Control Systems presents a range of mostly optimisation-based methods for severely nonlinear systems; it discusses feedforward and feedback control and tracking control systems design.
The objective of this book is to provide a valuable compendium of problems as a reference for undergraduate and graduate students, faculty, researchers and practitioners of operations research and management science.
The Encyclopedia of Systems and Control collects a broad range of short expository articles that describe the current state of the art in the central topics of control and systems engineering as well as in many of the related fields in which control is an enabling technology.
Graph theory is a very popular area of discrete mathematics with not only numerous theoretical developments, but also countless applications to prac- tical problems.
This proceedings book presents selected contributions from the XVIII Congress of APDIO (the Portuguese Association of Operational Research) held in Valenca on June 28-30, 2017.