Qualitative And Quantitative Analysis Of Nonlinear Systems
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Author | : Michael Z. Zgurovsky |
Publisher | : Springer |
Total Pages | : 265 |
Release | : 2017-07-11 |
Genre | : Technology & Engineering |
ISBN | : 3319598406 |
Here, the authors present modern methods of analysis for nonlinear systems which may occur in fields such as physics, chemistry, biology, or economics. They concentrate on the following topics, specific for such systems: (a) constructive existence results and regularity theorems for all weak solutions; (b) convergence results for solutions and their approximations; (c) uniform global behavior of solutions in time; and (d) pointwise behavior of solutions for autonomous problems with possible gaps by the phase variables. The general methodology for the investigation of dissipative dynamical systems with several applications including nonlinear parabolic equations of divergent form, nonlinear stochastic equations of parabolic type, unilateral problems, nonlinear PDEs on Riemannian manifolds with or without boundary, contact problems as well as particular examples is established. As such, the book is addressed to a wide circle of mathematical, mechanical and engineering readers.
Author | : A.A. Martynyuk |
Publisher | : CRC Press |
Total Pages | : 320 |
Release | : 2001-11-05 |
Genre | : Mathematics |
ISBN | : 1482294745 |
"Presents new approaches to qualitative analysis of continuous, discreteptime, and impulsive nonlinear systems via Liapunov matrix-valued functions that introduce more effective tests for solving problems of estimating the domains of asymptotic stability."
Author | : D. Assimacopoulos |
Publisher | : |
Total Pages | : |
Release | : 1979 |
Genre | : |
ISBN | : |
Author | : B. R. Haynes |
Publisher | : |
Total Pages | : |
Release | : 1990 |
Genre | : Automatic control |
ISBN | : |
Author | : Takaaki Nishida |
Publisher | : North Holland |
Total Pages | : 716 |
Release | : 1986 |
Genre | : Differential equations, Nonlinear |
ISBN | : |
Part I of this volume surveys the developments in the analysis of nonlinear phenomena in Japan during the past decade, while Part II consists of up-to-date original papers concerning qualitative theories and their applications. Dealt with here are nonlinear problems related to general analysis, fluid dynamics, mathematical biology and computer sciences, and their underlying mathematical structures, e.g. nonlinear waves and propagations, bifurcation phenomena, chaotic phenomena, and fractals. The volume is dedicated to Professor Masaya Yamaguti in celebration of his 60th birthday.
Author | : Barry Robert Haynes |
Publisher | : |
Total Pages | : |
Release | : 1989 |
Genre | : |
ISBN | : |
Author | : Ufuk Topcu |
Publisher | : |
Total Pages | : 316 |
Release | : 2008 |
Genre | : |
ISBN | : |
Author | : A.J. Fossard |
Publisher | : Springer Science & Business Media |
Total Pages | : 227 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 1461520479 |
Nonlinear Systems is divided into three volumes. The first deals with modeling and estimation, the second with stability and stabilization and the third with control. This three-volume set provides the most comprehensive and detailed reference available on nonlinear systems. Written by a group of leading experts in the field, drawn from industry, government and academic institutions, it provides a solid theoretical basis on nonlinear control methods as well as practical examples and advice for engineers, teachers and researchers working with nonlinear systems. Each book focuses on the applicability of the concepts introduced and keeps the level of mathematics to a minimum. Simulations and industrial examples drawn from aerospace as well as mechanical, electrical and chemical engineering are given throughout.
Author | : Thomas L. Vincent |
Publisher | : John Wiley & Sons |
Total Pages | : 584 |
Release | : 1997-06-23 |
Genre | : Science |
ISBN | : 9780471042358 |
Designed for one-semester introductory senior-or graduate-level course, the authors provide the student with an introduction of analysis techniques used in the design of nonlinear and optimal feedback control systems. There is special emphasis on the fundamental topics of stability, controllability, and optimality, and on the corresponding geometry associated with these topics. Each chapter contains several examples and a variety of exercises.
Author | : V. Lakshmikantham |
Publisher | : CRC Press |
Total Pages | : 344 |
Release | : 1988-11-29 |
Genre | : Mathematics |
ISBN | : 9780824780678 |
Investigates stability theory in terms of two different measures, treats the theory of a variety of inequalities, and demonstrates manifestations of the general Lyapunov method. Also covers the importance of utilizing different forms of nonlinear variation of parametric formulae, constructive method