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Stability and Control: Theory, Methods and Applications


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Dynamical Systems and Control

Dynamical Systems and Control

Firdaus E. Udwadia, H.I. Weber, George Leitmann
May 10, 2004

The 11th International Workshop on Dynamics and Control brought together scientists and engineers from diverse fields and gave them a venue to develop a greater understanding of this discipline and how it relates to many areas in science, engineering, economics, and biology. The event gave...

Optimal Control of the Growth of Wealth of Nations

Optimal Control of the Growth of Wealth of Nations

E.N. Chukwu
January 23, 2003

Students and researchers in applied mathematics and applied economics can use this introductory-level graduate text. It looks at the current problems of the development of the global economy by studying the dynamics of key economic variables, such as gross national product, interest rates,...

Lyapunov Functions in Differential Games

Lyapunov Functions in Differential Games

Vladislav I Zhukovskiy
January 16, 2003

A major step in differential games is determining an explicit form of the strategies of players who follow a certain optimality principle. To do this, the associated modification of Bellman dynamic programming problems has to be solved; for some differential games this could be Lyapunov functions...

Dichotomies and Stability in Nonautonomous Linear Systems

Dichotomies and Stability in Nonautonomous Linear Systems

Yu. A. Mitropolsky, A.M. Samoilenko, V.L. Kulik
October 10, 2002

Linear nonautonomous equations arise as mathematical models in mechanics, chemistry, and biology. The investigation of bounded solutions to systems of differential equations involves some important and challenging problems of perturbation theory for invariant toroidal manifolds. This monograph is a...

Advances in Stability Theory at the End of the 20th Century

Advances in Stability Theory at the End of the 20th Century

A.A. Martynyuk
October 03, 2002

This volume presents surveys and research papers on various aspects of modern stability theory, including discussions on modern applications of the theory, all contributed by experts in the field. The volume consists of four sections that explore the following directions in the development of...

Stability of Differential Equations with Aftereffect

Stability of Differential Equations with Aftereffect

N.V. Azbelev, P.M. Simonov
October 03, 2002

Stability of Differential Equations with Aftereffect presents stability theory for differential equations concentrating on functional differential equations with delay, integro-differential equations, and related topics. The authors provide background material on the modern theory of functional...

Functional Equations with Causal Operators

Functional Equations with Causal Operators

C. Corduneanu
September 05, 2002

Functional equations encompass most of the equations used in applied science and engineering: ordinary differential equations, integral equations of the Volterra type, equations with delayed argument, and integro-differential equations of the Volterra type. The basic theory of functional equations...

Stability and Stabilization of Nonlinear Systems with Random Structures

Stability and Stabilization of Nonlinear Systems with Random Structures

I. Ya Kats, A.A. Martynyuk
August 22, 2002

Nonlinear systems with random structures arise quite frequently as mathematical models in diverse disciplines. This monograph presents a systematic treatment of stability theory and the theory of stabilization of nonlinear systems with random structure in terms of new developments in the direct...

Almost Periodic Solutions of Differential Equations in Banach Spaces

Almost Periodic Solutions of Differential Equations in Banach Spaces

Yoshiyuki Hino, Toshiki Naito, Nguyen VanMinh, Jong Son Shin
October 25, 2001

This monograph presents recent developments in spectral conditions for the existence of periodic and almost periodic solutions of inhomogenous equations in Banach Spaces. Many of the results represent significant advances in this area. In particular, the authors systematically present a new...

Stabilization of Programmed Motion

Stabilization of Programmed Motion

E Ya Smirnov
September 20, 2000

This volume presents a particular aspect of control theory-stabilization of programmed motion. Methods of the construction and synthesis of stabilizing controls are introduced together with original results and useful examples. The problem of optimal stabilization control synthesis is solved for...

Volterra Equations and Applications

Volterra Equations and Applications

C. Corduneanu, I Sandberg
January 10, 2000

This volume comprises selected papers presented at the Volterra Centennial Symposium and is dedicated to Volterra and the contribution of his work to the study of systems - an important concept in modern engineering. Vito Volterra began his study of integral equations at the end of the nineteenth...

Nonlinear Problems in Aviation and Aerospace

Nonlinear Problems in Aviation and Aerospace

S. Sivasundaram
January 10, 2000

The study of nonlinear phenomena in aviation and aerospace includes developments in computer technology and the use of nonlinear mathematical models. Nonlinearities are a feature of aircraft dynamics and flight control systems and need to respond to achieve stability and performance. This...

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