Mathematical Problems in Engineering Aerospace and Sciences

Edited by S. Sivasundaram. Embry Riddle Aeronautical University, Daytona USA

This international book series publishes monographs, textbooks and multi-author volumes including conference proceedings in the rapidly growing areas of engineering and aerospace sciences. The series highlights the multidisciplinary use and application of mathematical models in solving scientific, engineering and technological problems. The subjects covered include: advances in nonlinear dynamics, flight control, modelling and optimization, orbital dynamics, modelling and simulation, aero dynamics, stability and control, nonlinear mechanical systems, hybrid systems, nonlinear continuous and discrete dynamical systems, computational structures, fuzzy and intelligent control, structural control, unsteady flight control and other areas of mathematics, engineering and aerospace sciences.

VOLUME 1

REGIONS OF ATTRACTION AND APPLICATIONS TO CONTROL THEORY

2008 216pp Hbk

S. Balint, L. Braescu and E. KaslikFaculty of Mathematics and Computer Science, West University of Timisoara, Romania

Regions of attraction are important not only for mathematics but also for the control of dynamics in mechanics, thermodynamics, electronics, chemistry and biology. Real systems in general are built so that for a given external input (control) they exhibit one (or several) equilibrium states. The transfer from a steady state to another steady state is made by changing the values of the control parameters (inputs). It is known in engineering applications that large transfers may not be possible by a single change but if the change is made in small steps the transfer can be successful. The mathematical explanation is that by small successive changes the system is conducted through the regions of attraction of asymptotically stable steady states to the desired steady state.

This volume aims to present effective methods of estimation of the regions of attraction of asymptotically stable steady states in the case of autonomous analytical differential equations and also of discrete semi-dynamical systems. It also shows how these regions can be used, e.g. in the control of the shape of a single crystal during growth; in the control of the flight of a space shuttle and in the control of a Hopfield type neural network.

978-1-904868-59-0

VOLUME 2

ADVANCES IN MATHEMATICAL PROBLEMS IN ENGINEERING AEROSPACE AND SCIENCES

2008 330pp Hbk

S. Sivasundaram

Embry Riddle Aeronautical University, Daytona Beach, Florida USA

This multiauthor volume presents new trends and research directions in the rapidly growing field of aviation and aerospace, engineering and sciences. It encompasses a wide range of topics and chapters include:

- Deployment and control of spacecraft formation via Lyapunov functions

- Spiral curvilinear orthogonal coordinates in the context of astrodynamics

- Design of robust aircraft flight control system under mixed model uncertainty

- Linear and nonlinear analysis for optimal pursuit in space

- Space robotic manipulator contact control

- An analytical description of the three dimensional swing-by

- Predictor-tunnel display for precision flight path control

- Orbital transfers maneuvers propulsed by low thrust

978-1-904868-63-7

VOLUME 3

ADVANCES IN NONLINEAR ANALYSIS: THEORY, METHODS AND APPLICATIONS

Edited by: S. Sivasundaram, J. Vasundhara Devi, Zahia Drici, Farzana Mcrae

2009 350pp Hbk

This multiauthor felicitation volume in honor of Professor V. Lakshmikantham, Florida Institute of Technology, USA reviews his publications, achievements and outstanding contribution to mathematics. Advances in Nonlinear Analysis: Theory Methods and Applications explores many new ideas, results and research directions and will provide a useful source of reference for post graduate students and researchers

978-1-904868-68-2

VOLUME 4

ADVANCES IN DYNAMICS AND CONTROL: THEORY METHODS AND APPLICATIONS

2009 350pp Hbk

Edited by: S. Sivasundaram,J. Vasundhara Devi, F. E. Udwadia,I. Lasiecka

This multiauthor volume in honor of Professor A. V. Balakrishnan reviews his outstanding contribution to engineering and applied mathematics and explores many new ideas, results and research directions in the rapidly growing field of dynamics and control. This volume will provide a useful source of reference for post graduate students and researchers.

978-1-904868-69-9