Open access peer-reviewed Edited Volume

Differential Equations

Dusan Stipanovic

University of Illinois at Urbana Champaign

Dr. Dusan Stipanovic's expertise is in stability and control of differential equations, differential games, and he is a recipient of the 2017 Friedrich Wilhelm Bessel Research Award in the area of mathematics (control theory and calculus of variations). He is a visiting professor in various universities in Serbia (Belgrade and Novi Sad), China, Germany, and the USA (University of California at Berkeley). Currently, he is an Associate Editor for the Journal of Optimization Theory and Applications.

Covering

Pursuit Evasion Games Nash Equilibria Multi-Agent Systems Stability Theory Infinite Dimensional Systems Differential Games Stochastic Processes Probability Theory Ito Integrals Properties Stability Control

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About the book

The scope of this book encompasses theory and applications of differential equations of various types. Differential equations are extremely important, especially nowadays since they are known as a fundamental way of modeling dynamical systems and, thus, their properties such as stability, instability, periodic and chaotic behaviors which are extremely important when studying dynamical systems. The applications have been growing in numbers and include autonomous vehicles (with examples being driverless cars and satellites), robotics, medical surgery, precision agriculture, and smart buildings, to name a few. The complexity and techniques of analyzing behaviors of differential equations depend on whether they are ordinary, linear or nonlinear, infinite-dimensional or stochastic, etc. Another important topic is how to control differential equations to achieve particular properties that they do not possess without any control action. The control designs heavily depend on the type of differential equations as well as different constraints imposed on the control variables as well as on the information available to the controllers.

Publishing process

Book initiated and editor appointed

Date completed: November 12th 2021

Applications to edit the book are assessed and a suitable editor is selected, at which point the process begins.

Chapter proposals submitted and reviewed

Deadline for chapter proposals: December 10th 2021

Potential authors submit chapter proposals ready for review by the academic editor and our publishing review team.

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Approved chapters written in full and submitted

Deadline for full chapters: February 8th 2022

Once approved by the academic editor and publishing review team, chapters are written and submitted according to pre-agreed parameters

Full chapters peer reviewed

Review results due: April 29th 2022

Full chapter manuscripts are screened for plagiarism and undergo a Main Editor Peer Review. Results are sent to authors within 30 days of submission, with suggestions for rounds of revisions.

Book compiled, published and promoted

Expected publication date: June 28th 2022

All chapters are copy-checked and typesetted before being published. IntechOpen regularly submits its books to major databases for evaluation and coverage, including the Clarivate Analytics Book Citation Index in the Web of ScienceTM Core Collection. Other discipline-specific databases are also targeted, such as Web of Science's BIOSIS Previews.

About the editor

Dusan Stipanovic

University of Illinois at Urbana Champaign

Professor Dusan Stipanovic received his B.S. degree in electrical engineering from the University of Belgrade, Belgrade, Serbia in 1994, and the M.S.E.E. and Ph.D. degrees in electrical engineering from Santa Clara University, Santa Clara, California in 1996 and 2000, respectively. Dr. Stipanovic had been an Adjunct Lecturer and Research Associate with the Department of Electrical Engineering at Santa Clara University (1998-2001), and a Research Associate in Professor Claire Tomlin’s Hybrid Systems Laboratory of the Department of Aeronautics and Astronautics at Stanford University (2001-2004). In 2004, he joined the University of Illinois at Urbana-Champaign where he is now Professor in the Controls Group of the Coordinated Science Laboratory and Department of Industrial and Enterprise Systems Engineering. He is a visiting Professor in the School of Electrical Engineering of the University of Belgrade in Serbia, School of Computer Science and Technology or the University of Science and Technology in Hefei, China, Technical School of the University of Novi Sad in Serbia, and in the Robotics and Telematics Department at the University of Würzburg in Germany. He also held visiting faculty positions in the EECS Department at the University of California at Berkeley. His research interests include decentralized control and estimation, stability theory, optimal control, and dynamic games with applications in control of autonomous vehicles, precision agriculture, circuits, and medical robotics. Dr. Stipanovic served as an Associate Editor on the Editorial Boards of the IEEE Transactions on Circuits and Systems I and II. Currently he is an Associate Editor for the Journal of Optimization Theory and Applications.

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