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Mixed-Integer Representations in Control Design:Mathematical Foundations and …
In this book, the authors propose efficient characterizations of the non-convex regions that appear in many control problems, such as those involving collision/obstacle avoidance and, in a broader sense, in the description of feasible sets for optimization-based control design involving contradictory objectives. The text deals with a large class of systems that require the solution of appro…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-26993-1
- Collation
- XII
- Series Title
- SpringerBriefs in Electrical and Computer Engineering
- Call Number
- -
A Variational Approach to Lyapunov Type Inequalities: From ODEs to PDEs
This book highlights the current state of Lyapunov-type inequalities through a detailed analysis. Aimed toward researchers and students working in differential equations and those interested in the applications of stability theory and resonant systems, the book begins with an overview Lyapunov’s original results and moves forward to include prevalent results obtained in the past ten years. De…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-25289-6
- Collation
- XVIII, 120
- Series Title
- SpringerBriefs in Mathematics
- Call Number
- 515.4 CAN v
Generalized Adjoint Systems
Topics Calculus of Variations and Optimization,
- Edition
- -
- ISBN/ISSN
- 978-3-319-16651-3
- Collation
- -
- Series Title
- -
- Call Number
- 512
Stochastic Integration by Parts and Functional Itô Calculus
The notes of the course by Vlad Bally are co-authored with her collaborator Lucia Caramellino. They develop integration by parts formulas in an abstract setting, extending Malliavin’s work on abstract Wiener spaces, and thereby being applicable to prove absolute continuity for a broad class of random vectors. Properties like regularity of the density, estimates of the tails, and approximati…
- Edition
- -
- ISBN/ISSN
- 978-3-319-27128-6
- Collation
- -
- Series Title
- -
- Call Number
- -
Multiple Shooting and Time Domain Decomposition Methods:MuS-TDD, Heidelberg, …
This book offers a comprehensive collection of the most advanced numerical techniques for the efficient and effective solution of simulation and optimization problems governed by systems of time-dependent differential equations. The contributions present various approaches to time domain decomposition, focusing on multiple shooting and parareal algorithms. The range of topics covers theoreti…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-23320-8
- Collation
- X, 422
- Series Title
- Contributions in Mathematical and Computational Sciences
- Call Number
- -
Elliptic Regularity Theory A First Course
These lecture notes provide a self-contained introduction to regularity theory for elliptic equations and systems in divergence form. After a short review of some classical results on everywhere regularity for scalar-valued weak solutions, the presentation focuses on vector-valued weak solutions to a system of several coupled equations. In the vectorial case, weak solutions may have discontinui…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-27485-0
- Collation
- XII, 201
- Series Title
- -
- Call Number
- -
Mixed-Integer Representations in Control Design
Ionela PRODAN received the B.Eng. degree from the University “Politehnica” of Bucharest, Romania in 2009 and the PhD degree in Control Engineering from Supélec, Gif-sur-Yvette, France in 2012. She followed a postdoctoral fellowship within the Chair on Systems Science and the Energetic Challenge - EDF, École Centrale Paris and Supélec, France from 2013 to 2014. Her PhD thesis “Control o…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-26993-1
- Collation
- XII, 107
- Series Title
- SpringerBriefs in Electrical and Computer Engineering
- Call Number
- -
Methods of Mathematical Modelling
This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics. Chapters 1 to 4 cover essential topics in ordinary dif…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-23041-2
- Collation
- XVIII, 305
- Series Title
- Springer Undergraduate Mathematics Series
- Call Number
- -
Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach
Calculus thrives on continuity. At its core is the assumption that things change smoothly, that everything is only infinitesimally different from what it was a moment before. Like a movie, calculus reimagines reality as a series of snapshots, and then recombines them, instant by instant, frame by frame, the succession of imperceptible changes creating an illusion of seamless flow. This way …
- Edition
- -
- ISBN/ISSN
- 978-3-319-08621-7
- Collation
- -
- Series Title
- -
- Call Number
- -
Calculus in Context
We believe that calculus can be for students what it was for Euler and the Bernoullis: a language and a tool for exploring the whole fabric of science.
- Edition
- -
- ISBN/ISSN
- -
- Collation
- -
- Series Title
- -
- Call Number
- 515
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