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A Course in Optimal Control and Optimal Transport Dongjun Wu dongjun.wu@control.lth.se August, 2023 i CONTENTS Contents 1 1 Dynamic Programming 5 1.1 Discrete time systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.1.1 Shortest path problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.1.2 Optimal control on finite horizon .
Exercise for Optimal control – Week 5 Choose one problem to solve. Exercise 1. Use tent method to derive the KKT condition (google it if you don’t know) for the nonlinear optimization problem: min f(x) subject to gi(x) ≤ 0, i = 1, · · · ,m hj(x) = 0, j = 1, · · · , l where f , gi, hj are continuously differentiable real-valued functions on Rn. Exercise 2. Find a variation of inputs uϵ near u∗ that
https://www.control.lth.se/fileadmin/control/Education/DoctorateProgram/Optimal_Control/2023/ex4.pdf - 2025-07-22
5 Lecture 5. Proof of the maximum principle 5.1 The tent method We continue with the static nonlinear optimization problem: min g0(x) subject to gi(x) ≤ 0, i = 1, · · · ,m (LM) in which {gi}mi=0 ∈ C1(Rn;R). Suppose that the problem is feasible, i.e., there exists an admissible x∗ which minimizes g0(x). Recall that we defined the following sets: Ωi = {x ∈ Rn : gi(x) ≤ 0}, i = 1, · · · ,m and for x1
https://www.control.lth.se/fileadmin/control/Education/DoctorateProgram/Optimal_Control/2023/lec5.pdf - 2025-07-22
Neurons and Neuroscience 1. Introduction 2. Neurobiology 3. Simple models of a single neuron 4. Systems with a few neurons 5. Silicon neurons 6. Event based control 7. Summary Introduction ◮ A major challenge ◮ Golgi staining 1885 ◮ Cajal 1911 Mapping of the neurons using Golgi staining ◮ McCulloch and Pitts 1943 ◮ Wiener 1948 Cybernetics - Control and Communication in the Animal and the Machine ◮
https://www.control.lth.se/fileadmin/control/Education/DoctorateProgram/PhysicalModeling/Lectures/neuronseight.pdf - 2025-07-22
PowerPoint Presentation Advanced Policy Gradients CS 285: Deep Reinforcement Learning, Decision Making, and Control Sergey Levine Class Notes 1. Homework 2 due today (11:59 pm)! • Don’t be late! 2. Homework 3 comes out this week • Start early! Q-learning takes a while to run Today’s Lecture 1. Why does policy gradient work? 2. Policy gradient is a type of policy iteration 3. Policy gradient as a c
Microsoft Word - Anvisningar för opposition 19 augusti 14 19 augusti 2014 Anvisningar för opposition på examensarbeten vid LTH Oppositionen ska vara både muntlig och skriftlig och båda delar ska godkännas av respondentens examinator. Opponenten ansvarar för att respondenten och dennes examinator, senast vid seminariet där examensarbetet presenteras, får en skriftlig version av oppositionen (opposi
FRTN01realtid.dvi REGLERTEKNIK LTH KURSINFORMATION REALTIDSSYSTEM FRTN01 Vad är ett realtidssystem? Ett realtidssystem kännetecknas av det finns tidskrav som systemet måste uppfylla. Det är inte bara det resultat som systemet genererar som har betydelse utan också tidpunkten när resultatet ge- nereras. De flesta realtidssystem är reglersystem, dvs de innehåller datorer som styr och reglerar någon
FRTN20marknad.dvi REGLERTEKNIK LTH KURSINFORMATION MARKNADSSTYRDA SYSTEM FRTN20 Vad är marknadsstyrda system? Hur reglerar man produktionen i en hel fabrik? Hur gör man för att styra alltifrån nivån i en tank till hela fabrikens produktionstakt? Hur ser det ut på producerande företag idag? Finns där interna- tionella standarder och riktlinjer för hur man bör göra? Skulle man kunna dela upp regleri
Citing QPgen Home Examples Installation Documentation Licence Authors Citing Citing Documentation or a paper describing QPgen is not finished yet. However, QPgen relies on the following publications. Therefore, if you use QPgen in an academic work, you could cite: P. Giselsson and S. Boyd , Diagonal Scaling in Douglas-Rachford Splitting and ADMM . In 53rd IEEE Conference on Decision and Control .
https://www.control.lth.se/fileadmin/control/Research/Tools/qpgen/citing.html - 2025-07-22
Help file for run_code_gen QPgen Home Examples Installation Documentation Licence Authors Citing Help file for run_code_gen % ------------------------------------------------------- % [QP_reform,alg_data] = run_code_gen(QP,opts) % ------------------------------------------------------- % Generate C code to solve parametric QP:s of the form % % minimize 1/2 x'Hx + g'x + h(Cx) % subject to Ax = b %
https://www.control.lth.se/fileadmin/control/Research/Tools/qpgen/help_run_code_gen.html - 2025-07-22
Releases QPgen Home Examples Installation Documentation Licence Authors Citing Releases QPgen v0.0.2 [2014-12-19] Added features Bug fixes Efficiency improvements QPgen v0.0.1 [2014-12-11] Page generated 2015-12-09 10:07:11 CET, by jemdoc+MathJax .
https://www.control.lth.se/fileadmin/control/Research/Tools/qpgen/releases.html - 2025-07-22
170327BostonMERL_final Scalable Robustness Analysis Using Integral Quadratic Constraints Anders Rantzer LCCC Linnaeus Center, Lund University, Sweden : A Grand Challenge A control system should be delivered with 1 A specification of closed loop requirements 2 A network of interconnected process models (including controller hardware) 3 A controller code 4 A certificate proving that code and process
https://www.control.lth.se/fileadmin/control/staff/AndersRantzer/170327BostonMERL_handouts.pdf - 2025-07-22
02 - Virtualisation and Networking Slide title 70 pt CAPITALS Slide subtitle Cloud Computing #2a - Virtualisation and Networking Ericsson Internal | 2018-02-21 A p p Operating System A p p A p p A p p Virtualisation layer A p p Operating System A p p A p p A p p A p p Operating System A p p A p p A p p Hardware Virtual machine #1 Virtual machine #2 Virtual machine #3 Network virtualisation Storage
https://www.control.lth.se/fileadmin/control/staff/JohanEker/02_-_Virtualisation_and_Networking.pdf - 2025-07-22
Microsoft Word - Assignment 2.docx Assignment 2 - A simple service the Docker way The task is to extend the simple web service from assignment one. This time you are going to use containers instead of virtual machine images for deploying your applications to the cloud (the containers, however, will still run in virtual machines.). Instead of configuring your image by snapshotting it or installing
https://www.control.lth.se/fileadmin/control/staff/JohanEker/Assignment_2.pdf - 2025-07-22
Anders Blomdell | Department of Automatic Control Faculty of Engineering, LTH Search Department of Automatic Control LTH, Faculty of Engineering Education Research External Engagement Personnel Publications About, Contact Home > Anders Blomdell Denna sida på svenska This page in English Anders Blomdell Research Engineer Software Python Archiver ( apa ) Manage Installed Options ( mio ) Page Manag
https://www.control.lth.se/personnel-old/anders-blomdell/ - 2025-07-22
Cecilia Edelborg | Department of Automatic Control Faculty of Engineering, LTH Search Department of Automatic Control LTH, Faculty of Engineering Education Research External Engagement Personnel Publications About, Contact Home > Cecilia Edelborg Denna sida på svenska This page in English Cecilia Edelborg About me Financial Administrator at the department since March 2017. With our great team at
https://www.control.lth.se/personnel-old/cecilia-edelborg/ - 2025-07-22
My Research & Agenda 2030 | Department of Automatic Control Faculty of Engineering, LTH Search Department of Automatic Control LTH, Faculty of Engineering Education Research External Engagement Personnel Publications About, Contact Home > Charlotta Johnsson > My Research & Agenda 2030 Denna sida på svenska This page in English My Research & Agenda 2030 My research is driven by the desire to be
https://www.control.lth.se/personnel-old/charlotta-johnsson/my-research-agenda-2030/ - 2025-07-22
My Research & LTH's Vision | Department of Automatic Control Faculty of Engineering, LTH Search Department of Automatic Control LTH, Faculty of Engineering Education Research External Engagement Personnel Publications About, Contact Home > Charlotta Johnsson > My Research & LTH's Vision Denna sida på svenska This page in English My Research & LTH's Vision My research is driven by the desire to
https://www.control.lth.se/personnel-old/charlotta-johnsson/my-research-lths-vision/ - 2025-07-22
Industrial Cloud Sandbox | Department of Automatic Control Faculty of Engineering, LTH Search Department of Automatic Control LTH, Faculty of Engineering Education Research External Engagement Personnel Publications About, Contact Home > Charlotta Johnsson > Research projects > Research Projects - Ongoing > Industrial Cloud Sandbox Denna sida på svenska This page in English Industrial Clou
