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Moessner1995
M. Moessner-Beigel: Optimale Steuerung f\"ur Industrieroboter unter Ber\"ucksichtigung der getriebebedingten Elastizit\"at, 1995
Mohideen1997
M.J. Mohideen; J.D. Perkins; E.N. Pistikopoulos (1997): Towards an efficient numerical procedure for mixed integer optimal control. Computers \& Chemical Engineering , 21, S457--S462
Moor1999
T. Moor; J. Raisch (1999): Supervisory control of hybrid systems within a behavioural framework. Systems \& Control Letters , 38, 157--166
Mueller2014
M\"uller, F.: Lange Schritte in Active-Set-Verfahren, 2014
Neustadt1963
Neustadt, L.W. (1963): The existence of optimal controls in absence of convexity conditions. Journal of Mathematical Analysis and Applications , 7, 110--117
Oldenburg2003
Oldenburg, J.; Marquardt, W.; Heinz, D.; Leineweber, D.B. (2003): Mixed Logic Dynamic Optimization Applied to Batch Distillation Process Design. AIChE Journal , 49, 2900--2917
Oldenburg2005
J. Oldenburg (2005): Logic--based modeling and optimization of discrete--continuous dynamic systems. (%edition%). VDI Verlag , D\"usseldorf, %pages%
Oldenburg2008
J. Oldenburg; W. Marquardt (2008): Disjunctive modeling for optimal control of hybrid systems. Computers \& Chemical Engineering , 32, 2346--2364
Pantoja1991
J.F.A.D. Pantoja; D. Q. Mayne (1991): Sequential quadratic programming algorithm for discrete optimal control problems with control inequality constraints. International Journal on Control , 53, 823--836
Papamichail2004
Papamichail, I.; Adjiman, C.S. (2004): Global optimization of dynamic systems. Computers \& Chemical Engineering , 28, 403--415
Pietrus2009
Pietrus, A.; Veliov, V. M. (2009): On the Discretization of Switched Linear Systems. Systems \& Control Letters , 58, 395--399
Plitt1981
Plitt, K.J.: Ein superlinear konvergentes Mehrzielverfahren zur direkten Berechnung beschr\"ankter optimaler Steuerungen, 1981
Pontryagin1962
Pontryagin, L.S.; Boltyanski, V.G.; Gamkrelidze, R.V.; Miscenko, E.F. (1962): The Mathematical Theory of Optimal Processes. (%edition%). Wiley , Chichester, %pages%
Potschka2008
Potschka, A.; Bock, H.G.; Schl\"oder, J.P. (2009): A minima tracking variant of semi-infinite programming for the treatment of path constraints within direct solution of optimal control problems. Optimization Methods and Software , 24, 237--252
Prata2008
A. Prata; J. Oldenburg; A. Kroll; W. Marquardt (2008): Integrated scheduling and dynamic optimization of grade transitions for a continuous polymerization reactor. Computers \& Chemical Engineering , 32, 463--476
Preda2005
D. Preda; J. Noailles (2005): Mixed integer programming for a special logic constrained optimal control problem. Mathematical Programming , 102, 309--333
Rehbock2002
V. Rehbock; L. Caccetta (2002): Two defence applications involving discrete valued optimal control. ANZIAM Journal , 44, E33--E54
Ross1999
Ross, R.; Bansal, V.; Perkins, J.D.; Pistikopoulos, E.N.; van Schijndel, J.M.G.; Koot, G.L.M. (1999): Optimal Design and Control of an Industrial Distillation System. Computers \& Chemical Engineering , 23(SS), S875--S878
Rothschild1997
B.J. Rothschild; A.F. Sharov; A.J. Kearsley; A.S. Bondarenko (1997): Estimating growth and mortality in stage-structured populations. Journal of Plankton Research , 19, 1913--1928
Ruiz2009
J.P. Ruiz; I.E. Grossmann (2009): Global Optimization of Nonconvex Generalized Disjunctive Programs. 10th International Symposium on Process Systems Engineering: Part A
Ruiz2012
J.P. Ruiz; I.E. Grossmann (2012): A hierarchy of relaxations for nonlinear convex generalized disjunctive programming. European Journal of Operational Research , 218, 38--47
Ruiz2012a
J.P. Ruiz; I.E. Grossmann (2012): A New Theoretical Result for Convex Nonlinear Generalized Disjunctive Programs and its Applications. 22nd European Symposium on Computer Aided Process Engineering
Ruiz2013
J.P. Ruiz; I.E. Grossmann (2013): Using convex nonlinear relaxations in the global optimization of nonconvex generalized disjunctive programs. Computers \& Chemical Engineering , 49, 70--84
Sachs2015
Sachs, E. S.: Optimale Schuldenakkumulation in einem zeitdiskreten stochastischen Modell, 2015
Sager2001
Sager, S.: Lange Schritte im Dualen Simplex-Algorithmus, 2001
Sager2005
S. Sager (2005): Numerical methods for mixed--integer optimal control problems. (%edition%). Der andere Verlag , Tönning, Lübeck, Marburg, %pages%
Sager2005a
Sager, S.: Hohe Mathematik beim Science Picnic, 2005
Sager2006
S. Sager; H.G. Bock; M. Diehl; G. Reinelt; J.P. Schl\"oder (2009): Numerical methods for optimal control with binary control functions applied to a Lotka-Volterra type fishing problem. Springer , Recent Advances in Optimization
Sager2006a
Sager, S.: Numerische Methoden f\"ur Probleme der gemischt-ganzzahligen Optimalen Steuerung, 2006
Sager2006b
Sager, S. (2006): Numerical methods for mixed--integer optimal control problems. Universit\"at Heidelberg
Sager2007
S. Sager; M. Diehl; G. Singh; A. K\"upper; S. Engell (2007): Determining SMB superstructures by mixed-integer control. Springer , Proceedings OR2006
Sager2007a
S. Sager; U. Brandt-Pollmann; M. Diehl; D. Lebiedz; H.G. Bock (2007): Exploiting system homogeneities in large scale optimal control problems for speedup of multiple shooting based SQP methods. Computers \& Chemical Engineering , 31, 1181--1186
Sager2007c
Sager, S.: Von diskreten Mathematikern und Wanderungen im Gebirge, 2007
Sager2008a
S. Sager; C. Kirches; H.G. Bock (2008): Fast solution of periodic optimal control problems in automobile test-driving with gear shifts. %publisher% , Proceedings of the 47th IEEE Conference on Decision and Control (CDC 2008), Cancun, Mexico
Sager2009
Sager, S.; Reinelt, G.; Bock, H.G. (2009): Direct Methods With Maximal Lower Bound for Mixed-Integer Optimal Control Problems. Mathematical Programming , 118, 109--149
Sager2009b
S. Sager (2009): Reformulations and Algorithms for the Optimization of Switching Decisions in Nonlinear Optimal Control. Journal of Process Control , 19, 1238--1247
Sager2010f
Sager, S.; Barth, C.; Diedam, H.; Engelhart, M.; Funke, J. (2010): Optimization to measure performance in the Tailorshop test scenario --- structured MINLPs and beyond. %publisher% , Proceedings EWMINLP10
Sager2011a
S. Sager; M. Jung; C. Kirches (2011): Combinatorial Integral Approximation. Mathematical Methods of Operations Research , 73, 363--380
Sager2011c
Sager, S.; Barth, C.; Diedam, H.; Engelhart, M.; Funke, J. (2011): Optimization as an Analysis Tool for Human Complex Problem Solving. SIAM Journal on Optimization , 21, 936--959
Sager2011d
S. Sager: On the Integration of Optimization Approaches for Mixed-Integer Nonlinear Optimal Control, 2011
Sager2012a
Sager, S.; Bock, H.G.; Diehl, M. (2012): The Integer Approximation Error in Mixed-Integer Optimal Control. Mathematical Programming A , 133, 1--23
Sager2012b
S. Sager (2012): A benchmark library of mixed-integer optimal control problems. Springer , Mixed Integer Nonlinear Programming
Sager2013
Sager, S. (2013): Sampling Decisions in Optimum Experimental Design in the Light of Pontryagin's Maximum Principle. SIAM Journal on Control and Optimization , 51, 3181--3207
Sager2015
Sager, S.; M. Claeys; F. Messine (2015): Efficient upper and lower bounds for global mixed-integer optimal control. Journal of Global Optimization , 61, 721--743
Sakizlis2004
Sakizlis, V.; Perkins, J.D.; Pistikopoulos, E.N. (2004): Recent advances in optimization-based simultaneous process and control design. Computers \& Chemical Engineering , 28, 2069--2086
Sawaya2007
N.W. Sawaya; I.E. Grossmann (2007): Computational implementation of non-linear convex hull reformulation. Computers \& Chemical Engineering , 31, 856--866
Sawaya2012
N.W. Sawaya; I.E. Grossmann (2012): A hierarchy of relaxations for linear generalized disjunctive programming. European Journal of Operational Research , 216, 70--82
Schaefer2009
Sch\"afer, A.: On scaling techniques and termination criteria for SQP methods, 2009
Schittkowski2002
K. Schittkowski (2002): Test problems for nonlinear programming - user's guide. Department of Mathematics, University of Bayreuth.
Schlegel2006
Schlegel, M.; Marquardt, W. (2006): Detection and exploitation of the control switching structure in the solution of dynamic optimization problems. Journal of Process Control , 16, 275--290
Schlegl1997
Schlegl, T.; Buss, M.; Schmidt, G. (1997): Development of Numerical Integration Methods for Hybrid (Discrete--Continuous) Dynamical Systems. %publisher% , Proceedings of Advanced Intelligent Mechatronics
Scholz2013
Scholz, S.: Obere Schranken f\"ur die Kusszahl, 2013
Scholz2014
Scholz, E.P.; Kehrle, F.; Vossel, S.; Hess, A.; Zitron, E.; Katus, H.A.; Sager, S. (2014): Discriminating atrial flutter from atrial fibrillation using a multilevel model of atrioventricular conduction. Heart Rhythm , 11, 877--884
Schroeter2015
Schr\"oter, M.: L\"osung von Bilevel Optimierungsproblemen mithilfe des Kuhn--Tucker Ansatzes, 2015
Schweiger1997
C. Schweiger; C. Floudas (1997): Interaction of Design and Control: Optimization with Dynamic Models. Optimal Control: Theory, Algorithms, and Applications
Seguchi2003
Seguchi, H.; Ohtsuka, T. (2003): Nonlinear Receding Horizon Control of an Underactuated Hovercraft. International Journal of Robust and Nonlinear Control , 13, 381--398
Shaik2008
Shaik, O.S.; Sager, S.; Slaby, O.; Lebiedz, D. (2008): Phase tracking and restoration of circadian rhythms by model-based optimal control. IET Systems Biology , 2, 16--23
Shaikh2004
M.S. Shaikh (2004): Optimal Control of Hybrid Systems: Theory and Algorithms. Department of Electrical and Computer Engineering, McGill University, Montreal, Canada
Shaikh2007
M.S. Shaikh; P.E. Caines (2007): On the hybrid optimal control problem: Theory and Algorithms.. IEEE Transactions on Automatic Control , 52, 1587--1603
Sharon2007
Y. Sharon; M. Margaliot (2007): Third-order nilpotency, finite switchings and asymptotic stability. Journal of Differential Equations , 233, 135--150
Silva2001
B. Izaias Silva; O. Stursberg; B.H. Krogh; S. Engell (2001): An Assessment of the Current Status of Algorithmic Verification of Hybrid Systems. %publisher% , Proc. IEEE Conference on Decision and Control
Slaby2007
Slaby, O.; Sager, S.; Shaik, O.S.; Kummer, U.; Lebiedz, D. (2007): Optimal control of self-organized dynamics in cellular signal transduction. Mathematical and Computational Modelling of Dynamical Systems , 13, 487--502
Sonntag2006
C. Sonntag; O. Stursberg; S. Engell (2006): Dynamic Optimization of an Industrial Evaporator using Graph Search with Embedded Nonlinear Programming. %publisher% , Proc. 2nd IFAC Conf. on Analysis and Design of Hybrid Systems (ADHS)
Sorgatz2012
Sorgatz, S.: Beschleunigte Berechnungen gradbeschränkter aufspannender B\"aume in planaren Graphen mittels erweiterter Formulierungen, 2012
Srinivasan2003
Srinivasan, B.; Palanki, S.; Bonvin, D. (2003): Dynamic Optimization of Batch Processes: I. Characterization of the Nominal Solution. Computers \& Chemical Engineering , 27, 1--26
Stoer1992
Stoer, J.; Bulirsch, R. (1992): Introduction to Numerical Analysis. (%edition%). Springer , %address%, %pages%
Stosch2010
von Stosch, M.; Peres, J.; de Azevedo, S.~F.; Oliveira, R. (2010): Modelling biochemical networks with intrinsic time delays: a hybrid semi-parametric approach. BMC Systems Biology , 4, 131--143
Stryk1999
Stryk, O. von (1999): User's guide for DIRCOL (Version 2.1): A direct collocation method for the numerical solution of optimal control problems. Technische Universit\"at M\"unchen, Germany.
Stryk2000
Stryk, O. von; Glocker, M. (2000): Decomposition of Mixed-Integer Optimal Control Problems Using Branch and Bound and Sparse Direct Collocation. %publisher% , Proc. ADPM 2000 -- The 4th International Conference on Automatisation of Mixed Processes: Hybrid Dynamical Systems
Stryk2001
Stryk, O. von; Glocker, M. (2001): Numerical mixed-integer optimal control and motorized traveling salesmen problems. European Journal of Control , 35, 519--533
Stursberg2002
Stursberg, O.; Panek, S.; Till, J.; Engell, S. (2002): Generation of Optimal Control Policies for Systems with Switched Hybrid Dynamics. Springer , Modelling, Analysis and Design of Hybrid Systems
Stursberg2002a
O. Stursberg; S. Engell (2002): Optimal Control of Switched Continuous Systems Using Mixed-Integer Programming. %publisher% , 15th IFAC World Congress
Sussmann1999
Sussmann, H.J. (1999): A maximum principle for hybrid optimal control problems. %publisher% , Conference proceedings of the 38th IEEE Conference on Decision and Control
Szymkat2008
M. Szymkat; A. Korytowski (2008): The Method of Monotone Structural Evolution for Dynamic Optimization of Switched Systems. %publisher% , IEEE CDC08 Proceedings
Tauchnitz2010
Tauchnitz, N. (2010): Das Pontrjaginsche Maximumprinzip f\"ur eine Klasse hybrider Steuerungsprobleme mit Zustandsbeschr\"ankungen und seine Anwendung. BTU Cottbus
Terwen2004
Terwen, S.; Back, M.; Krebs, V. (2004): Predictive powertrain control for heavy duty trucks. %publisher% , Proceedings of IFAC Symposium in Advances in Automotive Control
Tetschke2014
Tetschke, M.: Nichtlineare Modell--pr\"adiktive Regelung am Beispiel eines PKW--K\"uhlkreislaufes, 2014
Till2004
J. Till; S. Engell; S. Panek; O. Stursberg (2004): Applied Hybrid System Optimization: An Empirical Investigation of Complexity. Control Engineering Practice , 12, 1291--1303
Till2007
Till, Jochen; Sand, Guido; Urselmann, Maren; Engell, Sebastian (2007): A hybrid evolutionary algorithm for solving two-stage stochastic integer programs in chemical batch scheduling. Computers \& Chemical Engineering , 31, 630--647
Tjoa1991
I.-B. Tjoa; L.T. Biegler (1991): Simultaneous solution and optimization strategies for parameter estimation of differential-algebraic equations systems. Ind. Eng. Chem. Res. , 30, 176--385
TOBAGO
S. Sager; H. Diedam; M. Engelhart: Tailorshop: Optimization Based Analysis and data Generation tOol, %year%
Tometzki2006
T. Tometzki; O. Stursberg; C. Sonntag; S. Engell (2006): Optimizing Hybrid Dynamic Processes by Embedding Genetic Algorithms into MPC. %publisher% , Proc. IFAC Symposium ADCHEM 2006
Torrisi2004
F.D. Torrisi; A. Bemporad (2004): HYSDEL -- A Tool for Generating Computational Hybrid Models for Analysis and Synthesis Problems. IEEE Transactions on Control Systems Technology , 12, 235--249
Tsiantis2018
Tsiantis, Nikolaos; Balsa-Canto, Eva; Banga, Julio R (2018): Optimality and identification of dynamic models in systems biology: an inverse optimal control framework. Bioinformatics , 34, 2433-2440
Turkay1996
Turkay, M.; Grossmann, I.E. (1996): Logic-Based MINLP Algorithms For the Optimal Synthesis Of Process Networks. Computers \& Chemical Engineering , 20, 959--978
Uthaichana2005
K. Uthaichana; S. Bengea; R. DeCarlo (2005): HEV Modeling for a supervisory level power flow control problem. %publisher% , Proceedings of the 16th IFAC World Congress
Uthaichana2008
K. Uthaichana; S. Bengea; R. DeCarlo; S. Pekarek; M. Zefran (2008): Hybrid model predictive control tracking of a sawtooth driving profile for an HEV. %publisher% , American Control Conference, 2008
Veliov1997
Veliov, V.M. (1997): On the time discretization of control systems. SIAM Journal of Control and Optimization , 35, 1470--1486
Veliov2003
V. Veliov (2003): Relaxation of Euler-Type Discrete-Time Control System. TU-Wien.
Veliov2005
Veliov, V. M. (2005): Error analysis of discrete approximations to bang-bang optimal control problems: the linear case. Control and Cybernetics , 34, 967--982
Wieczorek2014
Wieczorek, S.: Planung und Controlling wissensintensiver Diestleistungsprozesse, 2014
Witsenhausen1966
Witsenhausen, H.~S. (1966): A Class of Hybrid--State Continuous--Time Dynamic Systems. IEEE Transactions on Automatic Control , 11, 161--168
Wolff2015
Freiherr von Wolff, M.C.: L\"osen von Investitionsproblemen unter Unsicherheit mit Hilfe Dynamischer Programmierung, 2015
Wong2002
K.H. Wong; L.S. Jennings; F. Benyah (2002): The Control Parametrization Enhancing Transform for Constrained Time-Delayed Optimal Control Problems. Journal of Australian Mathematical Society , 43, E154--E185
Yu2013
C.J. Yu; B. Li; R. Loxton; K.L. Teo (2013): Optimal discrete-valued control computation. Journal of Global Optimization , 56, 503--518
Zanon2013b
Zanon, M.; Frasch, J.; Diehl, M. (2013): Nonlinear Moving Horizon Estimation for Combined State and Friction Coefficient Estimation in Autonomous Driving. %publisher% , Proceedings of the European Control Conference
Zanon2014
Zanon, Mario; Frasch, JanickV.; Vukov, Milan; Sager, Sebastian; Diehl, Moritz (2014): Model Predictive Control of Autonomous Vehicles. Optimization and Optimal Control in Automotive Systems
Zelikin1994
Zelikin, M.I.; Borisov, V.F. (1994): Theory of chattering control with applications to astronautics, robotics, economics and engineering. (%edition%). Birkh\"auser , Basel Boston Berlin, %pages%
Zhang2001
Zhang, J.; Johansson, K.H.; Lygeros, J.; Sastry, S. (2001): Zeno hybrid systems. International Journal of Robust and Nonlinear Control , 11, 435--451
Zhang2008a
Zhang, F.; Yeddanapudi, M.; Mosterman, P.~J. (2008): Zero-Crossing Location and Detection Algorithms For Hybrid System Simulation. Proceedings of the 17th World Congress