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[ספר][B] Optimal control of ODEs and DAEs
M Gerdts - 2023 - books.google.com
Ordinary differential equations (ODEs) and differential-algebraic equations (DAEs) are
widely used to model control systems in engineering, natural sciences, and economy …
widely used to model control systems in engineering, natural sciences, and economy …
Optimal control in chemical engineering: Past, present and future
Abstract Roger WH Sargent (1926–2018) was an unprecedented pioneer who foresaw the
role that mathematical and computational tools would have in chemical engineering. His …
role that mathematical and computational tools would have in chemical engineering. His …
Optimal control problems with mixed constraints
F Clarke, MR De Pinho - SIAM Journal on Control and Optimization, 2010 - SIAM
We develop necessary conditions of broad applicability for optimal control problems in
which the state and control are subject to mixed constraints. We unify, subsume, and …
which the state and control are subject to mixed constraints. We unify, subsume, and …
[HTML][HTML] The optimal homotopy analysis method for solving linear optimal control problems
W Jia, X He, L Guo - Applied Mathematical Modelling, 2017 - Elsevier
In this paper, an Optimal Homotopy Analysis Method (Optimal HAM) is applied to solve the
linear optimal control problems (OCPs), which have a quadratic performance index. This …
linear optimal control problems (OCPs), which have a quadratic performance index. This …
Optimal control for unstructured nonlinear differential-algebraic equations of arbitrary index
P Kunkel, V Mehrmann - Mathematics of Control, Signals, and Systems, 2008 - Springer
We study optimal control problems for general unstructured nonlinear differential-algebraic
equations of arbitrary index. In particular, we derive necessary conditions in the case of …
equations of arbitrary index. In particular, we derive necessary conditions in the case of …
Pontryagin's maximum principle for constrained impulsive control problems
AV Arutyunov, DY Karamzin, F Pereira - Nonlinear Analysis: Theory …, 2012 - Elsevier
Necessary conditions in the form of Pontryagin's maximum principle are derived for
impulsive control problems with mixed constraints. A new mathematical concept of impulsive …
impulsive control problems with mixed constraints. A new mathematical concept of impulsive …
Maximum principle for implicit control systems
EN Devdariani, YS Ledyaev - Applied Mathematics and Optimization, 1999 - Springer
In this paper we derive optimality conditions in the form of a maximum principle for an
optimal control problem for nonlinear implicit, or descriptor, control systems. The regularity …
optimal control problem for nonlinear implicit, or descriptor, control systems. The regularity …
On constrained impulsive control problems
AV Arutyunov, DY Karamzin, FL Pereira - Journal of Mathematical …, 2010 - Springer
This paper considers constrained impulsive control problems for which the authors propose
a new mathematical concept of control required for the impulsive framework. These controls …
a new mathematical concept of control required for the impulsive framework. These controls …
[PDF][PDF] Optimal control of ordinary differential equations and differential-algebraic equations
M Gerdts - Habilitation, University of Bayreuth, 2006 - researchgate.net
This work was mainly developped at the Chair of Applied Mathematics at the Department of
Mathematics of the University of Bayreuth. I am indebted to Prof. Dr. Frank Lempio for his …
Mathematics of the University of Bayreuth. I am indebted to Prof. Dr. Frank Lempio for his …
Optimal control of causal differential–algebraic systems
T Roubíček, M Valášek - Journal of Mathematical Analysis and Applications, 2002 - Elsevier
Existence theory of Filippov–Roxin type as well as a maximum principle for optimal control
problem governed by nonlinear differential–algebraic equations of index 1, or 2, or 3 are …
problem governed by nonlinear differential–algebraic equations of index 1, or 2, or 3 are …