Ein Satz über eindeutige Abbildung und seine Anwendung in der Variationsrechnung
Equivalence of second order optimality conditions for bang-bang control problems. Part 1: Main results
Equivalence of second order optimality conditions for bang-bang control problems. Part 2: Proofs, variational derivatives and representations
Every normal linear system has a regular time-optimal synthesis
Existence and uniqueness of solutions for a class of infinite-horizon systems derived from optimal control.
Feedback Nash equilibria in optimal taxation problems
A well-known result in public economics is that capital income should not be taxed in the long run. This result has been derived using necessary optimality conditions for an appropriate dynamic Stackelberg game. In this paper we consider three models of dynamic taxation in continuous time and suggest a method for calculating their feedback Nash equilibria based on a sufficient condition for optimality. We show that the optimal tax on capital income is generally different from zero.
Formal adjoints of linear DAE operators and their role in optimal control.
Fractional-order variational calculus with generalized boundary conditions.
Gauge symmetries and Noether currents in optimal control.
Generalized splines in and optimal control.
Geometric optimal control and two-level dissipative quantum systems
Géométrie sous-riemannienne
Global stability, periodic solutions, and optimal control in a nonlinear differential delay model.
Harvesting of a single-species system incorporating stage structure and toxicity.
High order necessary optimality conditions.
High-order variations and small-time local attainability
How to state necessary optimality conditions for control problems with deviating arguments?
The aim of this paper is to give a general idea to state optimality conditions of control problems in the following form: , (1) where is a set of admissible controls and is the solution of the following equation: ; . (2). The results are nonlocal and new.
Interior sphere property of attainable sets and time optimal control problems
This paper studies the attainable set at time T>0 for the control system showing that, under suitable assumptions on f, such a set satisfies a uniform interior sphere condition. The interior sphere property is then applied to recover a semiconcavity result for the value function of time optimal control problems with a general target, and to deduce C1,1-regularity for boundaries of attainable sets.
Invariant control sets on flag manifolds and ideal boundaries of symmetric spaces.
Inversion in indirect optimal control of multivariable systems
This paper presents the role of vector relative degree in the formulation of stationarity conditions of optimal control problems for affine control systems. After translating the dynamics into a normal form, we study the Hamiltonian structure. Stationarity conditions are rewritten with a limited number of variables. The approach is demonstrated on two and three inputs systems, then, we prove a formal result in the general case. A mechanical system example serves as illustration.