## Search

Now showing items 1-10 of 2808

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**Necessary** **conditions** of **optimality** for state constrained infinite horizon differential inclusions

(2011-12-01)

This article presents and discusses necessary conditions of optimality for infinite horizon dynamic optimization problems with inequality state constraints and set inclusion constraints at both endpoints of the trajectory. ...

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**Necessary** **conditions** of **optimality** for state constrained infinite horizon differential inclusions

(2011-12-01)

This article presents and discusses necessary conditions of optimality for infinite horizon dynamic optimization problems with inequality state constraints and set inclusion constraints at both endpoints of the trajectory. ...

#### Free time and mixed constrained **optimal** control problems

(2010-12-01)

We consider free time optimal control problems with pointwise set control constraints u(t) ∈ U(t). Here we derive necessary conditions of optimality for those problem where the set U(t) is defined by equality and inequality ...

#### KT-invexity in **optimal** control problems

(Pergamon-Elsevier B.V. Ltd, 2009-11-15)

We extend the notion of KT-invexity from mathematical programming to the classical optimal control problem and show that this generalized invexity property is not only a sufficient condition of optimality for KT-processes ...

#### Second order **necessary** and sufficient **optimality** **conditions** for singular solutions of partially-affine control problems

(2017-03-02)

In this article we study optimal control problems for sys- tems that are affine with respect to some of the control variables and nonlinear in relation to the others. We consider finitely many equality and inequality ...

#### Sufficient **Optimality** **Conditions** for **Optimal** Control Problems with State Constraints

(2019-06-11)

It is well-known in optimal control theory that the maximum principle, in general, furnishes only necessary optimality conditions for an admissible process to be an optimal one. It is also well-known that if a process ...

#### An approach for solving interval **optimization** problems

(2018-01-01)

This work considers an optimization problem where the objective function possesses interval uncertainty in the coefficients. In this sense, first, an order relation will be defined for the interval space and, from this, ...

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**Necessary** **conditions** of **optimality** for vector-valued impulsive control problems

(2000-07-05)

A vector-valued impulsive control problem is considered whose dynamics, defined by a differential inclusion, are such that the vector fields associated with the singular term do not satisfy the so-called Frobenius condition. ...

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**Necessary** **conditions** of **optimality** for vector-valued impulsive control problems with state constraints

(2001-01-01)

A vector-valued impulsive control problem is considered whose dynamics, defined by a differential inclusion, have to satisfy state constraints and are such that the vector fields associated with the singular term do not ...