This paper suggests some further developments in the theory of first-order necessary optimality conditions for problems of optimal control with infinite time horizons. We describe an approximation technique involving auxiliary finite-horizon optimal control problems and use it to prove new versions of the Pontryagin maximum principle. Special attention is paid to the behavior of the adjoint variables and the Hamiltonian. Typical cases, in which standard transversality conditions hold at infinity, are described. Several significant earlier results are generalized
Necessary conditions of optimality in the form of the Pontryagin maximum principle are derived for t...
We study an optimal control problem in infinite time, where the integrand does not depend explicitly...
In the infinite-horizon and discrete-time framework we establish maximum principles of Pontryagin un...
We present a recently developed complete version of the Pontryagin maximum principle for a class of ...
In this paper we investigate a class of nonlinear infinite horizon optimal control problems arising ...
The paper presents first order necessary optimality conditions of Pontrygin's type for a general cla...
This paper suggests some further developments in the theory of first-order necessary optimality cond...
We provide necessary optimality conditions for a general class of discounted infinite-horizon dynami...
We establish necessary conditions of optimality for discrete-time infinite-horizon optimal control i...
The authors present their recently developed complete version of the Pontryagin maximum principle fo...
The paper develops the needle variations technique in application to a class of infinite-horizon opt...
The paper deals with first order necessary optimality conditions for a class of infinite-horizon opt...
In this paper, we make use of the Sobolev space W{1,1}ℝ+, ℝn to derive at once the Pontryagin condit...
This article concerns the derivation of necessary conditions of optimality for infinitehorizon contr...
This paper investigates the relationship between the maximum principle with an infinite horizon and ...
Necessary conditions of optimality in the form of the Pontryagin maximum principle are derived for t...
We study an optimal control problem in infinite time, where the integrand does not depend explicitly...
In the infinite-horizon and discrete-time framework we establish maximum principles of Pontryagin un...
We present a recently developed complete version of the Pontryagin maximum principle for a class of ...
In this paper we investigate a class of nonlinear infinite horizon optimal control problems arising ...
The paper presents first order necessary optimality conditions of Pontrygin's type for a general cla...
This paper suggests some further developments in the theory of first-order necessary optimality cond...
We provide necessary optimality conditions for a general class of discounted infinite-horizon dynami...
We establish necessary conditions of optimality for discrete-time infinite-horizon optimal control i...
The authors present their recently developed complete version of the Pontryagin maximum principle fo...
The paper develops the needle variations technique in application to a class of infinite-horizon opt...
The paper deals with first order necessary optimality conditions for a class of infinite-horizon opt...
In this paper, we make use of the Sobolev space W{1,1}ℝ+, ℝn to derive at once the Pontryagin condit...
This article concerns the derivation of necessary conditions of optimality for infinitehorizon contr...
This paper investigates the relationship between the maximum principle with an infinite horizon and ...
Necessary conditions of optimality in the form of the Pontryagin maximum principle are derived for t...
We study an optimal control problem in infinite time, where the integrand does not depend explicitly...
In the infinite-horizon and discrete-time framework we establish maximum principles of Pontryagin un...