# Explicit Solutions for Singular Infinite Horizon Calculus of Variations

## Abstract

### Keywords

### MSC codes

## Get full access to this article

View all available purchase options and get full access to this article.

## References

*Optimality in infinite-horizon variational problems under sign conditions*, J. Optim. Theory Appl., 106 (2000), pp. 411--419.

*First order necessary conditions for the infinite-horizon variational problems*, J. Optim. Theory Appl., 88 (1996), pp. 339--364.

*Infinite Horizon Optimal Control: Deterministic and Stochastic Systems*, Springer-Verlag, New York, 1991.

*On a sufficient transversality condition for infinite horizon optimal control problems*, Automatica, 39 (2003), pp. 1007--1010.

*Optimization and Nonsmooth Analysis*, Classics in Appl. Math. 5, SIAM, Philadelphia, 1990.

*A new sufficient condition for most rapid approach paths*, J. Optim. Theory Appl., 54 (1987), pp. 403--411.

*Extremization of linear integrals by Green's theorem*, in Optimization Technique, G. Leitmann, ed., Academic Press, New York, 1962.

*Singular infinite horizon calculus of variations. Applications to fisheries management*, J. Nonlinear Convex Anal., 10 (2009).

*Transversality condition for singular infinite horizon calculus of variations*, J. Global Optim., 50 (2011), pp. 169--178.

*On the order of singular optimal control problems*, J. Optim. Theory Appl., 32 (1980), pp. 479--489.

*Nearest feasible paths in optimal control problems: Theory, examples, and counterexamples*, J. Optim. Theory Appl., 23 (1977), pp. 563--579.

*Turnpike Properties in the Calculus of Variations and Optimal Control*, Nonconvex Optim. Appl. 80, Kluwer, Dordrecht, The Netherlands, 2005.

## Information & Authors

### Information

#### Published In

#### Copyright

#### History

**Submitted**: 28 November 2011

**Accepted**: 26 June 2012

**Published online**: 4 September 2012

#### Keywords

#### MSC codes

### Authors

## Metrics & Citations

### Metrics

### Citations

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

#### Cited By

- Stability of a turnpike phenomenon for approximate solutions of nonautonomous discrete-time optimal control systemsNonlinear Analysis: Theory, Methods & Applications, Vol. 100 | 1 May 2014
- IntroductionStructure of Approximate Solutions of Optimal Control Problems | 9 July 2013
- Turnpike Properties of Optimal Control ProblemsStructure of Approximate Solutions of Optimal Control Problems | 9 July 2013
- Infinite Horizon ProblemsStructure of Approximate Solutions of Optimal Control Problems | 9 July 2013
- Linear Control SystemsStructure of Approximate Solutions of Optimal Control Problems | 9 July 2013

## View Options

### Get Access

**Access via your Institution**- Questions about how to access this content? Contact SIAM at
**[email protected]**.