A survey on sufficient optimality conditions for delayed optimal control problems
arXiv:2004.10029 · doi:10.1007/978-3-030-49896-2_12
Abstract
The aim of this work is to make a survey on recent sufficient optimality conditions for optimal control problems with time delays in both state and control variables. The results are obtained by transforming delayed optimal control problems into equivalent non-delayed problems. Such approach allows to use standard theorems that ensure sufficient optimality conditions for non-delayed optimal control problems. Examples are given with the purpose to illustrate the results.
arXiv commentThis is a preprint of the following paper: A. P. Lemos-Paião, C. J. Silva and D. F. M. Torres, A survey on sufficient optimality conditions for delayed optimal control problems, published in Mathematical Modelling and Analysis of Infectious Diseases, edited by K. Hattaf and H. Dutta, Springer Nature Switzerland AG. Submitted 2/Feb/2020; revised 16/Apr/2020; accepted 17/Apr/2020. arXiv admin note: substantial text overlap with arXiv:1901.04340, arXiv:1804.06937
References in corpus (13)
- Approximate Controllability of Fractional Delay Dynamic Inclusions with Nonlocal Control Conditions
- Optimal Control of a Tuberculosis Model with State and Control Delays
- Approximate Controllability of Fractional Nonlocal Delay Semilinear Systems in Hilbert Spaces
- Noether's Symmetry Theorem for Variational and Optimal Control Problems with Time Delay
- Variational problems of Herglotz type with time delay: DuBois-Reymond condition and Noether's first theorem
- Stability and Optimal Control of a Delayed HIV Model
- Noether's Theorem for Nonsmooth Extremals of Variational Problems with Time Delay
- Optimal control of a delayed HIV model
- Noether currents for higher-order variational problems of Herglotz type with time delay
- Higher-order variational problems of Herglotz type with time delay
- Optimal control with time-delays via the penalty method
- A Non-Differentiable Quantum Variational Embedding in Presence of Time Delays
- A sufficient optimality condition for delayed state-linear optimal control problems