Optimal control problems with time delays: two case studies in biomedicine
From MaRDI portal
Publication:1714927
DOI10.3934/mbe.2018051zbMath1406.92300OpenAlexW2803305180WikidataQ58125608 ScholiaQ58125608MaRDI QIDQ1714927
Helmut Maurer, Laurenz Göllmann
Publication date: 1 February 2019
Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mbe.2018051
optimal controltime delaysdiscretization methodschemo-immuno-therapy of cancercontrol of hepatitis B infection
Epidemiology (92D30) Applications of optimal control and differential games (49N90) Medical applications (general) (92C50)
Related Items
Optimal control of time delay Fredholm integro-differential equations, Continuity of Pontryagin Extremals with Respect to Delays in Nonlinear Optimal Control, Optimal control of tumour-immune model with time-delay and immuno-chemotherapy, Crandall-Lions viscosity solutions for path-dependent PDEs: the case of heat equation, Stability and optimal control of a delayed HIV/AIDS-PrEP model
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global behaviour of a delayed viral kinetic model with general incidence rate
- Local controllability and optimal control for a model of combined anticancer therapy with control delays
- Optimal control of a tuberculosis model with state and control delays
- Theory and applications of optimal control problems with multiple time-delays
- Sufficient conditions for strong local optimality in optimal control problems with \(L_{2}\)-type objectives and control constraints
- Delay differential equations: with applications in population dynamics
- Reduction of delayed optimal control problems to nondelayed problems
- SQP-methods for solving optimal control problems with control and state constraints: Adjoint variables, sensitivity analysis and real-time control
- A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells
- A class of optimal state-delay control problems
- Delay differential model for tumour-immune response with chemoimmunotherapy and optimal control
- The effect of time delay in plant-pathogen interactions with host demography
- The dynamics of a delay model of hepatitis B virus infection with logistic hepatocyte growth
- On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
- Optimal control problems with retardations and restricted phase coordinates
- A Survey of the Maximum Principles for Optimal Control Problems with State Constraints
