Sensitivity analysis for optimal control problems described by nonlinear fractional evolution inclusions
-
Xiuwen Li
,
Yunxiang Li
Abstract
In this paper, a sensitivity analysis of optimal control problem for a class of systems described by nonlinear fractional evolution inclusions (NFEIs, for short) on Banach spaces is investigated. Firstly, the nonemptiness as well as the compactness of the mild solutions set S(ζ) (ζ being the initial condition) for the NFEIs are obtained, and we also present an extension Filippov’s theorem and whose proof differs from previous work only in some technical details. Finally, the optimal control problems described by NFEIs depending on the initial condition ζ and the parameter η are considered and the sensitivity properties of the optimal control problem are also established.
Acknowledgements
The author thanks for the support supported by NNSF of China Grants Nos. 11671101, 11661001, NSF of Guangxi (2018GXNSFDA138002), NSF of Hunan (2018JJ3519), the Project of Guangxi Education Department grant No. KY2016YB417 and the funding from the European Union’s Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie (823731 CONMECH).
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© 2018 Diogenes Co., Sofia
Articles in the same Issue
- Frontmatter
- Editorial Note
- FCAA related news, events and books
- Research Paper
- Sensitivity analysis for optimal control problems described by nonlinear fractional evolution inclusions
- Finite-time attractivity for semilinear tempered fractional wave equations
- Geometry of curves with fractional-order tangent vector and Frenet-Serret formulas
- Extrapolating for attaining high precision solutions for fractional partial differential equations
- Time optimal controls for fractional differential systems with Riemann-Liouville derivatives
- Inverses of generators of integrated fractional resolvent operator functions
- A variational approach for boundary value problems for impulsive fractional differential equations
- Infinitely many solutions to boundary value problem for fractional differential equations
- A semi-analytic method for fractional-order ordinary differential equations: Testing results
- Blow-up and global existence of solutions for a time fractional diffusion equation
- A note on the Blaschke-Petkantschin formula, Riesz distributions, and Drury’s identity
- Short Paper
- Fractal dimension of Riemann-Liouville fractional integral of 1-dimensional continuous functions
Articles in the same Issue
- Frontmatter
- Editorial Note
- FCAA related news, events and books
- Research Paper
- Sensitivity analysis for optimal control problems described by nonlinear fractional evolution inclusions
- Finite-time attractivity for semilinear tempered fractional wave equations
- Geometry of curves with fractional-order tangent vector and Frenet-Serret formulas
- Extrapolating for attaining high precision solutions for fractional partial differential equations
- Time optimal controls for fractional differential systems with Riemann-Liouville derivatives
- Inverses of generators of integrated fractional resolvent operator functions
- A variational approach for boundary value problems for impulsive fractional differential equations
- Infinitely many solutions to boundary value problem for fractional differential equations
- A semi-analytic method for fractional-order ordinary differential equations: Testing results
- Blow-up and global existence of solutions for a time fractional diffusion equation
- A note on the Blaschke-Petkantschin formula, Riesz distributions, and Drury’s identity
- Short Paper
- Fractal dimension of Riemann-Liouville fractional integral of 1-dimensional continuous functions
