A class of nonlinear optimal control problems governed by Fredholm integro-differential equations with delay
DOI10.1080/00207179.2018.1550683zbMath1453.93110OpenAlexW2901588329MaRDI QIDQ5130095
Hamid-Reza Marzban, Mehrdad Rostami Ashani
Publication date: 3 November 2020
Published in: International Journal of Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207179.2018.1550683
nonlinear optimal controltime-delay systemblock-pulse functionsFredholm integro-differential equationorthonormal Taylor polynomials
Nonlinear systems in control theory (93C10) Existence theories for optimal control problems involving ordinary differential equations (49J15) Fredholm integral equations (45B05) Control/observation systems governed by ordinary differential equations (93C15) Delay control/observation systems (93C43)
Related Items
Cites Work
- Unnamed Item
- A general form of the generalized Taylor's formula with some applications
- A novel expansion iterative method for solving linear partial differential equations of fractional order
- A hybrid time-scaling transformation for time-delay optimal control problems
- Approximate analytical solution of the nonlinear fractional KdV-Burgers equation: a new iterative algorithm
- Theory and applications of optimal control problems with multiple time-delays
- Optimal control of delay systems by using a hybrid functions approximation
- A computational method for solving time-delay optimal control problems with free terminal time
- Delay differential equations: with applications in population dynamics
- Optimal control of linear delay systems via hybrid of block-pulse and Legendre polynomials
- Optimal control of delay systems via block pulse functions
- Optimization of time delay systems by hybrid functions
- Time-delay systems: an overview of some recent advances and open problems.
- A direct approach for the solution of nonlinear optimal control problems with multiple delays subject to mixed state-control constraints
- A hybrid approximation scheme for discretizing constrained quadratic optimal control problems
- Analysis of time-varying delay systems by hybrid of block-pulse functions and biorthogonal multiscaling functions
- Parameter identification of linear multi-delay systems via a hybrid of block-pulse functions and Taylor’s polynomials
- The Linear-Quadratic Optimal Control Problem with Delays in State and Control Variables: A State Space Approach
- Hereditary Control Problems: Numerical Methods Based on Averaging Approximations
- A hybrid approach to parameter identification of linear delay differential equations involving multiple delays
- Optimal control of a class of non-linear time-delay systems via hybrid functions
- Analysis of linear time-invariant time-delay systems via orthogonal functions
- Analysis of Time-delay Systems via Hybrid of Block-pulse Functions and Taylor Series
- Delay optimal control and viscosity solutions to associated Hamilton–Jacobi–Bellman equations
- Solving optimal control problems of the time-delayed systems by Haar wavelet
- An almost optimal control design method for nonlinear time-delay systems