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Welcome to Dr. Hamid Reza Marzban

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Office : Isfahan University of Technology, Department of Mathematical Sciences Email : hmarzban@iut.ac.ir Phone : +98 313 3913622 Fax : +98 313 3912602 Web Site : Dr. Hamid Reza Marzban

Professor of Mathematics

Research Fields : Optimal Control Problems

Time-Delay Systems

Calculus of Variations

Fractional Optimal Control Problems

Integral Equations

Hybrid of Orthogonal Functions and Wavelets

Fractional Differential Equations

Parameter Identification of Delay Systems

Teaching

Recent Publications

A hybrid of the fractional Vieta–Lucas functions and its application in constrained fractional optimal control systems containing delay

A collocation method for solving nonlinear delay fractional optimal control systems with constraint on the state and control variables

An accurate method for fractional optimal control problems governed by nonlinear multi-delay systems. Marzban, H.R. JVC/Journal of Vibration and Control, 2023.

Optimal control of nonlinear fractional order delay systems governed by Fredholm integral equations based on a new fractional derivative operator. Marzban, H.R. ISA Transactions, 2023.

Optimal control of linear fractional-order delay systems with a piecewise constant order based on a generalized fractional Chebyshev basis. Marzban, H.R. , Safdariyan Korooyeh, S. JVC/Journal of Vibration and Control

A generalization of Müntz-Legendre polynomials and its implementation in optimal control of nonlinear fractional delay systems. Marzban, H.R. Chaos, Solitons and Fractals, 2022, 158, 112093

Analysis of nonlinear fractional optimal control systems described by delay Volterra–Fredholm integral equations via a new spectral collocation method. Marzban, H.R. , Nezami, A. Chaos, Solitons and Fractals, 2022, 162, 112499.

Parameter identification of a class of nonlinear multidelay systems with piecewise constant delays. Marzban, H.R. Asian Journal of Control, 2022, 24(1), pp. 367–376.

Solution of a specific class of nonlinear fractional optimal control problems including multiple delays. Marzban, H.R. Optimal Control Applications and Methods, 2021, 42(1), pp. 2–29.

A new fractional orthogonal basis and its application in nonlinear delay fractional optimal control problems. Marzban, H.R. ISA Transactions, 2021, 114, pp. 106–119.

A class of nonlinear optimal control problems governed by Fredholm integro-differential equations with delay. Marzban, H.R. , Rostami Ashani, M. International Journal of Control, 2020, 93(9), pp. 2199–2211.

A new method for the solution of hybrid analog digital beamforming problems. Amini, E. , Marzban, H.R. , Rastegari, M. Optimal Control Applications and Methods, 2020, 41(5), pp. 1735–1748.

Numerical solution of optimal control problems governed by integro-differential equations. Marzban, H.R. Asian Journal of Control, 2020, 22(3), pp. 1138–1146.

Solution of delay fractional optimal control problems using a hybrid of block-pulse functions and orthonormal Taylor polynomials. Marzban, H.R. , Malakoutikhah, F. Journal of the Franklin Institute, 2019, 356(15), pp. 8182–8215.

A novel approach for the numerical investigation of optimal control problems containing multiple delays. Marzban, H.R. , Pirmoradian, H. Optimal Control Applications and Methods, 2018, 39(1), pp. 302–325.

Optimal control of linear multi-delay systems with piecewise constant delays. Marzban, H.R. , Hoseini, S.M. IMA Journal of Mathematical Control and Information, 2018, 35(1), pp. 183–212.

A hybrid approach to parameter identification of linear delay differential equations involving multiple delays. Marzban, H.R. International Journal of Control, 2018, 91(5), pp. 1034–1052.

A direct approach for the solution of nonlinear optimal control problems with multiple delays subject to mixed state-control constraints. Marzban, H.R. , Pirmoradian, H. Applied Mathematical Modelling, 2018, 53, pp. 189–213.

A composite pseudospectral method for optimal control problems with piecewise smooth solutions. Tabrizidooz, H.R. , Marzban, H.R. , Pourbabaee, M. , Hedayati, M. Journal of the Franklin Institute, 2017, 354(5), pp. 2393–2414.

Parameter identification of linear multi-delay systems via a hybrid of block-pulse functions and Taylor’s polynomials. Marzban, H.R. International Journal of Control, 2017, 90(3), pp. 520–534.

Numerical treatment of non-linear optimal control problems involving piecewise constant delay. Marzban, H.R. , Hoseini, S.M. IMA Journal of Mathematical Control and Information, 2016, 33(4), pp. 1103–1134.

An efficient discretization scheme for solving nonlinear optimal control problems with multiple time delays. Marzban, H.R., Hoseini, S.M. Optimal Control Applications and Methods, 2016, 37(4), pp. 682–707.

Optimal control of linear multi-delay systems based on a multi-interval decomposition scheme . Optimal Control Applications and Methods, 2016, 37(1), pp. 190–211

Costate Computation by an Adaptive Pseudospectral Method for Solving Optimal Control Problems with Piecewise Constant Time Lag. Hoseini, S.M. , Marzban, H.R. Journal of Optimization Theory and Applications, 2016, 170(3), pp. 735–755.

Numerical Solution of Piecewise Constant Delay Systems Based on a Hybrid Framework International Journal of Differential Equations, 2016, 2016, 9754906

A hybrid approximation scheme for discretizing constrained quadratic optimal control problems Journal of the Franklin Institute, 2014, 351(5), pp. 2640–2656.

A composite Chebyshev finite difference method for nonlinear optimal control problems

Solution of linear optimal control problems with time-delay using a composite Chebyshev finite difference

Solution of nonlinear Volterra-Fredholm integrodifferential equations via hybrid of block-pulse functions and Lagrange interpolating polynomials

A hybrid approximation method for solving Hutchinson's equation

Composite interpolation method and corresponding differentiation matrix

Solution of piecewise constant delay systems using hybrid of block-pulse and Chebyshev polynomials

A composite collocation method for the nonlinear mixed Volterra-Fredholm-Hammerstein integral equations

Analysis of time-varying delay systems via triangular functions

Solution of nonlinear delay optimal control problems using a composite pseudospectral collocation method

Rationalized Haar approach for nonlinear constrained optimal control problems

Solution of Volterra's population model via block-pulse functions and Lagrange polynomials

Solution of the generalized Emden-Fowler equations by the hybrid functions method

Solution of variational problems via hybrid of block-pulse and Lagrange interpolating

Using triangular orthogonal functions for solving Fredholm integral equations of the second kind

Hybrid functions for nonlinear initial-value problems with applications to Lane-Emden type equations

Analysis of time-varying singular bilinear systems by hybrid functions

Solution of multi-delay systems using hybrid of block-pulse functions and Taylor series

Analysis of time-delay systems via hybrid of block-pulse functions and Taylor series

Solution of time-varying delay systems by hybrid functions

Optimal control of linear delay systems via hybrid of block-pulse and Legendre polynomials

Hybrid functions approach for linearly constrained quadratic optimal control problems

Numerical solution of the controlled Duffing oscillator by hybrid functions

Optimal control of singular systems via piecewise linear polynomial functions

Hybrid functions in the calculus of variations

A hybrid domain analysis for systems with delays in state and control

Direct method for variational problems via hybrid of blocl-pulse and Chebyshev functions

A hybrid analysis direct method in calculus of variations

Dr. Hamid Reza Marzban | Professor of Mathematics

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