[PDF] Top 20 Solving the Optimal Control of Linear Systems via Homotopy Perturbation Method
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Solving the Optimal Control of Linear Systems via Homotopy Perturbation Method
... Optimal control problems arise in a wide variety of dis- ciplines. optimal control theory has also been used with great success in areas as diverse as economics to biome- dicine ...generally ... See full document
8
Variational Homotopy Perturbation Method for Solving Riccati Type Differential Problems
... the linear and nonlinear optimal control ...decomposition method [1], homotopy Analysis method HAM [2], variational iteration method VIM [3] and homotopy ... See full document
8
Numerical method for solving optimal control problem of the linear differential systems with inequality constraints
... Orthogonal functions, often used to solve various problems of dynamic systems. The aim of this technique is reducing these problems to a set of algebraic equations. Typical examples are the block-pulse functions ... See full document
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New Approach of Homotopy Perturbation Method for Solving the Equations in Enzyme Biochemical Systems
... Recently, many authors have applied the HPM to various problems and demonstrated the efficiency of the HPM to hand non-linear structure and solve various physics and engineering problems [5-7]. This method ... See full document
6
The Homotopy Perturbation Method for Solving the Kuramoto – Sivashinsky Equation
... diffusion systems (Kuramoto and Tsuzuki, 1976)[11], long waves on the interface between two viscous fluids (Hooper and Grimshaw, 1985)[12], and thin hydrodynamics films (Sivashinsky, ... See full document
5
Equivalence of ( A D M, H P M, A P M ) for Solving Functional Equations
... for solving functional equations. This method well addressed in [1–3] has been applied to solve many functional equations and systems of functional ...The homotopy perturbation ... See full document
5
Solving linear optimal control problems of the time-delayed systems by Adomian decomposition method
... Optimal control of time-delay systems is one of the most challenging math- ematical problems in control ...and control design much more ...transformation systems; see [14]. The ... See full document
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The Optimal Homotopy Asymptotic Method with Application to Second Kind of Nonlinear Volterra Integral Equations
... decomposition method [2] was introduced, which is an exceptionally effective and powerful method for solving linear and nonlinear problems in various ...for solving such type of ... See full document
14
The comparison of optimal homotopy asymptotic method and homotopy perturbation method to solve Fisher equation
... powerful method for solving nonlinear partial differential equations, especially for the Fisher ...for solving linear and nonlinear Fisher ... See full document
11
Combine aboodh transform and homotopy perturbation method for solving linear and nonlinear schrodinger equations
... The linear and nonlinear Schrodinger equation is an example of a universal linear and nonlinear model that describes many physical ...decomposition method Hashim, Noorani, ...the homotopy ... See full document
5
Modified homotopy perturbation method for solving non-linear oscillator's equations
... homptopy perturbation method is used for solving oscillator differential equation, which yields the Maclaurin series of the exact ...amplitude control, synchronization dynamics are dependent ... See full document
7
A Modified New Homotopy Perturbation Method for Solving Linear Integral Equations – Differential
... new Homotopy Perturbation Method (HPM) is introduced to obtain exact solutions of the systems of integral equations-differential and is provided examples for the accuracy of this ...new ... See full document
6
Solving the non linear system of third order boundary value problems by using He's homotopy perturbation method
... new method is applied to non-linear oscillators with discontinuities by He's [15], bifurcation of non-linear problems, periodic solution and bifurcations of delay-dierential equations, limit cycle ... See full document
13
Solving a System of Linear Equations by Homotopy Analysis Method
... (3.6) In order to make a better comparison between this method and the Jacobi iterative method [10] we rewrite the HAM scheme in matrix form. Toward this end, let D stands for the diagonal matrix whose ... See full document
8
Laplace Homotopy Perturbation Method of Solving Nonlinear Partial Differential Equations
... Some integral transformation techniques include Elzaki ([EH12, Elz11]), Laplace ([HM10, KG09]), Sumudu ([EK10a, Zha07]), Aboodh ([Abo14, Abo13]) have been applied to solve linear partial differential equations. ... See full document
6
On The Simulation of Partial Differential Equations Using the Hybrid of Fourier Transform and Homotopy Perturbation Method
... the homotopy perturbation method (HPM) [1-23], variational iteration method (VIM) and Adomian decomposition method (ADM) ...standard homotopy and perturbation methods, the ... See full document
11
Homotopy Perturbation Method For Fractional Gas Dynamics Equation Using A New Local Fractional Integral Transform.
... new homotopy perturbation, a new local fractional α - integral transform method is proposed to solve nonlinear fractional gas dynamics ...decomposition method The results obtained by the two ... See full document
7
Comparison between the Homotopy Perturbation Method and Homotopy Perturbation Transform Method
... [7] Ghorbani, A. and Saberi-Nadjafi, J. (2007) He’s Homotopy Perturbation Method for Calculating Adomian Polynomials. International Journal of Nonlinear Sciences and Numerical Simulation , 8, ... See full document
8
Application of He's homotopy perturbation method for solving Sivashinsky equation
... proposed method (HPM) have been compared and verified with that obtained by Adomians decomposition ...that homotopy perturbation method is powerful mathematical tool for solutions of nonlinear ... See full document
7
Analysis of the new homotopy perturbation method for linear and nonlinear problems
... where a, b, g and f are continuous functions in some region of the plane and g() = . By solving this boundary value problem by the homotopy perturbation method, we obtain an approximate or ... See full document
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