List of Articles Riccati Equation

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  1 - Lie algebra method for solving biological population model
  Yilun Shang
  10.1186/2251-7235-7-67
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  2 - Exact traveling wave solutions of some nonlinear evolution equations
  Hitender Kumar Fakir Chand
  10.1007/s40094-014-0114-z
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  3 - new analytical method based on Riccati equation for finding Soliton solutions of Nonlinear Lakshmanan-Porsezian-Daniel (LPD) equation
  A. Nirmeh
  In this present study analytical method based on Riccati Equation as for converting the Nonlinear Lakshmanan-Porsezian-Daniel (LPD) equation into the nonlinear ODE and finding soliton solutions of this sustem discused. Obtaining solutions are new and obtained from wave More

  In this present study analytical method based on Riccati Equation as for converting the Nonlinear Lakshmanan-Porsezian-Daniel (LPD) equation into the nonlinear ODE and finding soliton solutions of this sustem discused. Obtaining solutions are new and obtained from wave transformation. The obtained results show thatthe presented method is effective and appropriate for solving nonlinear differential equations. Manuscript profile
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  4 - بسط دادن یک روش پایدار برای محاسبه تابع ماتریس علامت و کاربرد آن برای معادلات جبری ریکاتی و سیلوستر
  پرندوش عطایی دلشاد طاهر لطفی
  10.30495/ijim.2022.19413
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  5 - Solving Differential Equations Using Modified VIM
  F. Goharee E. Babolian
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  6 - Nonlinear Modeling and Optimal Output Control of Two Wheeled Balancing Transporter
  Reza Babazadeh Ataollah Gogani Khiabani Hadi Azmi
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  7 - Optimization of Energy for Tracking of the ‎Magnetic Levitation Ball Using the SDRE ‎Technique
  Seyyed Mostafa Ghadami
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  8 - یک مطالعه جدید روی معادلات دیفرانسیل کسری غیر خطی: جواب عمومی
  موسی ایلی علی خوش کنار
  در مقاله حاضر، تکنیک آبل برای یافتن جواب عمومی از معادلات دیفرانسیل معمولی مرتبه اول خطی اصلاح شده با مشتق M-کسری کوتاه شده، توسعه داده شده است. با استفاده از روش پیشنهادی، جواب عمومی دو معادله دیفرانسیل معمولی مرتبه اول غیرخطی شناخته شده، برنولی و ریکاتی، برمبنای مشتق More

  در مقاله حاضر، تکنیک آبل برای یافتن جواب عمومی از معادلات دیفرانسیل معمولی مرتبه اول خطی اصلاح شده با مشتق M-کسری کوتاه شده، توسعه داده شده است. با استفاده از روش پیشنهادی، جواب عمومی دو معادله دیفرانسیل معمولی مرتبه اول غیرخطی شناخته شده، برنولی و ریکاتی، برمبنای مشتق M-کسری کوتاه شده به دست آمده است. برای هر معادله، چند مثال برای رضایتبخشی و کارایی روش پیشنهادی ارائه شده است. Manuscript profile
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  9 - On the Design of Extended State-Dependent Differential Riccati Equation Controller for Nonlinear Reaction-Advection-Diffusion Partial Differential Equation with Multiple Delays
  Fariba Bouzari Liavoli Ahmad Fakharian Hamid Khaloozadeh
  10.30495/ijsee.2023.1998804.1287
  This paper proposes a sub-optimal Extended State-Dependent Differential Riccati Equation (ESDDRE) controller for nonlinear Reaction-Advection-Diffusion (R-A-D) Partial Differential Equation (PDE) systems with multiple delays. A State-Dependent Riccati Equation (SDRE) is More

  This paper proposes a sub-optimal Extended State-Dependent Differential Riccati Equation (ESDDRE) controller for nonlinear Reaction-Advection-Diffusion (R-A-D) Partial Differential Equation (PDE) systems with multiple delays. A State-Dependent Riccati Equation (SDRE) is a nonlinear version of Linear Quadratic Regulator (LQR) in optimal control and it is used to analyze nonlinear optimal control problems. Instead of the linearization or the Jacobin procedure, the ESDDRE technique applies a State-Dependent Coefficients (SDC) for parameterization to construct an Extended Pseudo-Linearization (EPL) representation. All of the multiple delays sections in this presentation can be located in the system matrices and input vectors. The control effort of ESDDRE method is derived based on the Hamiltonian equation and also cost function according to the PDE systems. In addition, the L_2 stability is guaranteed by Poincaré inequality and as well as Lyapunov function regarded on the ESDDRE control strategy for the closed-loop system. The simulation results for the nonlinear R-A-D partial differential equation with one and two constant delays indicate that the proposed ESDDRE controller technique is efficient. Manuscript profile