Orthonormal shifted discrete Hahn polynomials for a new category of nonlinear variable‐order fractional 2D optimal control problems

• Published in: Asian journal of control Vol. 24; no. 4; pp. 1986 - 1997
• Main Authors: Heydari, Mohammad Hossein, Avazzadeh, Zakieh, Cattani, Carlo
• Format: Journal Article
• Language: English
• Published: Hoboken Wiley Subscription Services, Inc 01.07.2022
• Subjects: 2D optimal control problems; Boundary value problems; Caputo derivative; Lagrange multiplier; Mathematical analysis; matrix relations; Numerical methods; Optimal control; Optimization; orthonormal shifted discrete Hahn polynomials; Polynomials; Robin boundary value conditions

The present work provides a formulation for the orthonormal shifted discrete Hahn polynomials on an arbitrary domain. We also extract some useful matrix relationshipsrelating to these discrete polynomials. These polynomials and the obtained relations are employed with the Lagrange multipliers techni...