Solution of linear two-point boundary value problems and optimal control of time-varying systems by shifted Chebyshev approximations

Solution of linear two-point boundary va

Solution of linear two-point boundary value problems via Fourier series and application to optimal control of linear systems

✍ Mohsen Razzaghi; Alireza Tahai; Abdollah Arabshahi 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 480 KB

The transformation matrix reIating the back vector to the current time vector for the Fourier series is derived and utilized to solve the linear two-point boundary value problem. This approach can be applied to obtain the optimal control of linear systems subject to quadratic cost criteria. Illustra