Legendre polynomials approximation to dynamic linear state equations with initial or boundary value conditions

摘要: The state equations of the linear dynamic system with initial or boundary value conditions are solved by an effective shifted Legendre polynomials approximation. A powerful calculation algorithm is proposed to integrate equation very accurate results as time tends infinity. recursive formula developed calculate expansion coefficients functions for saving computer and minimizing computational error. method suitable solve a class problems peculiar control such periodic piecewise discontinuous functions. Several illustrative examples given. Satisfactory obtained.