Computation of convolution via a new set of orthogonal hybrid functions (HF) for linear control system analysis and identification

The present work proposes application of a new set of orthogonal hybrid functions (HF) which evolved from the synthesis of orthogonal sample-and-hold functions (SHF) and orthogonal triangular functions (TF). This HF set is employed for determining the result of convolution of two time functions and the result has been used for solving linear control system analysis and synthesis problems. The theory is supported by examples and the results are compared with the exact solutions.