Non-Sinusoidal Orthogonal Functions in Systems and Control.- Hybrid Function (HF) and Its Properties.- Function Approximation via Hybrid Functions.- Integration and Differentiation Using HF Domain Operational Matrices.- One-Shot Operational Matrices for Integration.- Solution of Linear Differential Equations.- Convolution of Time Functions.- Time Invariant System Analysis: State Space Approach.- Time Varying System Analysis: State Space Approach.- Multi-Delay System Analysis: State Space Approach.- Time Invariant System Analysis: Method of Convolution.- System Identification using State Space Approach: Time Invariant Systems.- System Identification using State Space Approach: Time Varying Systems.- Time Invariant System Identification: via ’Deconvolution’.- System Identification: Parameter Estimation of Transfer Function.