Stability analysis of nonlinear singular time-delay systems based on Hamiltonian functional method

In this paper, the problem of stability analysis for a class of general nonlinear singular time-delay systems is studied by using Hamiltonian functional method. Firstly, the equivalent singular delay Hamiltonian form of the original system is established by using the Hamiltonian implementation method. Then, based on the equivalent Hamiltonian form and strict equivalent method of the system, the singular delay Hamiltonian system is transformed into a singular delay Hamiltonian differential algebraic form, and an appropriate Lyapunov function is constructed to analyze the stability of the system.