Finite-time adaptive robust simultaneous stabilization of nonlinear delay systems by the Hamiltonian

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Dear editor,rnThe study of nonlinear time-delay systems made great progress in the past few decades[1]and some effective meth-ods were presented for special systems such as the approxi-mate linear method,sum of squares decomposition method,and nonlinear matrix inequality method.Furthermore,as there exists an uncertainty and failure mode,the simulta-neous stabilization problem attracted the attention of some scholars and some results were obtained[2].The obtained results are infinite-time rather than finite-time ones.Differ-ent from the infinite-time results,the finite-time closed-loop system can reach zero within a finite-time interval,which im-plies that it has faster convergence and better robustness[3].Because of these,in a recent article[4],the authors extended the finite-time issue to a simultaneous stabilization problem for a port-controlled Hamiltonian (PCH) system and pre-sented some finite-time simultaneous stabilization results on the PCH system without delay.
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