Finite-time input-to-state stability of nonlinear systems: the discrete-time case

Shuang Liang and Jinling Liang

International Journal of Systems Science, 2023, vol. 54, issue 3, 583-593

Abstract: This paper extends the finite-time input-to-state stability (FTISS) issue to the discrete-time dynamical systems. Based on the Lyapunov method, sufficient conditions are derived to check the FTISS property of the discrete-time nonlinear systems with inputs. In addition, the generalised class- $ \mathcal {KL} $ KL functions and the settling-time function capturing the finite settling-time behaviour of the dynamical system are constructed explicitly and well studied. In the end of the paper, a numerical example is provided to illustrate the feasibility/effectiveness of the obtained results.

Date: 2023
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DOI: 10.1080/00207721.2022.2135418

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