Reachable Set Bounding for a Class of Nonlinear Time-Varying Systems with Delay

Xingao Zhu, Yuangong Sun and Fanwei Meng

Advances in Mathematical Physics, 2018, vol. 2018, 1-7

Abstract:

We investigate the problem of reachable set bounding for a class of continuous-time and discrete-time nonlinear time-varying systems with time-varying delay. Unlike some preceding works, the involved disturbance input and time-varying delay are not assumed to be bounded. By employing an approach which does not involve the conventional Lyapunov-Krasovskii functional, new conditions are proposed such that all the state trajectories of the system converge asymptotically within a ball. Two illustrative examples are also given to show the effectiveness of the obtained results.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:7308476

DOI: 10.1155/2018/7308476

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