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

Autor: Xingao Zhu, Yuangong Sun, Fanwei Meng
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Advances in Mathematical Physics, Vol 2018 (2018)
Druh dokumentu: article
ISSN: 1687-9120
1687-9139
DOI: 10.1155/2018/7308476
Popis: 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.
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