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

Author

Listed:
  • Xingao Zhu
  • Yuangong Sun
  • Fanwei Meng

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.

Suggested Citation

  • Xingao Zhu & Yuangong Sun & Fanwei Meng, 2018. "Reachable Set Bounding for a Class of Nonlinear Time‐Varying Systems with Delay," Advances in Mathematical Physics, John Wiley & Sons, vol. 2018(1).
    • Handle: RePEc:wly:jnlamp:v:2018:y:2018:i:1:n:7308476
    DOI: 10.1155/2018/7308476
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    References listed on IDEAS

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    1. Li, Yanan & Sun, Yuangong & Meng, Fanwei & Tian, Yazhou, 2018. "Exponential stabilization of switched time-varying systems with delays and disturbances," Applied Mathematics and Computation, Elsevier, vol. 324(C), pages 131-140.
    2. Yuangong Sun & Zhaorong Wu & Fanwei Meng, 2018. "Common Weak Linear Copositive Lyapunov Functions for Positive Switched Linear Systems," Complexity, Hindawi, vol. 2018, pages 1-7, February.
    3. Ren, Hangli & Zong, Guangdeng & Hou, Linlin & Yi, Yang, 2016. "Finite-time control of interconnected impulsive switched systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 276(C), pages 143-157.
    4. Yuangong Sun & Fanwei Meng, 2017. "Reachable Set Estimation for a Class of Nonlinear Time-Varying Systems," Complexity, Hindawi, vol. 2017, pages 1-6, July.
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