Reachable set estimation for continuous-time impulsive switched nonlinear time-varying systems with delay and disturbance

2022 ◽  
Vol 420 ◽  
pp. 126910
Author(s):  
Xingao Zhu ◽  
Shutang Liu
Keyword(s):  
Continuous Time ◽  
Reachable Set ◽  
Time Varying ◽  
Set Estimation ◽  
Time Varying Systems ◽  
Reachable Set Estimation

scholarly journals Reachable Set Estimation for a Class of Nonlinear Time-Varying Systems

Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-6 ◽  
Author(s):  
Yuangong Sun ◽  
Fanwei Meng
Keyword(s):  
Decay Rate ◽  
Sufficient Conditions ◽  
Functional Method ◽  
Reachable Set ◽  
Time Varying ◽  
Positive Systems ◽  
Numerical Example ◽  
Set Estimation ◽  
Time Varying Systems ◽  
Reachable Set Estimation

This paper studies the problem of reachable set estimation for a class of nonlinear time-varying systems with disturbances. New necessary and (or) sufficient conditions are derived for the existence of a ball such that all the solutions of the system converge asymptotically within it. Explicit estimation on the decay rate is also presented. The method used in this paper is motivated by that for positive systems, which is different from the conventional Lyapunov-Krasovskii functional method. A numerical example is given to illustrate the effectiveness of the obtained result.

scholarly journals Reachable Set Estimation for Discrete-Time Systems with Interval Time-Varying Delays and Bounded Disturbances

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Jiemei Zhao ◽  
Yin Sheng
Keyword(s):  
Discrete Time ◽  
Reachable Set ◽  
Time Varying ◽  
Time Varying Delay ◽  
Set Estimation ◽  
Discrete Time Systems ◽  
Bounded Disturbances ◽  
Reachable Set Estimation ◽  
Time Systems ◽  
Varying Delay

The reachable set estimation problem for discrete-time systems with delay-range-dependent and bounded disturbances is investigated. A triple-summation term, the upper bound, and the lower bound of time-varying delay are introduced into the Lyapunov function. In this case, an improved delay-range-dependent criterion is established for the addressed problem by constructing the appropriate Lyapunov functional, which guarantees that the reachable set of discrete-time systems with time-varying delay and bounded peak inputs is contained in the ellipsoid. It is worth mentioning that the initial value of the system does not need to be zero. Then, the reachable set estimation problem for time-delay systems with polytopic uncertainties is investigated. The effectiveness and the reduced conservatism of the derived results are demonstrated by an illustrative example.

Reachable Set Estimation for Markovian Jump Neural Networks With Time-Varying Delays

2017 ◽  
Vol 47 (10) ◽  
pp. 3208-3217 ◽  
Author(s):  
Zhaowen Xu ◽  
Hongye Su ◽  
Peng Shi ◽  
Renquan Lu ◽  
Zheng-Guang Wu
Keyword(s):  
Neural Networks ◽  
Reachable Set ◽  
Time Varying ◽  
Markovian Jump ◽  
Set Estimation ◽  
Reachable Set Estimation ◽  
Markovian Jump Neural Networks

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

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Xingao Zhu ◽  
Yuangong Sun ◽  
Fanwei Meng
Keyword(s):  
Discrete Time ◽  
Continuous Time ◽  
The State ◽  
Reachable Set ◽  
Time Varying ◽  
Time Varying Delay ◽  
Time Varying Systems ◽  
Varying Delay

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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