Adaptive Neural Networks Control for Markov Jump Nonlinear Systems with Nonstrict-Feedback Form and Uncertain Transition Rate

2020 ◽  
Author(s):  
Boqiang Cao ◽  
Xiaobing Nie
Keyword(s):  
Neural Networks ◽  
Nonlinear Systems ◽  
Transition Rate ◽  
Markov Jump ◽  
Feedback Form ◽  
Adaptive Neural Networks

scholarly journals Neural Network Based Finite-Time Stabilization for Discrete-Time Markov Jump Nonlinear Systems with Time Delays

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Fei Chen ◽  
Fei Liu ◽  
Hamid Reza Karimi
Keyword(s):  
Neural Networks ◽  
Nonlinear Systems ◽  
Discrete Time ◽  
Finite Time ◽  
Time Delays ◽  
Sufficient Conditions ◽  
Space Representation ◽  
Linear Matrix ◽  
Markov Jump ◽  
Finite Time Stabilization

This paper deals with the finite-time stabilization problem for discrete-time Markov jump nonlinear systems with time delays and norm-bounded exogenous disturbance. The nonlinearities in different jump modes are parameterized by neural networks. Subsequently, a linear difference inclusion state space representation for a class of neural networks is established. Based on this, sufficient conditions are derived in terms of linear matrix inequalities to guarantee stochastic finite-time boundedness and stochastic finite-time stabilization of the closed-loop system. A numerical example is illustrated to verify the efficiency of the proposed technique.

Sign in / Sign up

Export Citation Format

Share Document