Indefinite derivative Lyapunov–Krasovskii functional method for input to state stability of nonlinear systems with time-delay

2015 ◽  
Vol 270 ◽  
pp. 534-542 ◽  
Author(s):  
Chongyang Ning ◽  
Yong He ◽  
Min Wu ◽  
Shaowu Zhou
Keyword(s):  
Time Delay ◽  
Nonlinear Systems ◽  
Functional Method

Stochastic Admissibility for a Class of Nonlinear Singular Markovian Jump Systems with Time-Delay and Partially Unknown Transition Probabilities

2012 ◽  
Vol 235 ◽  
pp. 254-258 ◽  
Author(s):  
Shao Hua Long ◽  
Shou Ming Zhong
Keyword(s):  
Time Delay ◽  
Transition Probabilities ◽  
Functional Method ◽  
Markovian Jump Systems ◽  
Linear Matrix ◽  
Markovian Jump ◽  
Weighting Matrix ◽  
Singular Markovian Jump Systems ◽  
Jump Systems ◽  
Stochastic Admissibility

The problem of the stochastic admissibility for a class of nonlinear singular Markovian jump systems with time-delay and partially unknown transition probabilities is discussed in this note. The considered singular matrices Er(t) in the discussed system are mode-dependent. By using the free-weighting matrix method and the Lyapunov functional method, a sufficient condition which guarantees the considered system to be stochastically admissible is presented in the form of linear matrix inequalities(LMIs). Finally, a numerical example is given to show the effectiveness of the presented method.

Sampled-data control of a class of time-delay nonlinear systems via memoryless feedback

2021 ◽  
Vol 157 ◽  
pp. 105048
Author(s):  
Xueliang Liu ◽  
Wei Lin ◽  
Congran Zhao ◽  
Yaohua Hu
Keyword(s):  
Time Delay ◽  
Nonlinear Systems ◽  
Sampled Data ◽  
Data Control ◽  
Sampled Data Control
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