Fixed-time stabilisation for switched stochastic nonlinear systems with asymmetric output constraints

2020 ◽  
pp. 1-13
Author(s):  
Zhibao Song ◽  
Ping Li
Keyword(s):  
Nonlinear Systems ◽  
Fixed Time ◽  
Stochastic Nonlinear Systems ◽  
Output Constraints

Fixed-time stability theorem of stochastic nonlinear systems

2018 ◽  
Vol 92 (9) ◽  
pp. 2194-2200 ◽  
Author(s):  
Jiaju Yu ◽  
Shuanghe Yu ◽  
Juan Li ◽  
Yan Yan
Keyword(s):  
Nonlinear Systems ◽  
Fixed Time ◽  
Stability Theorem ◽  
Stochastic Nonlinear Systems ◽  
Time Stability

scholarly journals Finite-Time Stabilization for p-Norm Stochastic Nonlinear Systems with Output Constraints

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
Shijun Guan ◽  
Liandi Fang
Keyword(s):  
Nonlinear Systems ◽  
Finite Time ◽  
Control Algorithm ◽  
Stochastic Nonlinear Systems ◽  
Rigorous Analysis ◽  
Finite Time Stability ◽  
Continuous State ◽  
Output Constraints ◽  
System Output ◽  
Output Constraint

This paper investigates the finite-time stability problem of p-norm stochastic nonlinear systems subject to output constraint. To cope with the constraint on system output, a tan-type barrier Lyapunov function (BLF) is constructed. By using the constructed BLF and the backstepping technique, a new control algorithm is proposed with a continuous state-feedback controller being designed, which guarantees not only that the requirement of output constraint is always achieved but also that the origin of the system is finite-time stable. This result is demonstrated by both the rigorous analysis and the simulation example.

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