Interval extensions of non-smooth functions for global optimization and nonlinear systems solvers

Computing ◽  
1996 ◽  
Vol 57 (2) ◽  
pp. 149-162 ◽  
Author(s):  
R. Baker Kearfott
Keyword(s):  
Global Optimization ◽  
Nonlinear Systems ◽  
Smooth Functions ◽  
Interval Extensions

scholarly journals Fuzzy-based adaptive asymptotic tracking control design for uncertain MIMO nonlinear systems with state constraints

2021 ◽  
Author(s):  
Yongchao Liu ◽  
Qidan Zhu
Keyword(s):  
Nonlinear Systems ◽  
Tracking Control ◽  
State Constraints ◽  
Estimation Method ◽  
Fuzzy Logic Systems ◽  
Smooth Functions ◽  
Restrictive Assumption ◽  
Mimo Nonlinear Systems ◽  
Asymptotic Tracking ◽  
The Stability

Abstract This article concentrates on designing an adaptive fuzzy asymptotic tracking control strategy for uncertain multi-input and multi-output (MIMO) nonlinear systems with state constraints and unknown virtual control coefficients (UVCCs). Such design apply the fuzzy logic systems to approximate unknown dynamics, and an asymptotic controller is recursively constructed by employing a bound estimation method and some smooth functions. The predefined state constrains are guaranteed by virtue of barrier Lyapunov function. Different from the reporting achievements, the restrictive assumption about the prior knowledge of UVCCs is removed in our context. By fusing the lower bounds of UVCCs into iterative Lyapunov functions, the stability of the controlled system is guaranteed. Finally, simulation example is conducted to exhibit the validity of theoretical findings.

Global Optimization

1993 ◽  
Author(s):  
Reiner Horst ◽  
Hoang Tuy
Keyword(s):  
Global Optimization

Probability Models in Global Optimization

Informatica ◽  
2016 ◽  
Vol 27 (2) ◽  
pp. 323-334 ◽  
Author(s):  
James M. Calvin
Keyword(s):  
Global Optimization ◽  
Probability Models
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