Stabilization for a Class of Switched Nonlinear Systems With Novel Average Dwell Time Switching by T–S Fuzzy Modeling

2016 ◽  
Vol 46 (8) ◽  
pp. 1952-1957 ◽  
Author(s):  
Xudong Zhao ◽  
Yunfei Yin ◽  
Ben Niu ◽  
Xiaolong Zheng
Keyword(s):  
Nonlinear Systems ◽  
Dwell Time ◽  
Average Dwell Time ◽  
Fuzzy Modeling ◽  
Switched Nonlinear Systems ◽  
Time Switching ◽  
Average Dwell Time Switching

Finite-Time Input-to-State Stability and Optimization of Switched Nonlinear Systems

2013 ◽  
Vol 135 (4) ◽  
Author(s):  
Xiaoli Wang ◽  
Chuntao Shao
Keyword(s):  
Nonlinear Systems ◽  
Finite Time ◽  
Stability Problem ◽  
Stability Property ◽  
Dwell Time ◽  
Average Dwell Time ◽  
Switched Nonlinear Systems ◽  
Time Switching ◽  
Switched Nonlinear System ◽  
Average Dwell Time Switching

In this paper, we address the (uniform) finite-time input-to-state stability problem for switched nonlinear systems. We prove that a switched nonlinear system has a useful finite-time input-to-state stability property under average dwell-time switching signals if each constituent subsystem has finite-time input-to-state stability. Moreover, we prove the equivalence between the optimal costs for the switched nonlinear systems and for the relaxed differential inclusion.

scholarly journals On Exponential Stabilizability for a Class of Switched Nonlinear Systems with Mixed Time-Varying Delays

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
Jie Qi ◽  
Yuangong Sun
Keyword(s):  
Nonlinear Systems ◽  
Average Dwell Time ◽  
Time Varying ◽  
Switched Nonlinear Systems ◽  
Positive Systems ◽  
Time Switching ◽  
Switched Nonlinear System ◽  
Exponentially Stable ◽  
A New Technique ◽  
Average Dwell Time Switching

We study the exponential stabilizability for a class of switched nonlinear systems with mixed time-varying delays. By using a new technique developed for positive systems, we design the average dwell time switching under which the switched nonlinear system is exponentially stable for any bounded delays. Finally, numerical examples are worked out to illustrate the main theoretical result.

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