scholarly journals Periodic event-triggered supervisory control of nonlinear systems: dwell-time switching logic

2018 ◽  
Author(s):  
W. Wang ◽  
D. Nesic ◽  
I. Shames
Keyword(s):  
Nonlinear Systems ◽  
Supervisory Control ◽  
Dwell Time ◽  
Time Switching ◽  
Event Triggered

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 Exponential Stability of Switched Positive Homogeneous Systems

Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-8 ◽  
Author(s):  
Dadong Tian ◽  
Shutang Liu
Keyword(s):  
Nonlinear Systems ◽  
Exponential Stability ◽  
Decay Rate ◽  
Dwell Time ◽  
Vector Fields ◽  
Sufficient Condition ◽  
Time Varying ◽  
Time Switching ◽  
Homogeneous Vector Fields ◽  
Homogeneous Vector

This paper studies the exponential stability of switched positive nonlinear systems defined by cooperative and homogeneous vector fields. In order to capture the decay rate of such systems, we first consider the subsystems. A sufficient condition for exponential stability of subsystems with time-varying delays is derived. In particular, for the corresponding delay-free systems, we prove that this sufficient condition is also necessary. Then, we present a sufficient condition of exponential stability under minimum dwell time switching for the switched positive nonlinear systems. Some results in the previous literature are extended. Finally, a numerical example is given to demonstrate the effectiveness of the obtained results.

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