Finite-Time Stability and Control

2014 ◽  
Author(s):  
Francesco Amato ◽  
Roberto Ambrosino ◽  
Marco Ariola ◽  
Carlo Cosentino ◽  
Gianmaria De Tommasi
Keyword(s):  
Finite Time ◽  
Time Stability ◽  
Finite Time Stability ◽  
Stability And Control ◽  
And Control

scholarly journals Finite-Time Stability Analysis and Control for a Class of Stochastic Singular Biological Economic Systems Based on T-S Fuzzy Model

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Shuangyun Xing ◽  
Qingling Zhang ◽  
Yi Zhang
Keyword(s):  
Finite Time ◽  
Fuzzy Systems ◽  
Sufficient Conditions ◽  
Fuzzy Model ◽  
Economic Systems ◽  
Time Stability ◽  
Control Approach ◽  
Finite Time Stability ◽  
Stability And Control ◽  
And Control

This paper studies the problem of finite-time stability and control for a class of stochastic singular biological economic systems. It shows that such systems exhibit the distinct dynamic behavior when the economic profit is a variable rather than a constant. Firstly, the stochastic singular biological economic systems are established as fuzzy models based on T-S fuzzy control approach. These models are described by stochastic singular T-S fuzzy systems. Then, novel sufficient conditions of finite-time stability are obtained for the stochastic singular biological economic systems, and the state feedback controller is designed so that the population (state of the systems) can be driven to the bounded range by the management of the open resource. Finally, by using Matlab software, numerical examples are given to illustrate the effectiveness of the obtained results.

scholarly journals Finite-Time Optimization Stabilization for a Class of Constrained Switched Nonlinear Systems

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Baili Su ◽  
Dandan Chunyu
Keyword(s):  
Nonlinear Systems ◽  
Finite Time ◽  
Switched Nonlinear Systems ◽  
Region Of Attraction ◽  
Time Stability ◽  
Finite Time Stability ◽  
System A ◽  
Time Optimization ◽  
Switched Nonlinear System ◽  
And Control

This paper studies the finite-time stability problem of a class of switched nonlinear systems with state constraints and control constrains. For each subsystem, optimization controller is designed by choosing the appropriate Lyapunov function to stabilize the subsystem in finite time and the estimation of the region of attraction can be prescribed. For the whole switched nonlinear system, a suitable switched law is designed to ensure the following: (1) at the time of the transition, Lyapunov function’s value of the switched-in subsystem being less than the value of the last subsystem; (2) the finite-time stability of the whole close-loop system. Finally, a simulation example is used to verify the effectiveness of the proposed algorithm.

Sign in / Sign up

Export Citation Format

Share Document