Novel stability conditions of linear time-varying impulsive positive systems based on indefinite Lyapunov functions *

2021 ◽  
Author(s):  
Niankun Zhang ◽  
Peilong Yu ◽  
Yu Kang ◽  
Qianqian Zhang
Keyword(s):  
Lyapunov Functions ◽  
Linear Time ◽  
Stability Conditions ◽  
Time Varying ◽  
Positive Systems

scholarly journals An LMI Approach to Stability for Linear Time-Varying System with Nonlinear Perturbation on Time Scales

2011 ◽  
Vol 2011 ◽  
pp. 1-15 ◽  
Author(s):  
Kanit Mukdasai ◽  
Piyapong Niamsup
Keyword(s):  
Time Scales ◽  
Lyapunov Functions ◽  
Linear Time ◽  
Sufficient Conditions ◽  
Lyapunov Stability Theory ◽  
Nonlinear Perturbation ◽  
Uniform Stability ◽  
Time Varying ◽  
Lmi Approach ◽  
Theoretical Results

We consider Lyapunov stability theory of linear time-varying system and derive sufficient conditions for uniform stability, uniform exponential stability, -uniform stability, andh-stability for linear time-varying system with nonlinear perturbation on time scales. We construct appropriate Lyapunov functions and derive several stability conditions. Numerical examples are presented to illustrate the effectiveness of the theoretical results.

Lyapunov Functions for Linear Time-varying Systems

1975 ◽  
Vol 21 (8) ◽  
pp. 403-405
Author(s):  
R. Gangopadhyay ◽  
A. K. Mandal
Keyword(s):  
Lyapunov Functions ◽  
Linear Time ◽  
Time Varying ◽  
Time Varying Systems
Sign in / Sign up

Export Citation Format

Share Document