Lipschitz Stability Analysis on a Type of Nonlinear Perturbed System

2018 ◽  
pp. 179-191
Author(s):  
Shuli Guo ◽  
Lina Han
Keyword(s):  
Stability Analysis ◽  
Lipschitz Stability ◽  
Perturbed System

scholarly journals Cone valued Lyapunov functions and Lipschitz stability of nonlinear systems of differential equations

1996 ◽  
Vol 19 (3) ◽  
pp. 435-440
Author(s):  
Olusola Akinyele
Keyword(s):  
Stability Analysis ◽  
Nonlinear Systems ◽  
Differential Equations ◽  
Lyapunov Functions ◽  
Practical Stability ◽  
Lipschitz Stability ◽  
Comparison Result ◽  
Systems Of Differential Equations ◽  
New Concepts ◽  
Perturbed Systems

We introduce a new comparison result which will be an important tool when we apply cone valued Lyapunov like functions. We also introduce new concepts ofϕ0-uniform Lipschitz stability and(λ,λ,ϕ0)-practical stability and employ our comparison result to carry out stability analysis of nonlinear systems. Our results are also applicable to nonlinear perturbed systems.

scholarly journals Stability analysis of nonlinear Lyapunov systems associated with an nth order system of matrix differential equations

2002 ◽  
Vol 15 (2) ◽  
pp. 141-150
Author(s):  
K. N. Murty ◽  
Michael D. Shaw
Keyword(s):  
Stability Analysis ◽  
Sufficient Conditions ◽  
Order System ◽  
Lipschitz Stability ◽  
Differential Systems ◽  
Variation Of Parameters ◽  
Order Matrix ◽  
Matrix Differential Equations ◽  
Variation Of Parameters Formula ◽  
Matrix Differential

This paper introduces the notion of Lipschitz stability for nonlinear nth order matrix Lyapunov differential systems and gives sufficient conditions for Lipschitz stability. We develop variation of parameters formula for the solution of the nonhomogeneous nonlinear nth order matrix Lyapunov differential system. We study observability and controllability of a special system of nth order nonlinear Lyapunov systems.

Sign in / Sign up

Export Citation Format

Share Document