Converse Lyapunov Theorem for Nabla Asymptotic Stability Without Conservativeness

IEEE Transactions on Systems Man and Cybernetics Systems ◽

10.1109/tsmc.2021.3051639 ◽

2021 ◽

pp. 1-12

Author(s):

Yiheng Wei ◽

Yangquan Chen

Keyword(s):

Asymptotic Stability ◽

Lyapunov Theorem

Download Full-text

On the inversion of the Lyapunov theorem on asymptotic stability in the first approximation

Doklady Physics ◽

10.1134/1.1631664 ◽

2003 ◽

Vol 48 (11) ◽

pp. 654-656

Author(s):

O. V. Druzhinina

Keyword(s):

Asymptotic Stability ◽

Lyapunov Theorem ◽

First Approximation

Download Full-text

A Converse Lyapunov Theorem for Nonuniform in Time Global Asymptotic Stability and Its Application to Feedback Stabilization

SIAM Journal on Control and Optimization ◽

10.1137/s0363012901392967 ◽

2003 ◽

Vol 42 (3) ◽

pp. 936-965 ◽

Cited By ~ 42

Author(s):

I. Karafyllis ◽

J. Tsinias

Keyword(s):

Asymptotic Stability ◽

Global Asymptotic Stability ◽

Feedback Stabilization ◽

Lyapunov Theorem

Download Full-text

A Converse Lyapunov Theorem and Robustness for Asymptotic Stability in Probability

IEEE Transactions on Automatic Control ◽

10.1109/tac.2014.2322431 ◽

2014 ◽

Vol 59 (9) ◽

pp. 2426-2441 ◽

Cited By ~ 21

Author(s):

Andrew R. Teel ◽

Joao P. Hespanha ◽

Anantharaman Subbaraman

Keyword(s):

Asymptotic Stability ◽

Lyapunov Theorem ◽

Stability In Probability ◽

Asymptotic Stability In Probability

Download Full-text

A constructive converse Lyapunov theorem on asymptotic stability for nonlinear autonomous ordinary differential equations

Dynamical Systems ◽

10.1080/14689360500164873 ◽

2005 ◽

Vol 20 (3) ◽

pp. 281-299 ◽

Cited By ~ 15

Author(s):

S. F. Hafstein *

Keyword(s):

Asymptotic Stability ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Lyapunov Theorem

Download Full-text

A converse Lyapunov theorem for semiglobal practical asymptotic stability and application to cascades-based control

Proceedings of the 45th IEEE Conference on Decision and Control ◽

10.1109/cdc.2006.377364 ◽

2006 ◽

Cited By ~ 5

Author(s):

Antoine Chaillet ◽

Antonio Loria

Keyword(s):

Asymptotic Stability ◽

Lyapunov Theorem

Download Full-text

Global Asymptotic Stability of Dynamic Dissipative Compensators for Multibody Flexible Space Structures

1993 American Control Conference ◽

10.23919/acc.1993.4793075 ◽

1993 ◽

Author(s):

Atul G. Kelkar ◽

Suresh M. Joshi ◽

Thomas E. Alberts

Keyword(s):

Asymptotic Stability ◽

Global Asymptotic Stability ◽

Space Structures ◽

Flexible Space Structures

Download Full-text

Flow-invariant rectangular sets and componentwise asymptotic stability of interval matrix systems

1999 European Control Conference (ECC) ◽

10.23919/ecc.1999.7099356 ◽

1999 ◽

Cited By ~ 3

Author(s):

O. Pastravanu ◽

M. Voicu

Keyword(s):

Asymptotic Stability ◽

Interval Matrix

Download Full-text

Uniform asymptotic stability of non-autonomous parameterized discrete-time cascades: A case study

2003 European Control Conference (ECC) ◽

10.23919/ecc.2003.7086526 ◽

2003 ◽

Author(s):

Antonio Loria ◽

Dragan Nesic

Keyword(s):

Asymptotic Stability ◽

Discrete Time ◽

Uniform Asymptotic Stability

Download Full-text

An application of Rantzer's dual Lyapunov Theorem to decentralized formation stabilization

2007 European Control Conference (ECC) ◽

10.23919/ecc.2007.7068556 ◽

2007 ◽

Cited By ~ 1

Author(s):

Dimos V. Dimarogonas ◽

Kostas J. Kyriakopoulos

Keyword(s):

Lyapunov Theorem

Download Full-text

Asymptotic stability of solutions to quasi-geostrophic equation

Bulletin of the Belgian Mathematical Society - Simon Stevin ◽

10.36045/bbms/1503453705 ◽

2017 ◽

Vol 24 (2) ◽

pp. 189-198

Author(s):

Dominika Pilarczyk

Keyword(s):

Asymptotic Stability ◽

Stability Of Solutions

Download Full-text