Stability analysis of nonlinear systems via piecewise linear Lyapunov functions

2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353) ◽

10.1109/iscas.2000.856295 ◽

2002 ◽

Author(s):

Y. Ohta ◽

K. Yamamoto

Keyword(s):

Stability Analysis ◽

Nonlinear Systems ◽

Lyapunov Functions ◽

Piecewise Linear ◽

Linear Lyapunov Functions

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Stability analysis of discontinuous nonlinear systems via piecewise linear Lyapunov functions

Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148) ◽

10.1109/acc.2001.945751 ◽

2001 ◽

Author(s):

Y. Ohta ◽

T. Wada ◽

D.D. Siljak

Keyword(s):

Stability Analysis ◽

Nonlinear Systems ◽

Lyapunov Functions ◽

Piecewise Linear ◽

Linear Lyapunov Functions

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Stability analysis by using piecewise linear Lyapunov functions

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)56353-3 ◽

1999 ◽

Vol 32 (2) ◽

pp. 2083-2088

Author(s):

Yuzo Ohta ◽

Michio Onishi

Keyword(s):

Stability Analysis ◽

Lyapunov Functions ◽

Piecewise Linear ◽

Linear Lyapunov Functions

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Performance of Multiclass Markovian Queueing Networks Via Piecewise Linear Lyapunov Functions

10.1214/aoap/1015345407 ◽

2001 ◽

Vol 11 (4) ◽

pp. 1384-1428 ◽

Author(s):

Dimitris Bertsimas ◽

David Gamarnik ◽

John N. Tsitsiklis

Keyword(s):

Queueing Networks ◽

Lyapunov Functions ◽

Piecewise Linear ◽

Linear Lyapunov Functions ◽

Markovian Queueing Networks

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Stability analysis of uncertain piecewise linear systems using Piecewise Quadratic Lyapunov Functions

2010 IEEE International Symposium on Intelligent Control ◽

10.1109/isic.2010.5612880 ◽

2010 ◽

Author(s):

Yuzo Ohta ◽

Hisashi Yokoyama

Keyword(s):

Stability Analysis ◽

Linear Systems ◽

Lyapunov Functions ◽

Piecewise Linear ◽

Piecewise Linear Systems ◽

Quadratic Lyapunov Functions

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Stability Analysis for A Class of Nonlinear Systems via State-dependent Lyapunov Functions

2019 Chinese Control Conference (CCC) ◽

10.23919/chicc.2019.8865504 ◽

2019 ◽

Author(s):

JianLiang Chen ◽

XiaoHui Chen ◽

Yong-Yan Cao

Keyword(s):

Stability Analysis ◽

Nonlinear Systems ◽

Lyapunov Functions ◽

State Dependent

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Computing Resilience Of Interconnected Systems By Piecewise Linear Lyapunov Functions

ECMS 2020 Proceedings edited by Mike Steglich, Christian Mueller, Gaby Neumann, Mathias Walther ◽

10.7148/2020-0345 ◽

2020 ◽

Author(s):

Alberto Tacchella ◽

Armando Tacchella

Keyword(s):

Lyapunov Functions ◽

Piecewise Linear ◽

Interconnected Systems ◽

Linear Lyapunov Functions

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Robust Stabilization of Control Systems Using Piecewise Linear Lyapunov Functions and Evolutionary Algorithm

2005 IEEE International Symposium on Circuits and Systems ◽

10.1109/iscas.2005.1465306 ◽

2005 ◽

Author(s):

K. Tagawa ◽

Y. Ohta

Keyword(s):

Evolutionary Algorithm ◽

Control Systems ◽

Lyapunov Functions ◽

Piecewise Linear ◽

Robust Stabilization ◽

Linear Lyapunov Functions

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Vector lyapunov functions and stability analysis of nonlinear systems, V. Lakshmik-antham, V. M. Matrosov and S. Sivasundram, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1991, × + 172 pp. ISBN 0-7923-1152-3, £41

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.4590050107 ◽

1995 ◽

Vol 5 (1) ◽

pp. 67-68

Author(s):

P. C. Parks

Keyword(s):

Stability Analysis ◽

Nonlinear Systems ◽

The Netherlands ◽

Lyapunov Functions ◽

Vector Lyapunov Functions

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Vector Lyapunov functions and stability analysis of nonlinear systems

Mathematics and Computers in Simulation ◽

10.1016/0378-4754(91)90182-3 ◽

1991 ◽

Vol 33 (2) ◽

pp. 182

Author(s):

W.F.A.

Keyword(s):

Stability Analysis ◽

Nonlinear Systems ◽

Lyapunov Functions ◽

Vector Lyapunov Functions

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

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/s0161171296000622 ◽

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.

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