An iteration formula for Lyapunov-function construction

A. A. Martynyuk

doi:10.1007/bf01086816

An iteration formula for Lyapunov-function construction

Ukrainian Mathematical Journal ◽

10.1007/bf01086816 ◽

1973 ◽

Vol 24 (2) ◽

pp. 211-216

Author(s):

A. A. Martynyuk

Keyword(s):

Lyapunov Function ◽

Iteration Formula ◽

Function Construction

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Lyapunov function construction for a power system including induction machine dynamic characteristics

Electrical Engineering in Japan ◽

10.1002/eej.10372 ◽

2005 ◽

Vol 151 (1) ◽

pp. 34-42 ◽

Cited By ~ 2

Author(s):

Atsushi Ishigame ◽

Tsuneo Taniguchi

Keyword(s):

Lyapunov Function ◽

Power System ◽

Dynamic Characteristics ◽

Induction Machine ◽

Function Construction

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An iterative method of Lyapunov function construction for differential inclusions

Systems & Control Letters ◽

10.1016/0167-6911(87)90085-5 ◽

1987 ◽

Vol 8 (5) ◽

pp. 445-451 ◽

Cited By ~ 44

Author(s):

V.A Kamenetskiy ◽

Ye.S Pyatnitskiy

Keyword(s):

Lyapunov Function ◽

Iterative Method ◽

Differential Inclusions ◽

Function Construction

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Numerical methods of Lyapunov function construction and their application to the absolute stability problem

Systems & Control Letters ◽

10.1016/s0167-6911(82)80023-6 ◽

1982 ◽

Vol 2 (2) ◽

pp. 130-135 ◽

Cited By ~ 32

Author(s):

Ye.S. Pyatnitskiy ◽

V.I. Skorodinskiy

Keyword(s):

Numerical Methods ◽

Lyapunov Function ◽

Stability Problem ◽

Absolute Stability ◽

The Absolute ◽

Function Construction ◽

Absolute Stability Problem

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Backstepping-Based Lyapunov Function Construction Using Approximate Dynamic Programming and Sum of Square Techniques

IEEE Transactions on Cybernetics ◽

10.1109/tcyb.2016.2574747 ◽

2016 ◽

pp. 1-11 ◽

Cited By ~ 10

Author(s):

Zheng Wang ◽

Xiaoping Liu ◽

Kefu Liu ◽

Shuai Li ◽

Huanqing Wang

Keyword(s):

Dynamic Programming ◽

Lyapunov Function ◽

Approximate Dynamic Programming ◽

Function Construction

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Lyapunov function construction by linear programming

IEEE Transactions on Automatic Control ◽

10.1109/9.599986 ◽

1997 ◽

Vol 42 (7) ◽

pp. 1013-1016 ◽

Cited By ~ 36

Author(s):

A. Polanski

Keyword(s):

Linear Programming ◽

Lyapunov Function ◽

Function Construction

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Lyapunov function construction for a class of discrete time-varying systems

IEEE Transactions on Automatic Control ◽

10.1109/tac.1969.1099273 ◽

1969 ◽

Vol 14 (5) ◽

pp. 595-595

Author(s):

J. Moore ◽

K. Sun

Keyword(s):

Lyapunov Function ◽

Discrete Time ◽

Time Varying ◽

Time Varying Systems ◽

Function Construction

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On a triangle inequality used in Lyapunov function construction

IEEE Transactions on Automatic Control ◽

10.1109/tac.1972.1100127 ◽

1972 ◽

Vol 17 (5) ◽

pp. 721-721

Author(s):

J. George ◽

C. Martin ◽

W. Sutton

Keyword(s):

Lyapunov Function ◽

Triangle Inequality ◽

Function Construction

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Lyapunov function construction for ordinary differential equations with linear programming

Dynamical Systems ◽

10.1080/0268111011011847 ◽

2002 ◽

Vol 17 (2) ◽

pp. 137-150 ◽

Cited By ~ 32

Author(s):

SigurÐur F. Marinósson

Keyword(s):

Linear Programming ◽

Lyapunov Function ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Function Construction

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Lyapunov function construction for nonlinear stochastic dynamical systems

Nonlinear Dynamics ◽

10.1007/s11071-013-0757-3 ◽

2013 ◽

Vol 72 (4) ◽

pp. 853-864 ◽

Cited By ~ 7

Author(s):

Q. Ling ◽

X. L. Jin ◽

Y. Wang ◽

H. F. Li ◽

Z. L. Huang

Keyword(s):

Dynamical Systems ◽

Lyapunov Function ◽

Stochastic Dynamical Systems ◽

Function Construction

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A Lyapunov Function Construction for a Non-convex Douglas–Rachford Iteration

Journal of Optimization Theory and Applications ◽

10.1007/s10957-018-1405-3 ◽

2018 ◽

Vol 180 (3) ◽

pp. 729-750

Author(s):

Ohad Giladi ◽

Björn S. Rüffer

Keyword(s):

Lyapunov Function ◽

Function Construction

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