Liapunov functions: Geometry and stability

Journal of Mathematical Biology ◽

10.1007/bf00280583 ◽

1979 ◽

Vol 8 (1) ◽

pp. 25-32 ◽

Cited By ~ 3

Author(s):

S. D. Tuljapurkar ◽

J. S. Semura

Keyword(s):

Liapunov Functions

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Perceptron training algorithms designed using discrete-time control Liapunov functions

Neurocomputing ◽

10.1016/j.neucom.2009.03.007 ◽

2009 ◽

Vol 72 (13-15) ◽

pp. 3131-3137 ◽

Cited By ~ 6

Author(s):

Oumar Diene ◽

Amit Bhaya

Keyword(s):

Discrete Time ◽

Training Algorithms ◽

Liapunov Functions ◽

Time Control

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Stability of polytopic systems via convex M-matrices and parameter-dependent Liapunov functions

Nonlinear Analysis ◽

10.1016/s0362-546x(00)85036-1 ◽

2000 ◽

Vol 40 (1-8) ◽

pp. 589-609 ◽

Cited By ~ 13

Author(s):

D.M. Stipanović ◽

D.D. Šiljak

Keyword(s):

Liapunov Functions ◽

Polytopic Systems ◽

Parameter Dependent

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Correction of the paper by l. hatványi entitled “on certain indications of stability with two liapunov functions”, PMM vol. 39, n≗1, 1975

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(76)90058-7 ◽

1976 ◽

Vol 40 (2) ◽

pp. 229

Keyword(s):

Liapunov Functions

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Liapunov Functions and Global Existence without Uniqueness

Proceedings of the American Mathematical Society ◽

10.2307/2036646 ◽

1970 ◽

Vol 25 (3) ◽

pp. 571

Author(s):

Stephen R. Bernfeld

Keyword(s):

Global Existence ◽

Liapunov Functions

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Families of Liapunov Functions for Nonlinear Systems in Critical Cases

10.21236/ada454841 ◽

1990 ◽

Author(s):

Jyun-Horng Fu ◽

Eyad H. Abed

Keyword(s):

Nonlinear Systems ◽

Liapunov Functions

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Limit cycle construction using Liapunov functions

IEEE Transactions on Automatic Control ◽

10.1109/tac.1965.1098074 ◽

1965 ◽

Vol 10 (1) ◽

pp. 97-99 ◽

Cited By ~ 8

Author(s):

R. Goldwyn ◽

K. Cox

Keyword(s):

Limit Cycle ◽

Liapunov Functions

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Perturbing Liapunov functions and Lagrange stability in terms of two measures

Applied Mathematics and Computation ◽

10.1016/0096-3003(88)90080-x ◽

1988 ◽

Vol 28 (4) ◽

pp. 329-336

Author(s):

M. Rama Mohana Rao ◽

S. Sivasundaram

Keyword(s):

Lagrange Stability ◽

Liapunov Functions ◽

Two Measures

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Improving Transient Performance of Nussbaum Gain-based Controllers with Barrier Liapunov Functions

Software Engineering / 781: Control Applications ◽

10.2316/p.2012.781-037 ◽

2012 ◽

Cited By ~ 2

Author(s):

Haris E. Psillakis

Keyword(s):

Transient Performance ◽

Liapunov Functions

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Liapunov Functions and Comparison Theorems

International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics ◽

10.1016/b978-0-12-395651-4.50046-5 ◽

1963 ◽

pp. 435-441 ◽

Cited By ~ 3

Author(s):

FRED BRAUER

Keyword(s):

Comparison Theorems ◽

Liapunov Functions

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An Invariance Principle for Vector Liapunov Functions

Dynamical Systems ◽

10.1016/b978-0-12-164902-9.50061-7 ◽

1976 ◽

pp. 291-295

Author(s):

JOSEPH P. LASALLE ◽

E.N. ONWUCHEKWA

Keyword(s):

Invariance Principle ◽

Liapunov Functions

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