Criteria for robust absolute stability of time-varying nonlinear continuous-time systems

@article{Liu2002CriteriaFR,
  title={Criteria for robust absolute stability of time-varying nonlinear continuous-time systems},
  author={Derong Liu and Alexander P. Molchanov},
  journal={Automatica},
  year={2002},
  volume={38},
  pages={627-637}
}
The present paper establishes results for the robust absolute stability of a class of nonlinear continuous-time systems with time-varying matrix uncertainties of polyhedral type and multiple time-varying sector nonlinearities. By using the variational method and the Lyapunov Second Method, criteria for robust absolute stability are obtained in di1erent forms for the given class of systems. Speci2cally, the parametric classes of Lyapunov functions are determined which de2ne the necessary and… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 56 references

Simple criteria for stability of interval matrices

X. Daoyi
International Journal of Control, • 1985
View 5 Excerpts
Highly Influenced

Nonlinear systems

H. K. Khalil
Upper Saddle River, • 1996
View 11 Excerpts
Highly Influenced

Lyapunov functions that specify necessary and su3cient conditions of absolute stability of nonlinear nonstationary control systems, Parts I, II, III

A. P. Molchanov, Y. S. Pyatnitskiy
Automation and Remote Control, • 1986
View 11 Excerpts
Highly Influenced

Stability of Motion

W. Hahn
1967
View 8 Excerpts
Highly Influenced

Some non-linear problems in the theory of automatic control

A. I. e
1957
View 4 Excerpts
Highly Influenced

Stability robustness in linear state-space models with structured time-varying uncertainties

J. S. Luo, X. F. Zhang, A. Johnson
International Journal of Control, • 1994
View 5 Excerpts
Highly Influenced

Robust stability and diagonal Lyapunov functions

E. Kaszkurewicz, A. Bhaya
SIAM Journal on Matrix Analysis and Applications, • 1993
View 5 Excerpts
Highly Influenced

Criteria of asymptotic stability of di1erential and di1erence inclusions encountered in control theory

A. P. Molchanov, Y. S. Pyatnitskiy
Systems & Control Letters, • 1989
View 5 Excerpts
Highly Influenced

Convex analysis

R. T. Rockafellar
1970
View 4 Excerpts
Highly Influenced

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