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  3. Volume 5, Number 1, 2015
  4. Analysis of positivity and stability of discrete-time and continuous-time nonlinear systems

Analysis of positivity and stability of discrete-time and continuous-time nonlinear systems

JCPEE.
2015;
Volume 5, Number 1
: pp. 11-16
Authors:
  1. Tadeusz Kaczorek
1
Białystok University of Technology

The positivity and asymptotic stability of discrete-time and continuous-time nonlinear systems are addressed. Sufficient conditions for the positivity and asymptotic stability of the nonlinear systems are established. The proposed stability tests are based on an extension of the Lyapunov method to the positive nonlinear systems. The effectiveness of the tests are demonstrated on examples.

Positive
discrete-time
asymptotic stability
nonlinear
Lyapunov method
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