Title :
Positivity and stability of discrete-time nonlinear systems
Author :
Kaczorek, Tadeusz
Author_Institution :
Fac. of Electr. Eng., Bialystok Univ. of Technol., Bialystok, Poland
Abstract :
The positivity and asymptotic stability of the discrete-time nonlinear systems are addressed. Necessary and sufficient conditions for the positivity of the systems and sufficient conditions for asymptotic stability of the positive systems are established. The proposed stability tests are based on Lyapunov method. The effectiveness of the tests are demonstrated on examples.
Keywords :
Lyapunov methods; asymptotic stability; discrete time systems; nonlinear systems; Lyapunov method; asymptotic stability; discrete-time nonlinear system; positivity; Asymptotic stability; Linear systems; Lyapunov methods; Nonlinear systems; Stability analysis; Sufficient conditions; Time-varying systems; Lyapunov method; asymptotic stability; discrete-time; nonlinear; positive;
Conference_Titel :
Cybernetics (CYBCONF), 2015 IEEE 2nd International Conference on
Conference_Location :
Gdynia
Print_ISBN :
978-1-4799-8320-9
DOI :
10.1109/CYBConf.2015.7175924
