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Hamzaoui, Abdelfettah; Taieb, Nizar Hadj; Hammami, Mohamed Ali

Practical partial stability of time-varying systems. (English) Zbl 1507.34060

Discrete Contin. Dyn. Syst., Ser. B 27, No. 7, 3585-3603 (2022).
The authors investigate the practical asymptotic and exponential partial stability of time-varying nonlinear systems, and a more general converse theorem to guarantee the practical exponential partial stability of such systems is presented by using the Lyapunov theory. Furthermore, the practical uniform asymptotic and exponential partial stability of some classes of perturbed systems are discussed based on a practical scalar function, and some illustrate examples are given to verify the established results.
Reviewer: Peiguang Wang (Baoding)

Cited in 2 Documents

MSC:

34D20 Stability of solutions to ordinary differential equations
37C60 Nonautonomous smooth dynamical systems

Keywords:

Lyapunov theory; perturbed systems; practical partial stability
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References:

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