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It is well known that LaSalle's invariance principle, Barbalat's lemma, and other mathematical techniques can be used to solve the adaptive stability problem of integer-order nonlinear systems.
By employing the control Lyapunov function method, a direct adaptive controller is designed to complete the global adaptive stability of the uncertain system.
In this paper, the adaptive stability problem of fractional-order systems has been settled by utilizing the fractional Lyapunov function method combined with fractional inequality techniques, the Mittag-Leffler function, and the Laplace transform.
Although paleoenvironmental data suggest that the landscape of this region evolve gradually from mosaic of forest and open landscapes to diverse and densest forests, zooarchaeological analysis indicates a pattern of adaptive stability that persists throughout the Holocene, characterized by generalist strategies of subsistence focused mainly in forest resources.
The present findings highlight the importance of adequate maternal macronutrient ratios during foetal life to promote the immune competence and adaptive stability of progeny and to improve animal health and welfare.
Both sexual conflict and the existence of sex-specific resource allocation constraints in hermaphrodites can mediate the fitness tradeoff between selfing and outcrossing, which in turn can explain the adaptive stability of partial selfing.
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Thus, the method described in this study is particularly relevant for addressing issues of human adaptive system stability and eco-cultural niche stability.
Then the masking method and adaptive exponential stability were utilized to transmit a pictorial signal.
Although for the combined NMPC with the Lyapunov adaptive law stability is not in general guaranteed, a condition that ensures outperforming a robust control stabilizing law is under development, albeit been obtained in some cases.
Stability analysis and simulation results ensure and verify the desired adaptive control system stability and tracking performance.
Also the gains of the sliding mode control (SMC) are made adaptive using the stability conditions of the Lyapunov function.
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