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Then, the overall stability is achieved using the small gain theorem.
Stability of the overall system is guaranteed using the small gain theorem.
Using the small gain theorem, the system stability radius is obtained for n slow time varying sinusoidal disturbances.
A pole-placement method is used to design the controller and an analysis of the stability robustness is performed using the small gain theorem.
A sufficient BIBO stability condition is derived for the closed-loop NCS by using the small gain theorem and the average dwell time technique.
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Stability analysis of the lattice hydrodynamic model with the control signal is performed using the small gains theorem to obtain the stability condition.
Second, robustness to dynamic uncertainties is tackled using the small-gain theory.
A more general view that encompasses also the driving processes u k into the worst-case scenarios and aims directly at the convergence or divergence of the parameter-error vector (tilde {{mathbf {w}}}_{k}) is proposed in [52] where a similar argument to robustness is employed but instead of using the small-gain theorem, the sub-multiplicative property of norms in the context of SVD is applied.
Robust stability of the adaptive vibration control system is guaranteed by using the L1 small gain theorem.
By transforming the augmented system into an input-output form consisting of two interconnected subsystems, the design condition of the piecewise fuzzy diagnostic observer is obtained by using the scaled small gain (SSG) theorem and a piecewise Lyapunov-Krasovskii functional.
Robust theoretic approach based on the Small Gain Theorem is used to develop a frequency domain condition for closed-loop stability of the multi-model plant in all operation modes as well as stability during switching between individual controllers.
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