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It is easily proved, using the mathematical induction on.
The next lemma is proved using the phase spaces axioms.
The last equality can be proved using the polar decomposition.
The closed-loop stability is proved, using the Lyapunov stability theory.
For this control scheme, ultimate boundedness is proved using the pseudo-linearization technique.
The stability and robustness of the proposed controller have been proved using the classic Lyapunov criterion.
Similar(5)
This we prove using the decidability of Skolem Arithmetic.
The stability of the developed controller is proven, using the theory of Lyapunov.
The stability of the closed-loop system is proven using the Lyapunov Krasovskii functions.
The stability of the EASFSC has been proven using the Lyapunov stability theorem.
In addition, the stability of the guidance system is proven using the Lyapunov theorem.
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