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In some systems the existence of established means of changing political leaderships works to prevent violent types of political action.
Previous works of the authors have shown that for linear systems the existence of an UIO is equivalent to the possibility of rendering the plant dissipative by output injection.
Besides these general bounds for general systems, the existence of limit cycles and the related problem of centers and foci have also been studied for some specific systems such as cubic ones.
For chaotic systems, the existence of the parameter β is natural.
Note that for second order systems the existence and evaluation of common nondiagonal matrix solutions to the Lyapunov inequalities have been considered in [15, 16].
For Lipschitz nonlinear systems, the existence conditions of the full-order as well as the reduce-order observers were established in Rajamani [3] and Zhu and Han [4], respectively.
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In Madhva's system the existence of God cannot be proved; it can be learned only from the scriptures.
For the latter reaction system, the existence of reactive arheotrope is demonstrated.
Studying the latter system, the existence of one of the chaotic attractors, namely of Lorenz attractor is established.
But apart from this political power system, the existence of a monarchy which doles out peerages, bish oprics and a full range of honours effectively preserves a feudal class system which keeps everyone in their place.
Although estrogen also plays important roles in the central nervous system, the existence and regulatory mechanism of alternatively spliced ER-α mRNA expression has remained unclear.
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