Dissipation of energy for a dynamical system

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$\textbf{1)}$When I consider a dynamical system what tells me that there is a dissipation of energy?
For instance if I have a RLC circuit and I consider with $E$ the total energy absorbed in a period $[0,t]$ by the network, in order to have dissipation of energy this $E$ should be greater than the variation of energy stored over this period?

$\textbf{2)}$My second question is: can I consider the total power $VI$ that flows into the network such that its integral gives me the total energy $E$?

Thanks in advance.