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This particular lecture is all about Lyapunov theory again and then the outline of this particular lecture is like this. First we will go through the this review of Lyapunov theorems then it is we will see that whatever we discussed was the end of last class this is a LaSalles theorem and all. And then we will try to use this LaSalles theorem to something to estimate something called domain of attraction. And any asymptotically stable equilibrium point obviously as a neighborhood about which it cannot attract trajectories. And then particular domain is called domain of attraction is in general not easy to estimate, but once we estimate there are lot of potential usage. Actually, in other words, you can think of like stopping your control x on once the trajectory enters this domain of attraction because that is one of the usage that you can think about actually. So, anyway so let us proceed with that quick review of Lyapunov theorems and some concepts that we discussed last previous
