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Hi everyone my name is Claire Tomlin and Iamp;#39;m a professor of Electrical Engineering and computer sciences at Berkeley and this is the eighteenth module in a series that weamp;#39;re recording to support the course linear system theory EECS 221 a at Berkeley in this module weamp;#39;re going to introduce what is called the state transition matrix weamp;#39;re going to use that to define and/or construct and then show what the solution to a linear time varying system in terms of a vector differential equation that we discussed in the last module is and so we recall from our last module that we introduced the module 17 that we introduced the concept of a differential equation X dot is equal to a of T X of T plus B of T U at T with some initial condition X of T 0 is equal to X 0 ok so thatamp;#39;s what we called or will call now our vector differential equation and we discussed in our last module the this is a differential equation which describes a linear time varying system i
