Consider the linear time-varying state-space equation i= A(t).I, where A(l) is an n x n time-varying matrix that satisfi

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Consider The Linear Time Varying State Space Equation I A T I Where A L Is An N X N Time Varying Matrix That Satisfi 1 (34.04 KiB) Viewed 19 times

Consider the linear time-varying state-space equation i= A(t).I, where A(l) is an n x n time-varying matrix that satisfies the condition 10 (S. 4(rar) = ( (7)ar) Ac) for alle ? !02 0. A AT) Find the state transition matrix (t, to) for this system. Hints: . For any matrix functions F(t) and G(t), the derivative of their product satisfies the property d dF(t) dG() (F(0) G(()) GO) + F(t) dt dt dt For an n x n time-varying matrix B(l), the matrix exponential function is defined as exp[B(1)]= = B (0) k! k=0