Homework Set # 8 ENEE 661 Spring 2005 To be returned on Tuesday April 19, 2005 in class. From H. Khalil's textbook Problem 4.40 (use my notes), and do an example in which A is a 2x2 diagonal matrix, with elements along the diagonal equal to 1 + cosine(t) and (sine(t))^2 . Is the origin asymptotically stable in this example? Explore this example via MATLAB as well. Problem 4.41 Problem 4.42 Problem 4.45 Problem 4.48 Reading Assignment section 4.9 of textbook (input-to-state stability)