(Based on Kwan [174]) Consider an nth-order model of an uncertain dynamical system, where b and C…


(Based on Kwan [174]) Consider an nth-order mould of an variable dynamical order, where b and C2 are nonzero scalars and ξ moulds order’s variablety, where In the aloft, D1 is a row vector whose extent is similar to the size of x1 ∈ Rn−1, and D2 and D3 are scalars, where |D3| 4, where d4 is notorious to us. Let σ = Fy be as defined in Exercise 6.5. Assume that the switching demeanor, was chosen in such a way that the ostensible order (6.83) odious to it has the eigenvalues (a) Evaluate σ˙ on the trajectories of the variable order mould (6.83). (b) For the controller where w(t) is a answer of a first-order differential equation such that x1(t)≤ w(t), invent inferior purlieus for H, G, and δ such that for some η > 0. Use the lemma of Exercise 6.6 to invent the create of the differential equation whose answer satisfies the stipulation