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— In this paper we consider the problem of stabilizing a bilinear system via linear state feedback control. A procedure is proposed which, given a polytope P surrounding the origin of the state space, finds, if existing, a controller in the form u = Kx, such that the zero equilibrium point of the closed loop system is asymptotically stable and P is enclosed… (More)

3) Example 3: Consider now the time-varying system The solution with dynamic matrix and solution given respectively by [15, p. 149] A(t) = 0 1 1 + t ; x(t; t 0 ; x 0) = 1 + t0 1 + t x 0 and thus the system is asymptotically stable but not uniformly asymp-totically stable. In fact, Theorem 4 provides X(t) = (1 + t 0) 2 (1 + t) 2 as the solution of (4) and,… (More)

In this paper the problem of input-output finite-time stabilization of linear time-varying systems is dealt with. The classical definition of input-output finite-time stability (IO-FTS) is extended to that one of structured IO-FTS, which allows to incorporate, in the definition of the stabilization problem, some amplitude constraints on the control input… (More)