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The stabilization with a General Dissipativity Constraint (GDC) has been governed by the non-negativeness of ΔV(x, k) along the trajectories (i.e. ΔV(x, k) 0), in which ΔV(x, k) 0 is a storage function. We have stated and proved the state convergence with the GDC a previous work, but the stability has not been addressed thoroughly. In this paper, we analyze the stability that is obtained from...
This paper deals with the class of continuous-time singular linear systems with time-varying delays. The stability and stabilization problems of this class of systems are addressed. Delay-range-dependent sufficient conditions such that the system is regular, impulse free and alpha-stable are developed in the linear matrix inequality (LMI) setting and an estimate of the convergence rate of such stable...
In this paper, by use of the properties of matrix measure, a set of linear and quadratic conditions is obtained which is sufficient for stabilizability of switched linear systems. These conditions are easily applicable because of their special form. So they are suitable to apply specially for higher order systems with several subsystems. Moreover, different system performances can also be achieved...
Relationship between polyhedral functions and composite quadratic functions is investigated in this paper. The two composite quadratic functions considered are the pointwise maximum of quadratics and the convex hull of quadratics. It is shown that these two composite quadratic functions are universal for robust, possibly constrained, stabilization problems. In particular, a linear differential inclusion...
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