New computation method for average dwell time of general switched systems and positive switched systems

Global exponential stability of 2D switched positive nonlinear systems described by the Roesser model

“…If pick 1 = [1, 1] T and 2 = [1.6, 1.2] T , then ( i + g i ) i ≪ i , i = 1, 2. By solving Equation (5), we have 11 = 0.8719, 12 = 0.8939, 21 = 0.8859, and 22 = 0.8396. The time-varying delays are given by h (k) = 2 + sin( 2 k) and v (l) = 2 + cos( 2 l).…”

“…On the other hand, switched system including a series of subsystems and a switching signal is a class of hybrid systems . Much attention has been focused upon and some excellent research results on the theory of 1D switched positive systems have been published . Among these studies, stability analysis is one of the most important problem .…”

“…[14][15][16][17][18][19][20] Much attention has been focused upon and some excellent research results on the theory of 1D switched positive systems have been published. [21][22][23][24][25][26][27] Among these studies, stability analysis is one of the most important problem. 28,29 Recently, the stability theory of general switched systems is extended for 2D switched positive systems, which may occur in practical systems, such as in the thermal process with multiple modes.…”

Event‐triggered control of positive switched systems based on linear programming

“…Sufficient conditions for stability of continuous-time and discrete-time positive switched systems were established in [11] in terms of linear programming. In [12], a new computation method was proposed for average dwell time (ADT) of positive switched systems. The stability of positive switched systems with delays was discussed in [13][14][15].…”

Separable Lyapunov‐like functions for switched positive non‐linear systems via a contractive approach

“…Meanwhile, many real‐world systems, such as communication systems, can be shown as a unified framework and a switched system. In the literature on the switched system [6, 7], the stability problem has been widely investigated. Usually, the traditional method for stability analysis employs a Lyapunov function decreasing under flows of a dynamical system, which is a positive‐definite function of the system's state.…”