Improved results on stability of continuous-time switched positive linear systems

Guaranteed cost finite-time control of positive switched nonlinear systems with D-perturbation

“…In this subsection, we are concerned with the guaranteed cost nite-time controller design of positive switched nonlinear system (1). Under the controller u(t) = K σ(t) y(t) the corresponding closed-loop system is given by (27)- (29) and the following inequalities hold:…”

“…As a special kind of switched systems, the positive switched systems, whose output and state are nonnegative whenever the initial condition and input are nonnegative, have been applied in many practical systems, such as communication networks [1], viral mutation [2], formation ying [3], and so on. Many remarkable results have been presented, see [4][5][6][7][8][9][10][11] and references therein.…”

Common Weak Linear Copositive Lyapunov Functions for Positive Switched Linear Systems

“…If assumption (H3) holds, by using Lemmas 2 and 3, we know that the -dimensional vector 12⋅⋅⋅ +1 is well defined by (14). Construct the ( − ) × -matrix of the form…”

“…In recent years, stability issue for PSLS has been addressed for both practical applications in cooperative control of multiagent systems [4][5][6][7][8] and for theoretical reasons in [9][10][11][12][13][14][15][16][17] to name a few. For PSLSs, linear copositive Lyapunov functions play an important role in the stability analysis.…”

Guaranteed Cost Finite-Time Control of Discrete-Time Positive Impulsive Switched Systems

“…As a special kind of positive systems [1][2][3], the positive switched systems whose output and state are nonnegative whenever the initial condition and input are nonnegative have been found in many applications such as communication networks [4], viral mutation [5], and formation flying [6]. There have been many available results about continuoustime positive switched systems [7][8][9][10][11] and discrete-time positive switched systems [12][13][14].…”