Finite-time stability for impulsive switched delay systems with nonlinear disturbances

Stability Analysis of Switched Positive Nonlinear Systems by Mode-Dependent Average Dwell Time Method

“…This together with (8) implies that x(K ) v σ (k l ) is exponentially convergent. Therefore, SPNS 7is GUES under a certain class of MDADT switching signals satisfying τ ap > τ * ap = − ln µ p ln γ p , which completes the proof.…”

“…Switched positive systems consisting of some positive subsystems and a switching signal have been paid more attention in different kind of areas. From the point of engineering application, it is essential to consider the qualitative theory of the system before designing the controller, such as oscillation ( [5]- [7]) and stability ( [8], [9]). Especially, stability is the typical feature which should to be considered in advance.…”

Finite-time stability of switched systems with delayed arguments and nonlinear perturbations

“…Note that FTS and LAS are independent concepts: a system could be FTS but not LAS, and vice versa [2]. Finite time stability of switched delay systems were investigated in [10,11,13,16,21]. To mention a few, Lin et al [10] considered the switched linear delay system with norm-bounded disturbance and obtained several stability criteria by employing multiple Lyapunov functions method.…”

“…Motivated by the works [10,16], the FTS of switched delay systems with nonlinear perturbations is considered in this paper. The main contributions of this paper can be summarized as follows: (i) a time-varying delay and nonlinear perturbations are added compared to systems studied in [10]; (ii) several more effective stability criteria are obtained in terms of linear matrix inequalities which differ from the method exploited in [16]. Notation 1.1.…”

Stability analysis for a class of nonlinear impulsive switched systems

“…The authors of [7,15] studied exponential stability of nonlinear impulsive switched systems with delays. In [16,17], the authors discussed finite-time stability for nonlinear impulsive switched systems. In [22,29], the authors investigated the stability properties for a class of nonlinear impulsive switched systems which include both stable and unstable subsystems.…”