Positivity, exponential stability and disturbance attenuation performance for singular switched positive systems with timevarying distributed delays Abstract   This article analyzes the singular switched positive systems with timevarying distributed delays from the perspective of positivity, exponential stability and disturbance attenuation performance referring to both L1gain and Lxe2x88x9egain. For the system, a sufficient and necessary positivity condition is firstly developed by using the singular value decomposition technique. Then, a sufficient condition of exponential stability, which makes the considered system exponentially stable, is proposed on the basis of copositive Lyapunovxe2x80x93Krasovskii functional and average dwell time techniques, and the obtained exponential decay rate can be adjusted in the light of various actual situations. Furthermore, the article analyzes the disturbance attenuation performance referring to both L1gain and Lxe2x88x9egain, and through the convex optimization approach, the optimal L1gain and Lxe2x88x9egain performance level could be established, respectively. Three examples are finally presented to show the feasibility and effectiveness of the obtained results.

Eventtriggered control for linear continuous switched singular systems Abstract   Eventtriggered control is an effective control scheme, which can reduce the number of samplings without affecting a desirable system performance. The statebased and observerbased state feedback control are studied for linear switched singular systems in continuoustime case. Firstly, we provide an improved eventtriggered sampling mechanism. Next, a set of codesign methods are presented, namely, the construction of switching laws, eventtriggered scheme and the choice of controller parameters are jointly discussed. Furthermore, the stability conditions are achieved in terms of global Euniform boundedness providing that the average dwell time is satisfied for considered systems. In our paper, the improved eventtriggered mechanism is adopted and obtained results have less conservatism than existing results. Finally, we illustrate the feasibility via numerical examples.