Stability analysis for discrete-time switched systems with unstable subsystems by a mode-dependent average dwell time approach

Stability and stabilization studies for a class of switched nonlinear systems via vector norms approach

“…where M C : ð Þ is the pseudo-overvaluing matrix relative to system (20) which is defined in (6). It is deduced as below: …”

Fractional descriptor continuous–time linear systems described by the Caputo–Fabrizio derivative

“…Positive linear systems with different fractional orders were addressed by Kaczorek (2011b;2012), along with descriptor positive discrete-time and continuous-time nonlinear systems (Kaczorek, 2014a), the positivity and linearization of nonlinear discrete-time systems by state feedbacks (Kaczorek, 2014b), or new * Corresponding author stability tests of positive standard and fractional linear systems (Kaczorek, 2011a). The stability and robust stabilization of discrete-time switched systems were analyzed by Zhang et al (2014a;2014b), while the controllability of dynamical systems was investigated by Klamka (2013).…”

Positivity and stability of fractional descriptor time–varying discrete–time linear systems

“…Positive standard and descriptor systems and their stability were analyzed by Kaczorek (2001;2011;1998a;2015b), along with positive linear systems with different fractional orders (Kaczorek, 2011;2012) and singular discrete-time linear systems (Kaczorek, 1998a;2015a). Switched discrete-time systems were considered by Zhang et al (2014a; and Zhong (2013), while extremal norms for positive linear inclusions by Rami et al (2012). Positivity and stability of time-varying discrete-time linear systems were addressed by Kaczorek (2015c).…”