The notions of decoupling zeros of positive discrete-time linear systems are introduced. The relationships between the decoupling zeros of standard and positive discrete-time linear systems are analyzed. It is shown that: 1) if the positive system has decoupling zeros then the corresponding standard system has also decoupling zeros, 2) the positive system may not have decoupling zeros when the ...

In continuous-discrete systems both continuous-time and discrete-time components are relevant and interacting and cannot be separated. Such systems are called hybrid systems. Examples of these can be found in the works of Gałkowski et al. (2003), Hespanha (2004), Johanson et al. (2004) and Liberzon (2003). The problems of dynamics and control of hybrid systems were studied by Dymkov (2005), Dym...

In this note we study stability radii of positive linear discrete-time systems under real or complex parameter perturbations. A simple formula for the real stability radius is established and it is shown that the real and the complex stability radii of positive systems coincide. These results are derived for arbitrary perturbation norms induced by monotonic vector norms (e.g. p-norms, 1 p 1). N...

We provide an output feedback event-triggered controller for discrete-time linear systems. make novel use of positive systems, interval observers, state estimator, and triggering times that are computed from estimator values. This provides a analog our recent systems approach continuous-time A key ingredient in event triggers is their vectors absolute values, instead the usual Euclidean norm. i...

The positivity and asymptotic stability of the descriptor time‐varying discrete‐time linear systems are addressed. The Weierstrass‐Kronecker theorem on the decomposition of the regular pencil is extended to the time‐varying discrete‐time descriptor linear systems. Using the extension necessary and sufficient conditions for the positivity of the systems are established. Sufficien...