We here show that the family of finite-dimensional, discrete-time, passive, linear time-invariant systems can be characterized through structure a matrix-convex set, which is maximal in sense being closed under products its elements Moreover, this observation unifies three setups: (i) difference inclusions, (ii) matrix-valued rational functions, (iii) realization arrays associated with function...

Reaction–diffusion systems have a broad variety of applications, particularly in biology, and it is well known that fractional calculus has been successfully used with this type system. However, analyzing these using discrete novel requires significant research diversity disciplines. Thus, paper, we investigate the discrete-time fractional-order Lengyel–Epstein system as model chlorite iodide m...

This study focuses on event-triggered control of nonlinear discrete-time systems with time delays. Based a Lyapunov-Krasovskii type input-to-state stability result, we propose novel algorithm that works as follows. The inputs are updated only when certain measurement error surpasses dynamical threshold depending both the system states and evolution time. Sufficient conditions established to ens...