Hybrid L∞×ℓ∞-performance analysis and control of linear time-varying impulsive and switched positive systems

New alternative convex conditions on exponential stability and stabilisation of switched positive linear systems with dwell time

“…Through adopting the discretised approach, these convex conditions are relaxed into finite‐dimensional LP, which is numerically testable. In [30], these clock‐dependent conditions are applied to the design of interval observes of linear impulsive, sampled‐data and switched systems, and in [31], they are applied to the design of ‐to‐ interval observers of linear impulsive and switched systems. This shows the advantages of these clock‐dependent conditions over the non‐convex ones in terms of applicability.…”