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The leader-following consensus problem for linear discrete-time multi-agent systems subject to static networks has been studied in the literature using H∞ Riccati inequality design and H2 Riccati equation design, respectively. However, these methods involve some less tractable conditions and need to solve some type of Riccati equation or inequality. In this paper, we further study the leader-following...
This technical note presents a feedback design approach to minimise state ultimate-bounds (UBs) in linear time-invariant discrete-time systems subject to non-vanishing bounded disturbances. A target closed-loop eigenstructure is first constructed to achieve the lowest possible UBs for one or more state components of the system. Structural conditions on the system matrices are then derived to guarantee...
This paper addresses the feedback control design problem for a wide class of discrete-time systems possessing fast and slow modes. The slow and fast subsystems are considered to be completely controllable and observable. Based on the H∞ optimization criteria, a two-stage design procedure is developed using separate gain matrices for the fast and slow subsystems and computed using linear matrix inequalities...
A novel multi-tracking problem is introduced in multi-agent networks. The states of multiple agents in each subnetwork asymptotically converge to the same desired trajectory in the presence of information exchanges among subnetworks. A protocol with aperiodic sampled-data is proposed to achieve the multi-tracking of second order discrete-time multi-agent networks. The stability of dynamic systems...
For stability analysis of discrete-time descriptor systems, various generalized Lyapunov equations have been proposed in the literature. However, positiveness of the solutions for these well known Lyapunov equations are not biunivocaly related to causal state trajectories that go to zero as the time goes to infinity, even under observability assumptions. We propose in this paper two new Lyapunov equations...
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