https://nova.newcastle.edu.au/vital/access/ /manager/Index en-au 5 Metric regularity of Newton’s iteration https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:11707 Wed 11 Apr 2018 13:33:45 AEST ]]> H∞ control for stochastic systems with disturbance preview https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:40168 H∞ control problem for stochastic systems with disturbance preview, which is very challenging since it involves the preview problem and multiplicative noise simultaneously. The H∞ control problem for deterministic systems with disturbance preview was once listed as one of the 53 open problems in mathematics and control, and its methods cannot be generalized to solve the corresponding stochastic problem because of the essential differences of the two classes of systems. Using the projection principle in indefinite space, we give a necessary condition of the solvable H∞ preview control problem by using a pair of variables. The necessary condition is very useful for solving the minimax problem. An inertia condition of matrices, as the necessary and sufficient condition under which the H8 control for stochastic linear systems is solvable, is also proposed and tested. This condition generalizes the results for H∞ control for deterministic systems with disturbance preview. Our results are demonstrated via a quarter vehicle active suspension system.]]> Wed 06 Jul 2022 11:39:44 AEST ]]> On the finite convergence of the Douglas-Rachford algorithm for solving (not necessarily convex) feasibility problems in Euclidean spaces https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:34706 Wed 04 Sep 2019 09:53:58 AEST ]]> Asplund decomposition of monotone operators https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:10014 Thu 29 Aug 2024 10:12:18 AEST ]]> Event-Triggered Output Synchronization Of Heterogeneous Nonlinear Multiagents https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:48398 Thu 16 Mar 2023 11:50:41 AEDT ]]> Clique-width is NP-complete https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:6974 Sat 24 Mar 2018 10:46:35 AEDT ]]> On barriers in state and input constrained nonlinear systems https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:17296 Sat 24 Mar 2018 08:01:45 AEDT ]]> Convergence rate analysis for averaged fixed point iterations in common fixed point problems https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:32608 Mon 25 Jun 2018 12:57:21 AEST ]]> Symmetry reduction, contact geometry, and partial feedback linearization https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:47562 Mon 23 Jan 2023 13:11:30 AEDT ]]>