查看更多>>摘要：This study investigates the problem of adaptive tracking control for switched cyber-physical systems against cyberattacks. A tracking signal is generated using an exogenous system. An adaptive tracking controller is designed to compensate for the attacks and then stabilize the studied systems. A switching signal is constructed using the mode-dependent average dwell time (MDADT) method. By using the multiple Lyapunov function approach, which is associated with the adaptive estimated signal, the closed-loop error systems with cyberattacks are asymptotically stable under the designed adaptive tracking controller and MDADT switching signal, and the system states can asymptotically track the reference signal. Finally, two examples are provided to validate the theoretical results. (C) 2021 Elsevier Inc. All rights reserved.
查看更多>>摘要：In this paper, a concise review is presented, of how the scaling transformation group can be employed to determine a modified boundary value problem [6,10,11], which is invariant under an extended two-parameter scaling group. The main contribution is then to show that since the non-physical scaling parameter in the extended group is unity, a simple iterative method which does not require an extended group can be deduced. (C) 2021 Elsevier Inc. All rights reserved.
查看更多>>摘要：In this paper we construct a new set of basis functions for the numerical solution of non-homogeneous heat conduction problems with Dirichlet boundary conditions and null initial data. These functions can be seen as Newtonian potentials of plane waves for the heat equation and satisfy a null initial condition. Density results for adapted waves will be established and several numerical simulations will be presented in order to discuss the accuracy and feasibility of the proposed method. An application of the method for heat problems with non null initial temperature will also be discussed. (C) 2021 Elsevier Inc. All rights reserved.
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