2023

最新文章

• From Data to Reduced-Order Models via Generalized Balanced Truncation AI翻译
  作者：Burohman, Azka Muji; Besselink, Bart; Scherpen, Jacquelien M. A.; Camlibel, M. Kanat
  作者单位：University of Groningen; University of Groningen; University of Groningen
  摘要：This article proposes a data-driven model reduction approach on the basis of noisy data with a known noise model. Firstl, the concept of data reduction is introduced. In particular, we show that the set of reduced-order models obtained by applying a Petrov-Galerkin projection to all systems explaining the data characterized in a large-dimensional quadratic matrix inequality (QMI) can again be characterized in a lower-dimensional QMI. Next, we develop a data-driven generalized balanced truncati...
• Fourier-Hermite Dynamic Programming for Optimal Control AI翻译
  作者：Hassan, Syeda Sakira; Sarkka, Simo
  作者单位：Aalto University
  摘要：In this article, we propose a novel computational method for solving nonlinear optimal control problems. The method is based on the use of Fourier-Hermite series for approximating the action-value function arising in dynamic programming instead of the conventional Taylor-series expansion used in differential dynamic programming. The coefficients of the Fourier-Hermite series can be numerically computed by using sigma-point methods, which leads to a novel class of sigma-point-based dynamic prog...
• Risk-Aware Maximum Hands-Off Control Using Worst-Case Conditional Value-at-Risk AI翻译
  作者：Kishida, Masako; Nagahara, Masaaki
  作者单位：Research Organization of Information & Systems (ROIS); National Institute of Informatics (NII) - Japan; University of Kitakyushu
  摘要：With the view of risks, this article deals with the problems of maximum hands-off control that aims at minimizing the length of nonzero control input. More specifically, we consider stochastic systems and seek sparse control inputs that bring the system state to a ball centered at the origin, such that the expected value of the states that are further than a given threshold from the origin is small, thus minimizing the risk that the system state is outside of the ball. To deal with this proble...
• Linear-Like Policy Iteration Based Optimal Control for Continuous-Time Nonlinear Systems AI翻译
  作者：Tahirovic, Adnan; Astolfi, Alessandro
  作者单位：University of Sarajevo; Imperial College London; Sapienza University Rome
  摘要：We propose a novel strategy to construct optimal controllers for continuous-time nonlinear systems by means of linear-like techniques, provided that the optimal value function is differentiable and quadratic-like. This assumption covers a wide range of cases and holds locally around an equilibrium under mild assumptions. The proposed strategy does not require solving the Hamilton-Jacobi-Bellman equation, i.e., a nonlinear partial differential equation, which is known to be hard or impossible t...
• Recurrent Neural Network Training With Convex Loss and Regularization Functions by Extended Kalman Filtering AI翻译
  作者：Bemporad, Alberto
  作者单位：IMT School for Advanced Studies Lucca
  摘要：This article investigates the use of extended Kalman filtering to train recurrent neural networks with rather general convex loss functions and regularization terms on the network parameters, including $\ell _{1}$-regularization. We show that the learning method is competitive with respect to stochastic gradient descent in a nonlinear system identification benchmark and in training a linear system with binary outputs. We also explore the use of the algorithm in data-driven nonlinear model pred...
• Submodular Maximization With Limited Function Access AI翻译
  作者：Downie, Andrew; Gharesifard, Bahman; Smith, Stephen L.
  作者单位：University of Waterloo; University of California System; University of California Los Angeles
  摘要：In this article, we consider a class of submodular maximization problems in which decision-makers have limited access to the objective function. We explore scenarios where the decision-maker can observe only pairwise information, i.e., can evaluate the objective function on sets of size two. We begin with a negative result that no algorithm using only k-wise information can guarantee performance better than k/n. We present two algorithms that utilize only pairwise information about the functio...
• DC-DistADMM: ADMM Algorithm for Constrained Optimization Over Directed Graphs AI翻译
  作者：Khatana, Vivek; Salapaka, Murti V.
  作者单位：University of Minnesota System; University of Minnesota Twin Cities
  摘要：This article reports an algorithm formultiagent distributed optimization problems with a common decision variable, local linear equality, and inequality, constraints and set constraints with convergence rate guarantees. The algorithm accrues all the benefits of the alternating direction method of multipliers (ADMM) approach. It also overcomes the limitations of existing methods on convex optimization problems with linear inequality, equality, and set constraints by allowing directed communicat...
• Reduced Model Reconstruction Method for Stable Positive Network Systems AI翻译
  作者：Sato, Kazuhiro
  作者单位：University of Tokyo; University of Tokyo
  摘要：We consider a reconstruction problem of a reduced stable positive network system with the preservation of the original interconnection structure based on an H-2 optimal model reduction problem with constraints. To this end, we define an important set using the Perron-Frobenius theory of nonnegative matrices such that all elements of the set are stable and Metzler. Using the projection onto the set, we propose a cyclic projected gradient method to produce a better reduced model than an initial ...
• Event-Triggered Adaptive Control of a Parabolic PDE-ODE Cascade With Piecewise-Constant Inputs and Identification AI翻译
  作者：Wang, Ji; Krstic, Miroslav
  作者单位：Xiamen University; University of California System; University of California San Diego
  摘要：We present an adaptive event-triggered boundary control scheme for a parabolic partial differential equation-ordinary differential equation (PDE-ODE) system, where the reaction coefficient of the parabolic PDE and the system parameter of a scalar ODE, are unknown. In the proposed controller, the parameter estimates, which are built by batch least-square identification, are recomputed and the plant states are resampled simultaneously. As a result, both the parameter estimates and the control in...
• On the Admissibility and Stability of Multiagent Nonlinear Interconnected Positive Systems With Heterogeneous Delays AI翻译
  作者：Zenati, Abdelhafid; Aouf, Nabil; Tadjine, Mohamed; Laleg-Kirati, Taous-Meriem
  作者单位：City St Georges, University of London; King Abdullah University of Science & Technology
  摘要：Many multiagent interconnected systems include typical nonlinearities, which are highly sensitive to inevitable communication delays. This makes their analysis challenging and the generalization of results from linear interconnected systems theory to those nonlinear interconnected systems very limited. This article deals with the analysis of multiagent nonlinear interconnected positive systems (MANIPS). The main contributions of this work are twofold. Based on Perron-Frobenius theorem, we firs...