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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...
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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...
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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...
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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...
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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 ...
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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...
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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...
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作者：Chen, Jing; Mao, Yawen; Gan, Min; Wang, Dongqing; Zhu, Quanmin
作者单位：Jiangnan University; Qingdao University; Qingdao University
摘要：Aitken gradient descent (AGD) algorithm takes some advantages over the standard gradient descent and Newton methods: 1) can achieve at least quadratic convergence in general; 2) does not require the Hessian matrix inversion; 3) has less computational efforts. When using the AGD method for a considered model, the iterative function should be unchanging during all the iterations. This article proposes a hierarchical AGD algorithm for separable nonlinear models based on stage greedy method. The l...
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作者：Gadjov, Dian; Pavel, Lacra
作者单位：University of Toronto
摘要：In this article, we consider distributed Nash equilibrium seeking in monotone and hypomonotone games. We first assume that each player has knowledge of the opponents' decisions and propose a passivity-based modification of the standard gradient-play dynamics, which we call Heavy Anchor. We prove that Heavy Anchor allows a relaxation of strict monotonicity of the pseudogradient, needed for gradient-play dynamics, and can ensure exact asymptotic convergence in merely monotone regimes. We extend ...
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作者：Impicciatore, Anastasia; Pepe, Pierdomenico; D'Innocenzo, Alessandro
作者单位：University of L'Aquila
摘要：This article provides necessary and sufficient Lyapunov conditions for the exponential mean square stability and exponential mean square input-to-state-stability of discrete-time Markovian switching nonlinear systems. An application to the stability analysis of wireless control networks is presented, showing the usefulness of the proposed approach.
