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作者：Cheddour, Ayoub; Elazzouzi, Abdelhai; Ouzahra, Mohamed
作者单位：Sidi Mohamed Ben Abdellah University of Fez; Sidi Mohamed Ben Abdellah University of Fez
摘要：This work is concerned with the feedback stabilization of a class of semilinear system with distributed delay. We consider an observation condition in terms of the semigroup solution of the linear part of the considered system and parameterized by a positive constant. Some sufficient conditions are given with respect to this parameter and the bounded feedback control to guarantee the feedback stabilization of the semilinear system with distributed delay. Moreover, when this parameter is greate...
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作者：Ferrara, Antonella; Incremona, Gian Paolo; Vecchio, Claudio
作者单位：University of Pavia; Polytechnic University of Milan
摘要：The problem of stabilizing a class of nonholonomic systems in a chained form affected by both matched and unmatched uncertainties is addressed in this article. The proposed design methodology is based on a discontinuous transformation of the perturbed nonholonomic system to which an adaptive multiple-surface sliding mode technique is applied. The generation of a sliding mode allows to eliminate the effect of matched uncertainties, while a suitable function approximation technique enables to de...
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作者：de Oliveira, Arthur Castello B.; Siami, Milad; Sontag, Eduardo D.
作者单位：Northeastern University; Northeastern University
摘要：We develop some basic principles for the design and robustness analysis of a continuous-time bilinear dynamical network, where an attacker can manipulate the strength of the interconnections/edges between some of the agents/nodes. We formulate the edge protection optimization problem of picking a limited number of attack-free edges and minimizing the impact of the attack over the bilinear dynamical network. In particular, the H-2-norm of bilinear systems is known to capture robustness and perf...
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作者：Lin, Yeming; Liu, Kun; Han, Dongyu; Xia, Yuanqing
作者单位：Beijing Institute of Technology
摘要：This article considers an online aggregative game equilibrium problem subject to privacy preservation, where all players aim at tracking the time-varying Nash equilibrium, while some players are corrupted by an adversary. We propose a distributed online Nash equilibrium tracking algorithm, where a correlated perturbation mechanism is employed to mask the local information of the players. Our theoretical analysis shows that the proposed algorithm can achieve a sublinear expected regret bound wh...
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作者：Terasaki, Shun; Sato, Kazuhiro
作者单位：University of Tokyo
摘要：We consider a minimal controllability problem (MCP), which determines the minimum number of input nodes for a descriptor system to be structurally controllable. We investigate the forbidden nodes in descriptor systems, denoting nodes that are unable to establish connections with input components. The three main results of this work are as follows. First, we show a solvability condition for the MCP with forbidden nodes using graph theory such as a bipartite graph and its Dulmage-Mendelsohn deco...
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作者：Kalimeris, Konstantinos; Ozsari, Turker; Dikaios, Nikolaos
作者单位：Academy of Athens; Ihsan Dogramaci Bilkent University
摘要：This article presents a new numerical method, which approximates Neumann type null controls for the heat equation and is based on the Fokas method. This is a direct method for solving problems originating from the control theory, which allows the realization of an efficient numerical algorithm that requires small computational effort for determining the null control with exponentially small error. Furthermore, the unified character of the Fokas method makes the extension of the numerical algor...
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作者：Lu, Quoc-Hung; Fergani, Soheib; Jauberthie, Carine
作者单位：Centre National de la Recherche Scientifique (CNRS); Universite de Toulouse; Universite Toulouse III - Paul Sabatier
摘要：This article is concerned with analytical developments of results first introduced by Lu et al. (2019). These developments are devoted to the optimization of upper bounds of the interval covariance matrices appearing in the interval Kalman filter. The proposed study is mainly highlighted through two aspects. First, the optimization is further performed by considering a class of upper bounds and minimizing the traces of these bounds in two stages (in terms of a gain matrix and then with respect...
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作者：Samanipour, Pouya; Poonawala, Hasan A.
作者单位：University of Kentucky
摘要：This article presents algorithms to solve analysis and controller synthesis problems for dynamical systems modeled as a recurrent single-hidden-layer rectified linear unit neural network (ReLU NN), or equivalently, a piecewise affine dynamical system. Such models are interesting since they may arise through the use of modern machine learning methods for system identification, or as closed-loop solutions in certain classes of model predictive control (MPC) problems. A key idea in the proposed a...
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作者：Takakura, Shokichi; Sato, Kazuhiro
作者单位：University of Tokyo
摘要：In this article, we consider the static output feedback control for linear quadratic regulator problems with structured constraints under the assumption that system parameters are unknown. To solve the problem in the model free setting, we propose the policy gradient algorithm based on the gradient projection method and show its global convergence to epsilon-stationary points. In addition, we introduce a variance reduction technique and show both theoretically and numerically that it significa...
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作者：Chang, Ting-Jui; Shahrampour, Shahin
作者单位：Northeastern University
摘要：Online optimization has recently opened avenues to study optimal control for time-varying cost functions that are unknown in advance. Inspired by this line of research, we study the distributed online linear quadratic regulator (LQR) problem for linear time-invariant (LTI) systems with unknown dynamics. Consider a multiagent network where each agent is modeled as an LTI system. The network has a global time-varying quadratic cost, which may evolve adversarially and is only partially observed b...
