2023

最新文章

• Local Output Feedback Stabilization of a Nonlinear Kuramoto-Sivashinsky Equation AI翻译
  作者：Lhachemi, Hugo
  作者单位：Centre National de la Recherche Scientifique (CNRS); Universite Paris Saclay
  摘要：This article is concerned with the local output feedback stabilization of a nonlinear Kuramoto-Sivashinsky equation. The control is located at the boundary of the domain while the measurement is selected as a Neumann trace. This choice of system output requires the study of the system trajectories in H-2-norm. Moreover, the choice of the actuation/sensing scheme is discussed and adapted depending on the parameters of the plant in order to avoid the possible loss of controllability/observabilit...
• Control Design for a Class of Discrete-Time Port-Hamiltonian Systems AI翻译
  作者：Macchelli, Alessandro
  作者单位：University of Bologna
  摘要：This article aims at extending the continuous-time energy-shaping plus damping injection control design technique to deal with a class of nonlinear, discrete-time port-Hamiltonian systems. For such systems, the gradient of the Hamiltonian function in the continuous-time dynamics is replaced by a discrete gradient, thus leading to a state equation in implicit form. Its well-posedness is studied both in the autonomous and nonautonomous cases to determine when the dynamical equation admits a solu...
• Stability Verification of Neural Network Controllers Using Mixed-Integer Programming AI翻译
  作者：Schwan, Roland; Jones, Colin N.; Kuhn, Daniel
  作者单位：Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne; Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne
  摘要：In this article, we propose a framework for the stability verification of mixed-integer linear programming (MILP) representable control policies. This framework compares a fixed candidate policy, which admits an efficient parameterization and can be evaluated at a low computational cost, against a fixed baseline policy, which is known to be stable but expensive to evaluate. We provide sufficient conditions for the closed-loop stability of the candidate policy in terms of the worst-case approxi...
• The Curious Case of Integrator Reach Sets, Part I: Basic Theory AI翻译
  作者：Haddad, Shadi; Halder, Abhishek
  作者单位：University of California System; University of California Santa Cruz
  摘要：This is the first of a two part paper investigating the geometry of the integrator reach sets, and the applications thereof. In this Part I, assuming box-valued input uncertainties, we establish that this compact convex reach set is semialgebraic, translated zonoid, and not a spectrahedron. We derive the parametric as well as the implicit representation of the boundary of this reach set. We also deduce the closed-form formula for the volume and diameter of this set, and discuss their scaling w...
• Distributed Design of Glocal Controllers via Hierarchical Model Decomposition AI翻译
  作者：Sasahara, Hampei; Ishizaki, Takayuki; Imura, Jun-ichi; Sandberg, Henrik; Johansson, Karl Henrik
  作者单位：Institute of Science Tokyo; Tokyo Institute of Technology; Royal Institute of Technology
  摘要：This article proposes a distributed design method of controllers with a glocal (global/local) information structure for large-scale network systems. The glocal controller of interest has a hierarchical structure, wherein a global subcontroller coordinates a set of disjoint local subcontrollers. The global subcontroller regulates interarea oscillations among subsystems, while local subcontrollers individually regulate intraarea oscillations of the respective subsystem. The distributed design of...
• Hybrid Nash Equilibrium Seeking Under Partial-Decision Information: An Adaptive Dynamic Event-Triggered Approach AI翻译
  作者：Xu, Wenying; Wang, Zidong; Hu, Guoqiang; Kurths, Jurgen
  作者单位：Southeast University - China; Brunel University; Nanyang Technological University; Potsdam Institut fur Klimafolgenforschung; Lobachevsky State University of Nizhni Novgorod
  摘要：This article is concerned with the hybridNash equilibrium (NE) seeking problem over a network in a partial-decision information scenario. Each agent has access to both its own cost function and local decision information of its neighbors. First, an adaptive gradient-based algorithm is constructed in a fully distributed manner with the guaranteed convergence to the NE, where the network communication is required. Second, in order to save communication cost, a novel event-triggered scheme, namel...
• Soft-Reset Control With Max-of-Quadratics Lyapunov Certificates AI翻译
  作者：Bertollo, Riccardo; Teel, Andrew R.; Zaccarian, Luca
  作者单位：University of Trento; University of California System; University of California Santa Barbara; Universite de Toulouse; Centre National de la Recherche Scientifique (CNRS)
  摘要：In this article, we further develop a novel control paradigm encoding the core behavior of a reset control system within a continuous-time feedback, described by a differential inclusion. A tuning knob allows adjusting how close the continuous-time feedback resembles the behavior of the underlying reset controller. The Lyapunov conditions that we derive naturally lead to a sum-of-squares formulation allowing for the design of max-of-quadratics Lyapunov certificates associated with polynomial m...
• Improving the Transient Times for Distributed Stochastic Gradient Methods AI翻译
  作者：Huang, Kun; Pu, Shi
  作者单位：The Chinese University of Hong Kong, Shenzhen; Shenzhen Research Institute of Big Data; The Chinese University of Hong Kong, Shenzhen; The Chinese University of Hong Kong, Shenzhen; Shenzhen Institute of Artificial Intelligence & Robotics for Society
  摘要：We consider the distributed optimization problem where n agents, each possessing a local cost function, collaboratively minimize the average of the n cost functions over a connected network. Assuming stochastic gradient information is available, we study a distributed stochastic gradient algorithm, called exact diffusion with adaptive stepsizes (EDAS) adapted from the Exact Diffusion method (Yuan et al., 2019) and NIDS (Li et al., 2019) and perform a nonasymptotic convergence analysis. We not ...
• Practical Learning-Tracking Framework Under Unknown Nonrepetitive Channel Randomness AI翻译
  作者：Shen, Dong
  作者单位：Renmin University of China
  摘要：In this study, we consider the learning-tracking problem for stochastic systems through unreliable communication channels. The channels suffer from both multiplicative and additive randomness subject to unknown probability distributions. The statistics of this randomness, such as mean and covariance, are nonrepetitive in the iteration domain. This nonrepetitive randomness introduces nonstationary contamination and drifts to the actual signals, yielding essential challenges in signal processing...
• Deep Neural Network-Based Approximate Optimal Tracking for Unknown Nonlinear Systems AI翻译
  作者：Greene, Max L.; Bell, Zachary I.; Nivison, Scott; Dixon, Warren E.
  作者单位：Johns Hopkins University; State University System of Florida; University of Florida
  摘要：The infinite horizon optimal tracking problem is solved for a deterministic, control-affine, unknown nonlinear dynamical system. A deep neural network (DNN) is updated in real time to approximate the unknown nonlinear system dynamics. The developed framework uses a multitimescale concurrent learning-based weight update policy, with which the output layer DNN weights are updated in real time, but the internal DNN features are updated discretely and at a slower timescale (i.e., with batch-like u...