-
作者：Chen, Zhiyong
作者单位：University of Newcastle
摘要：Oscillation synchronization is a widely observed phenomenon in natural systems through frequency-modulated signals, especially in biological neural networks. Frequency modulation is also one of the most widely used technologies in engineering. However, due to technical difficulties, oscillations have always been simplified as unmodulated sinusoidal-like waves in studying the synchronization mechanism in the bulky literature. The application of mathematical principles, especially systems and co...
-
作者：Chinchilla, Raphael; Hespanha, Joao P.
作者单位：University of California System; University of California Santa Barbara
摘要：In this article, we address the problem of minimizing an expected value with stochastic constraints, known in the literature as stochastic programming. Our approach is based on computing and optimizing bounds for the expected value that are obtained by solving a deterministic optimization problem that uses the probability density function (pdf) to penalize unlikely values for the random variables. The suboptimal solution obtained through this approach has performances guarantees with respect t...
-
作者：Delimpaltadakis, Giannis; Mazo, Manuel
作者单位：Delft University of Technology
摘要：Scheduling communication traffic in networks of event-triggered control (ETC) systems is challenging, as their sampling times are unknown, hindering application of ETC in networks. In previous work, finite-state abstractions were created, capturing the sampling behavior of linear time-invariant (LTI) ETC systems with quadratic triggering functions. Offering an infinite-horizon look to ETC systems' sampling patterns, such abstractions can be used for scheduling of ETC traffic. Here, we signific...
-
作者：Goel, Gautam; Hassibi, Babak
作者单位：University of California System; University of California Berkeley; California Institute of Technology
摘要：In this article, we consider estimation and control in linear dynamical systems from the perspective of regret minimization. Unlike most prior work in this area, we focus on the problem of designing causal state estimators and causal controllers, which compete against a clairvoyant noncausal policy, instead of the best policy selected in hindsight from some fixed parametric class. We show that regret-optimal filters and regret-optimal controllers can be derived in state space form using operat...
-
作者：Kuper, Armin; Waldherr, Steffen
作者单位：KU Leuven; University of Vienna
摘要：We present a novel Kalman filter (KF) for spatiotemporal systems called the numerical Gaussian process Kalman filter (NGPKF). Numerical Gaussian processes have recently been introduced as a physics-informed machine-learning method for simulating time-dependent partial differential equations without the need for spatial discretization while also providing uncertainty quantification of the simulation resulting from noisy initial data. We formulate numerical Gaussian processes as linear Gaussian ...
-
作者：Lopez, Victor G.; Alsalti, Mohammad; Mueller, Matthias A.
作者单位：Leibniz University Hannover
摘要：This article introduces and analyzes an improved Q-learning algorithm for discrete-time linear time-invariant systems. The proposed method does not require any knowledge of the system dynamics, and it enjoys significant efficiency advantages over other data-based optimal control methods in the literature. This algorithm can be fully executed offline, as it does not require to apply the current estimate of the optimal input to the system as in on-policy algorithms. It is shown that a PE input, ...
-
作者：Tabuada, Paulo; Gharesifard, Bahman
作者单位：University of California System; University of California Los Angeles
摘要：In this article, we show that deep residual neural networks have the power of universal approximation by using, in an essential manner, the observation that these networks can be modeled as nonlinear control systems. We first study the problem of using a deep residual neural network to exactly memorize training data by formulating it as a controllability problem for an ensemble control system. Using techniques from geometric control theory, we identify a class of activation functions that allo...
-
作者：Su, Housheng; Miao, Suoxia
作者单位：Huazhong University of Science & Technology; East China Jiaotong University; Jiangxi University of Water Resources & Electric Power
摘要：Due to the interdependence of multidimensional states between agents in many practical scenarios, it is more accurate to model multiagent systems by matrix coupling networks. However, existing related results rely on undirected networks. In this article, we discuss the consensus problems for matrix-weighted continuous-time, discrete-time multiagent systems over fixed directed network topologies, and switched multiagent systems switching between continuous-time dynamics and discrete-time dynami...
-
作者：Yi, Peng; Lei, Jinlong; Chen, Jie; Hong, Yiguang; Shi, Guodong
作者单位：Tongji University; Tongji University; University of Sydney
摘要：Distributed linear algebraic equation over networks, where nodes hold a part of problem data and cooperatively solve the equation via node-to-node communications, is a basic distributed computation task receiving an increasing research attention. Communications over a network have a stochastic nature, with both temporal and spatial dependence due to link failures, packet dropouts, or node recreation, etc. In this article, we study the convergence and convergence rate of distributed linear equa...
-
作者：Haddad, Wassim M.; Lee, Junsoo
作者单位：University System of Georgia; Georgia Institute of Technology
摘要：Finite-time stability involves dynamical systems whose trajectories converge to an equilibrium state in finite time. Sufficient conditions for finite-time stability have recently been developed in the literature for discrete-time dynamical systems. In this article, we build on these results to develop a framework for addressing the problem of optimal nonlinear analysis and feedback control for finite-time stability and finite-time stabilization for nonlinear discrete-time controlled dynamical ...
