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作者：Singh, Bhawana; Pal, Anil Kumar; Kamal, Shyam; Dinh, Thach Ngoc; Mazenc, Frederic
作者单位：Banaras Hindu University (BHU); Indian Institute of Technology System (IIT System); Indian Institute of Technology BHU Varanasi (IIT BHU Varanasi); heSam Universite; Conservatoire National Arts & Metiers (CNAM); Universite Paris Saclay; Inria; Centre National de la Recherche Scientifique (CNRS)
摘要：Predefined-time stability is the stability of dynamical systems whose solutions approach the equilibrium point within a predecided time duration. In this technical note, we develop general results of predefined-time stability of nonlinear systems using vector Lyapunov functions. A vector comparison system, which is predefined-time convergent, is constructed, and after that the stability of the original dynamical system is proved using differential inequalities and comparison principles. Moreov...
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作者：Zhang, Qichun; Zhang, Jianhua; Wang, Hong
作者单位：University of Bradford; North China Electric Power University; United States Department of Energy (DOE); Oak Ridge National Laboratory
摘要：This article presents a novel minimum entropy control algorithm for a class of stochastic nonlinear systems subjected to non-Gaussian noises. The entropy control can be considered as an optimization problem for the system randomness attenuation, but the mean value has to be considered separately. To overcome this disadvantage, a new representation of the system stochastic properties was given using the cumulant-generating function based on the moment-generating function, in which the mean valu...
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作者：Chang, Dong Eui
作者单位：Korea Advanced Institute of Science & Technology (KAIST)
摘要：A new S-1 principal bundle over a vector space with the origin removed is constructed for the drone with the yaw dynamics evolving on the S-1 fiber, and the remaining part of drone dynamics on the base space. Two local trivializations are constructed to cover the whole bundle such that on each trivialization the drone dynamics is transformed via dynamic feedback to a linear controllable system with the yaw dynamics decoupled from the rest of the drone dynamics to make easy the design of drone ...
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作者：Komaee, Arash
作者单位：Southern Illinois University System; Southern Illinois University
摘要：This article investigates a stochastic optimal control problem with linear Gaussian dynamics, quadratic performance measure, but non-Gaussian observations. The linear Gaussian dynamics characterizes a large number of interacting agents evolving under a centralized control and external disturbances. The aggregate state of the agents is only partially known to the centralized controller by means of the samples taken randomly in time and from anonymous randomly selected agents. Due to the removal...
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作者：Goebel, Rafal
作者单位：Loyola University Chicago
摘要：Nonlinear discrete-time switching systems under mode-dependent switching and dwell-time constraints are modeled by difference inclusions. Novel proofs of converse Lyapunov results are obtained for the switching systems as consequences of a converse Lyapunov result for a difference inclusion.
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作者：Cayci, Semih; Satpathi, Siddhartha; He, Niao; Srikant, R.
作者单位：University of Illinois System; University of Illinois Urbana-Champaign; RWTH Aachen University; University of Illinois System; University of Illinois Urbana-Champaign; Mayo Clinic; Swiss Federal Institutes of Technology Domain; ETH Zurich; University of Illinois System; University of Illinois Urbana-Champaign
摘要：In this article, we study the dynamics of temporal-difference (TD) learning with neural network-based value function approximation over a general state space, namely, neural TD learning. We consider two practically used algorithms, projection-free and max-norm regularized neural TD learning, and establish the first convergence bounds for these algorithms. An interesting observation from our results is that max-norm regularization can dramatically improve the performance of TD learning algorith...
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作者：Schuurmans, Mathijs; Patrinos, Panagiotis
作者单位：KU Leuven
摘要：In this article, we present a data-driven learning model predictive control (MPC) scheme for chance-constrained Markov jump systems with unknown switching probabilities. Using samples of the underlying Markov chain, ambiguity sets of transition probabilities are estimated, which include the true conditional probability distributions with high probability. These sets are updated online and used to formulate a time-varying, risk-averse optimal control problem. We prove recursive feasibility of t...
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作者：Vinod, Abraham P.; Israel, Arie; Topcu, Ufuk
作者单位：University of Texas System; University of Texas Austin; University of Texas System; University of Texas Austin
摘要：We study the problem of data-driven, constrained control of unknown nonlinear dynamics from a single ongoing and finite-horizon trajectory. We consider a one-step optimal control problem with a smooth, black-box objective, typically a composition of a known cost function and the unknown dynamics. We investigate an on-the-fly control paradigm, i.e., at each time step, the evolution of the dynamics and the first-order information of the cost are provided only for the executed control action. We ...
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作者：Blanchini, Franco; Giordano, Giulia; Riz, Francesco; Zaccarian, Luca
作者单位：University of Udine; University of Trento; University of Trento; University of Trento; Centre National de la Recherche Scientifique (CNRS); Universite de Toulouse
摘要：In this article, we propose a dynamic augmentation scheme for the asymptotic solution of the nonlinear algebraic loops arising in well-known input saturated feedbacks typically designed by solving linear matrix inequalities. We prove that the existing approach based on dynamic augmentation, which replaces the static loop by a dynamic one through the introduction of a sufficiently small time constant, works under some restrictive sufficient well-posedness conditions, requiring the existence of ...
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作者：Kawan, Christoph; Mironchenko, Andrii; Zamani, Majid
作者单位：University of Munich; University of Passau; University of Colorado System; University of Colorado Boulder
摘要：In this article, we show that an infinite network of input-to-state stable (ISS) subsystems, admitting ISS Lyapunov functions, itself admits an ISS Lyapunov function, provided that the couplings between the subsystems are sufficiently weak. The strength of the couplings is described in terms of the properties of an infinite-dimensional nonlinear positive operator, built from the interconnection gains. If this operator induces a uniformly globally asymptotically stable (UGAS) system, a Lyapunov...
