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作者：Rohou, Simon; Jaulin, Luc
作者单位：Institut Polytechnique de Paris; ENSTA Paris; Universite de Bretagne Occidentale
摘要：This article proposes a new set-membership method for estimating the trajectories of dynamical systems, when the states are completely unknown and only nonlinear observations are available. The first part of the proposed method is symbolic and follows the decomposition of Brunovsky, i.e., it decomposes the set of differential equations describing the dynamical system into two blocks of constraints: one block gathers nonlinear analytical equations that do not involve differential operators, whi...
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作者：Djeumou, Franck; Vinod, Abraham P.; Goubault, Eric; Putot, Sylvie; Topcu, Ufuk
作者单位：University of Texas System; University of Texas Austin; Institut Polytechnique de Paris; Ecole Polytechnique; Centre National de la Recherche Scientifique (CNRS)
摘要：In this article, we develop data-driven algorithms for reachability analysis and control of systems with a priori unknown nonlinear dynamics. The resulting algorithms not only are suitable for settings with real-time requirements but also provide provable performance guarantees. To this end, they merge noisy data from only a single finite-horizon trajectory and, if available, various forms of side information. Such side information may include knowledge of the regularity of the dynamics, algeb...
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作者：Osinenko, Pavel; Yaremenko, Grigory; Malaniya, Georgiy
作者单位：Skolkovo Institute of Science & Technology
摘要：Control Lyapunov function is a central tool in stabilization. It generalizes an abstract energy function-a Lyapunov function-to the case of controlled systems. It is a known fact that most control Lyapunov functions are nonsmooth-so is the case in nonholonomic systems, like wheeled robots and cars. Frameworks for stabilization using nonsmooth control Lyapunov functions exist, such as Dini aiming and steepest descent. This work generalizes the related results to the stochastic case. As the grou...
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作者：Talebi, Soroush; Ataei, Mohammad; Pepe, Pierdomenico
作者单位：University of Isfahan; University of L'Aquila
摘要：This note argues over the existence of invariantly differentiable functionals for globally exponentially stable time-delay systems. We show that the existence of invariantly differentiable, Lipschitz on bounded sets Lyapunov-Krasovskii functional is a necessary and sufficient condition for the global exponential stability of time-invariant nonlinear systems described by retarded functional differential equations with discrete type delay. The presented converse results are in terms of the invar...
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作者：Ye, Lintao; Zhu, Hao; Gupta, Vijay
作者单位：Huazhong University of Science & Technology; Huazhong University of Science & Technology; University of Texas System; University of Texas Austin; Purdue University System; Purdue University
摘要：In this article, we study the problem of control policy design for decentralized state-feedback linear quadratic control with a partially nested information structure, when the system model is unknown. We propose a model-based learning solution, which consists of two steps. First, we estimate the unknown system model from a single system trajectory of finite length, using least squares estimation. Next, based on the estimated system model, we design a decentralized control policy that satisfie...
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作者：Zhang, Xianfu; Chen, Xiandong; Wen, Changyun
作者单位：Shandong University; Nanyang Technological University
摘要：This article studies the global feedback regulation problems for triangular nonlinear systems perturbed by matched disturbances and modeling uncertainties with unknown system parameters. Instead of constructing extended state observers, new integral controllers composed of an integral dynamic are constructed to make all states of the uncertain systems bounded and asymptotically converge to zero. First, an integral dynamic is constructed and a new state transformation is introduced, which trans...
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作者：Koivumaki, Janne; Humaloja, Jukka-Pekka; Paunonen, Lassi; Zhu, Wen-Hong; Mattila, Jouni
作者单位：Tampere University; Tampere University; Canadian Space Agency
摘要：This study proposes an adaptive subsystem-based control (SBC) for systematic and straightforward nonlinear control of nth-order strict-feedback form (SFF) systems. By decomposing the SFF system to subsystems, a generic term (namely stability connector) can be created to address dynamic interactions between the subsystems. This 1) enables modular control design with global asymptotic stability, 2) such that the control design and its stability analysis can be performed locally at a subsystem le...
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作者：Liu, Wanchun; Quevedo, Daniel E.; Johansson, Karl Henrik; Vucetic, Branka; Li, Yonghui
作者单位：University of Sydney; Queensland University of Technology (QUT); Royal Institute of Technology
摘要：We investigate the stability conditions for remote state estimation of multiple linear time-invariant (LTI) systems over multiple wireless time-varying communication channels. We answer the following open problem: what is the fundamental requirement on the multisensor-multichannel system to guarantee the existence of a sensor scheduling policy that can stabilize the remote estimation system? In this note, we propose a novel policy construction and analytical framework and derive the necessary-...
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作者：Bemporad, Alberto
作者单位：IMT School for Advanced Studies Lucca
摘要：This article proposes an algorithm for solving multivariate regression and classification problems using piecewise linear predictors over a polyhedral partition of the feature space. The resulting algorithm that we call piecewise affine regression and classification (PARC) alternates between first, solving ridge regression problems for numeric targets, softmax regression problems for categorical targets, and either softmax regression or cluster centroid computation for piecewise linear separat...
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作者：Di Loreto, Michael; Eberard, Damien
作者单位：Ecole Centrale de Lyon; Universite Claude Bernard Lyon 1; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Information Sciences & Technologies (INS2I); Institut National des Sciences Appliquees de Lyon - INSA Lyon; Universite de Toulouse; Universite Federale Toulouse Midi-Pyrenees (ComUE); Universite Toulouse III - Paul Sabatier; Institut National Polytechnique de Toulouse; Universite Toulouse 1 Capitole; Universite de Toulouse - Jean Jaures
摘要：Left inversion of linear time-invariant systems aims at identifying the input acting on a system, for the zero initial state, from partial information on the input and the state. In the present contribution, we propose to generalize such left inversion for linear systems in various directions that take arbitrary initial state into consideration to address both exact and asymptotic input reconstructions. Necessary and sufficient algebraic conditions are given to achieve such strong left inversi...
