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作者：Acosta, Jose Angel; Bloch, Anthony; De Diego, David Martin
作者单位：University of Sevilla; University of Michigan System; University of Michigan; Universidad Carlos III de Madrid; Complutense University of Madrid; Consejo Superior de Investigaciones Cientificas (CSIC); CSIC - Instituto de Ciencia de Materiales de Madrid (ICMM); CSIC - Instituto de Ciencias Matematicas (ICMAT); Autonomous University of Madrid
摘要：We introduce a mathematical technique based on modifying a given Riemannian metric and we investigate its applicability to controlling and stabilizing constrained mechanical systems, regardless of actuation. Our result relies on constructing a complete Riemannian metric on the modified space incorporating the constraint. Essentially, this technique modifies incomplete Riemannian metrics with complete ones, altering evolution near a boundary, thereby leveraging the design of a controller to mee...
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作者：Katz, Rami; Fridman, Emilia; Mazenc, Frederic
作者单位：University of Trento; Tel Aviv University; Universite Paris Saclay; Inria; Centre National de la Recherche Scientifique (CNRS)
摘要：We study the stability of a linear system with a periodic delay that is rapidly varying around a nominal value. We are inspired by previous results on rapidly varying periodic delays, where the stabilizing effect of the rapidly varying periodic delay on the system stability was studied via a trajectory-based comparison to a suitable comparison (averaged) system with distributed delays. The stability of the original system was proved to be asymptotic, provided that the delay modulation was rapi...
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作者：Feng, Hongyinping; Du, Hai-Li
作者单位：Shanxi University; Shanxi University
摘要：In this article, we propose a novel adaptive control scheme for a 1-D unstable heat equation with an unknown control coefficient. A new state observer is designed to estimate the system state, while a new update law is devised to estimate the reciprocal of the control coefficient. In contrast to the conventional state observer, which is generally applicable to all controllers, the newly designed state observer relies on a specific controller factorization. Importantly, neither the unknown cont...
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作者：Li, Rui-Bing; Feng, Zhiguang; Shi, Yang
作者单位：Heilongjiang University; Harbin Engineering University; University of Victoria
摘要：The distributed finite-time bipartite consensus control problem for nonlinear multiagent systems (MASs) is discussed in this work. This article proposes the prioritized strategy that utilizes a more relaxed criteria, i.e., a signed digraph containing one spanning tree, to achieve bipartition among all agents in the system. To improve the scheme's applicability, a nonstrict feedback structure is adopted for the agent model. Different from some existing finite-time control schemes, a novel C-1 f...
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作者：Long, Lijun; Wang, Fenglan; Chen, Zhiyong
作者单位：Northeastern University - China; Northeastern University - China; Northeastern University - China; University of Newcastle
摘要：This article addresses the intricate challenges in stabilizing nonlinear systems amidst event-triggering and switching dynamics, operating under a less stringent input-to-state stability (ISS) condition from input disturbance to the state. We propose two classes of event-triggered stabilization schemes utilizing multiple Lyapunov functions under state-dependent and time-dependent switching laws, respectively. The former ensures a predefined dwell time for switched systems, along with a constan...
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作者：Vazquez, David; Bernal, Miguel
摘要：This article deals with finite-time stabilization of uncertain nonlinear single-input single-output (SISO) systems with relative degree equal to their order. In contrast with former methodologies, which were limited to linear systems without uncertainties, this proposal can be applied to a class of nonlinear uncertain systems. The nonlinear control scheme exploits the system nonlinearities and control signal constraints while being able to take into account constant but unknown parametric unce...
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作者：Veil, Carina; Krstic, Miroslav; Karafyllis, Iasson; Diagne, Mamadou; Sawodny, Oliver
作者单位：Stanford University; University of California System; University of California San Diego; National Technical University of Athens; University of Stuttgart
摘要：Populations (in ecology, epidemics, biotechnology, economics, and social processes) not only interact over time but also age over time. It is therefore common to model them as age-structured partial differential equations (PDEs), where age is the space variable. Since the models also involve integrals over age, both in the birth process and in the interaction among species, they are in fact integro-partial differential equations (IPDEs) with positive states. To regulate the population densitie...
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作者：Konda, Rohit; Chandan, Rahul; Grimsman, David; Marden, Jason R.
作者单位：University of California System; University of California Santa Barbara; Amazon.com; Brigham Young University
摘要：Deriving competitive, distributed solutions to multiagent problems is crucial for many developing application domains. The game theory has emerged as a useful framework to design such algorithms. However, much of the attention within this framework is on the study of equilibrium behavior, whereas transient behavior is often ignored. Therefore, in this article we study the transient efficiency guarantees of best response processes in the context of submodular resource allocation games, which fi...
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作者：Krstic, Miroslav
作者单位：University of California System; University of California San Diego
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作者：Paul, Anik Kumar; Mahindrakar, Arun D.; Kalaimani, Rachel Kalpana
作者单位：Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Madras; Indian Institute of Science (IISC) - Bangalore; Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Madras
摘要：Saddle point problems, ubiquitous in optimization, extend beyond game theory to diverse domains, such as power networks and reinforcement learning. We present novel approaches to tackle saddle point problem, with a focus on continuous-time contexts. A continuous-time dynamics is proposed to tackle saddle point problem utilizing a projected dynamical system in a non-Euclidean domain. This involves computing the (sub/super) gradient of the min-max function within a Riemannian metric. In addition...
