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作者:Cheng, Daizhan; Zhang, Lijun; Bi, Dongyao
作者单位:Liaocheng University; Chinese Academy of Sciences; Northwestern Polytechnical University; Northwestern Polytechnical University
摘要:A logical function can be used to characterize a property of states of a Boolean network (BN), which is considered as an aggregation of states. The dynamics of a set of logical functions are called the dual dynamics of the set. To illustrate the dual dynamics of a given set, which characterizes our concerned properties of a BN, the invariant subspace containing the set of logical functions is proposed, and its properties are investigated. Then, the invariant subspace of Boolean control network...
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作者:Su, Housheng; Wang, Xiaotian; Gao, Zhiwei
作者单位:Huazhong University of Science & Technology; Northumbria University
摘要:This article studies interval coordination problems for multiagent systems with antagonistic interactions. For strongly connected signed networks, it is shown that when the intersection of intervals imposed by agents is nonempty: the multiagent system achieves bipartite consensus with structurally balanced network; all agents' states must converge to 0, if the signed network is structurally unbalanced. We establish the consensus conditions for bipartite consensus and zero-value consensus by em...
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作者:Yang, Nachuan; Tang, Jiawei; Wong, Yik Ben; Li, Yuzhe; Shi, Ling
作者单位:Hong Kong University of Science & Technology; Northeastern University - China
摘要:This technical article investigates the linear quadratic regulator (LQR) design for continuous-time positive linear systems. Based on positive systems theory and Lyapunov theory, the solvability and optimality of the positivity-preserving LQR problem are analyzed through the lens of optimization, and two projection theorems are derived for single-input and multi-input positive systems, respectively, which paves the way for developing a projected gradient descent algorithm. The proposed results...
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作者:Barrau, Axel; Bonnabel, Silvere
作者单位:Safran S.A.; Universite PSL; MINES ParisTech
摘要:While many works exploiting an existing Lie group structure have been proposed for state estimation, in particular the invariant extended Kalman filter (IEKF), few papers address the construction of a group structure that allows casting a given system into the framework of invariant filtering. In this article, we introduce a large class of systems encompassing most problems involving a navigating vehicle encountered in practice. For those systems we introduce a novel methodology that systemati...
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作者:Jin, Long; Wei, Lin; Li, Shuai
作者单位:Lanzhou University
摘要:In this technical article, to seek the optimal solution to time-dependent nonlinear optimization subject to linear inequality and equality constraints (TDNO-IEC), the gradient-based differential neural-solution, termed as GDN model, is proposed and researched. Notably, TDNO-IEC is first converted into the nonhomogeneous linear equation with the dynamic parameter. Second, differential neural-solution with the aid of gradient is designed. The contrastive theoretical analyses among the GDN model,...
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作者:Bouvier, Jean-Baptiste; Xu, Kathleen; Ornik, Melkior
作者单位:University of Illinois System; University of Illinois Urbana-Champaign; Massachusetts Institute of Technology (MIT)
摘要:When failure is not an option, systems are designed to be resistant to various malfunctions, such as a loss of control authority over actuators. This malfunction consists in some actuators producing uncontrolled and, thus, possibly undesirable inputs with their full actuation range. After such a malfunction, a system is deemed resilient if its target is still reachable despite these undesirable inputs. However, the malfunctioning system might be significantly slower to reach its target compare...
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作者:Mathias, Joel; Meyn, Sean; Moye, Robert; Warrington, Joseph
作者单位:Arizona State University; Arizona State University-Tempe; State University System of Florida; University of Florida; AstraZeneca
摘要:It is now well established that many electric loads are inherently flexible, and this flexibility can be harnessed to provide grid services identical to those obtained today through batteries and responsive generators. This article concerns the resource allocation problem associated with control of a large collection of heterogeneous loads. This problem is posed as a finite-horizon optimal control problem, in which the cost function reflects both the needs of the grid and the needs of the user...
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作者:Alsalti, Mohammad; Lopez, Victor G.; Berberich, Julian; Allgoewer, Frank; Mueller, Matthias A.
作者单位:Leibniz University Hannover; University of Stuttgart
摘要:In this article, we present an extension of Willems' Fundamental Lemma to the class of multi-input-multi-output discrete-time feedback linearizable nonlinear systems, thus providing a data-based representation of their input-output trajectories. Two sources of uncertainty are considered. First, the unknown linearizing input is inexactly approximated by a set of basis functions. Second, the measured output data is contaminated by additive noise. Furthermore, we propose an approach to approximat...
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作者:Atamas, Ivan; Dashkovskiy, Sergey; Slynko, Vitalii
作者单位:University of Wurzburg
摘要:In this article, we develop new methods to construct a Lyapunov function for 1-D linear hyperbolic equations with variable coefficients. The main focus is on the nonstrictly hyperbolic case for which we give an example demonstrating that existing approaches cannot provide sufficient conditions for the asymptotic stability, but our approach does. Sufficient conditions for exponential L-2-stability for a connected 2 x 2 system of linear 1-D hyperbolic systems are obtained. By means of examples, ...
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作者:Cheng, Jun; Park, Ju H.; Wu, Zheng-Guang
作者单位:Guangxi Normal University; Yeungnam University; Hunan University
摘要:This article investigates the asynchronous controller design issue for Markov jump Lur'e systems with singular perturbations within a fixed time interval. For broader practical applications, the variation of system modes is regulated by a switched nonhomogeneous Markov process that corresponded to both lower level nonhomogeneous stochastic jumping and higher level deterministic switching. By resorting to the hidden nonhomogeneous-Markov model, an asynchronous control law that relies on the det...