This paper studies finite-time stability analysis and finite-time stabilization of linear systems by bounded linear time-varying feedback. On the one hand, (both local and global) finite-time ...stability of general nonlinear time-varying systems is investigated by the comparison principle and the notion of finite-time escaping functions. Some Lyapunov-like stability theorems are established. On the other hand, finite-time and prescribed-time stabilization of linear systems by bounded linear time-varying feedback are revisited based on the proposed finite-time stability theorems. Two classes of new time-varying high-gain functions are proposed to reduce the regulation time. Some connections of the proposed results to existing results on Lyapunov-inequality based finite-time stability analysis and nonlinear feedback based finite-time stabilization are revealed. The effectiveness of the proposed methods is illustrated by a numerical example.
Fog computing extends the facility of cloud computing from the center to edge networks. Although fog computing has the advantages of location awareness and low latency, the rising requirements of ...ubiquitous connectivity and ultra-low latency challenge real-time traffic management for smart cities. As an integration of fog computing and vehicular networks, vehicular fog computing (VFC) is promising to achieve real-time and location-aware network responses. Since the concept and use case of VFC are in the initial phase, this article first constructs a three-layer VFC model to enable distributed traffic management in order to minimize the response time of citywide events collected and reported by vehicles. Furthermore, the VFC-enabled offloading scheme is formulated as an optimization problem by leveraging moving and parked vehicles as fog nodes. A real-world taxi-trajectory-based performance analysis validates our model. Finally, some research challenges and open issues toward VFC-enabled traffic management are summarized and highlighted.
This editorial draws attention to time to advance entrepreneurship research by focusing on two aspects of time—time perspective and time management. We initiate a deeper conversation on time in ...entrepreneurship and illustrate the value of a time-based lens for entrepreneurship research through discussing examples at the individual, firm and context levels. These examples consider underdog and portfolio entrepreneurs; well-being; social and unethical entrepreneurial behavior; entrepreneurial teams and entrepreneur–investor dyads; firm strategy; industry and cultural contexts. We review promising methods for time-conscious entrepreneurship research: process, true longitudinal, diary, experience sampling, observational, work-shadowing and time-use studies; historical approaches; experiments; and simulations.
Abstract
In this paper, I focus on Kant’s doctrine of figurative synthesis. Figurative synthesis is the result of the activity of productive transcendental imagination. This is the chief problem of ...the so-called “second proof step” in Kant’s deduction of the categories according to the second edition of the
Critique of Pure Reason
. The pure original synthetic apperception forms in the inner and outer sense - i. e. in time and space - by self-affection structures of order that make it possible to cognize empirical objects. The order of space and time through figurative syntheses (formal intuitions) must be distinguished on the one hand from space and time as forms of intuition and on the other hand from the order of the manifold given in space and time (intuition of particular contents). This clarifies the differences and relations between the constitutive noetic faculties of our knowledge apparatus.
Abstract
This article concerns the unsolved riddle of the continuum of the extension of time and space. It becomes solvable if one takes the two different relationships that can exist between ...extension and point as a basis: the primary relationship in the synthetic continuum and the secondary relationship in the analytical continuum. Time and space can then be deduced from the primary relationship between extension and point as each special extension. And this deduction corresponds exactly to the synthesis of time and space that Kant seeks to develop.
This study addresses the problem of exponential stability for switched singular state-delayed systems with switching induced state jumps, which has not been studied up to now. The considered state ...delay varies in a time-varying interval. On the basis of equivalent dynamics decomposition, a model of state jump at switching instants is firstly established under an assumption that the time length between arbitrary two adjacent switches is larger than the upper bound of the state delay. Then, a sufficient condition on exponential stability of the system under the reranged dwell-time switching constraint is presented. The key idea is the design of a dwell-time-dependent generalised Lyapunov function as well as a dwell-time-dependent function with respect to algebraic variables and application of the Razumikhin approach. The obtained stability condition exploits the lower bound and the upper bound of the dwell time. In addition, it is independent of the size of the state delay and allows the delay to be a fast time-varying function. Finally, two numerical examples are given to show the efficacy of the derived result.
Combining original historical research with literary analysis, Adam Barrows takes a provocative look at the creation of world standard time in 1884 and rethinks the significance of this remarkable ...moment in modernism for both the processes of imperialism and for modern literature. As representatives from twenty-four nations argued over adopting the Prime Meridian, and thereby measuring time in relation to Greenwich, England, writers began experimenting with new ways of representing human temporality. Barrows finds this experimentation in works as varied as Victorian adventure novels, high modernist texts, and South Asian novels—including the work of James Joyce, Virginia Woolf, H. Rider Haggard, Bram Stoker, Rudyard Kipling, and Joseph Conrad. Demonstrating the investment of modernist writing in the problems of geopolitics and in the public discourse of time, Barrows argues that it is possible, and productive, to rethink the politics of modernism through the politics of time.
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