Search Results (52)

In this paper, a fractional-order active disturbance rejection repetitive control (FADRRC) scheme is proposed for fractional-order time-delay systems. The unified control framework integrates a bandwidth-parameterized fractional extended state observer (FESO), modified repetitive control and a filtered Smith predictor. The FESO online estimates system states and lumped disturbances, the filtered Smith predictor compensates time-delay deviation to weaken sensitivity to model mismatch, and repetitive control eliminates steady-state error for periodic reference signals. By fractional frequency-domain stability theory and the small-gain theorem, two BIBO stability criteria for nominal and mismatched cases are derived, reformulating the controller design as a pole placement problem of fractional-order transfer functions. Numerical simulations on a fractional-order time-delay PMSM servo system verify that the proposed FADRRC possesses superior periodic tracking accuracy and disturbance rejection capability compared with existing ESO-RC and DOB-RC methods, which confirms the validity of the presented control strategy. Full article

This research examines the behavioral shifts within a discrete-time predator–prey framework, constructed by applying the forward Euler discretization to a continuous model. The system incorporates Smith’s growth dynamics for the prey population alongside a Holling type III functional response to characterize predator behavior. Through bifurcation analysis, it is demonstrated that the interior fixed point undergoes stability loss via Neimark–Sacker and period-doubling transitions, leading to the emergence of quasiperiodic oscillations and chaos. Furthermore, the application of normal-form theory verifies the nondegeneracy of these bifurcations and establishes the direction of the resulting orbits. We use phase portraits, Lyapunov exponents, and bifurcation diagrams to confirm the model’s rich dynamics. These numerical tools demonstrate how the system moves from stable equilibria to more intricate behaviors. The application of partial rank correlation coefficients reveals the most influential parameters governing the system’s asymptotic population levels, providing a global perspective on parameter sensitivity. The Ott–Grebogi–Yorke (OGY) chaos control strategy is employed to suppress unwanted bifurcations and stabilize chaotic oscillations within the system. These results underscore the role of nonlinear interactions and discrete-time frameworks in precipitating unpredictable population fluctuations while simultaneously offering a suite of mechanisms for enhancing the stability of ecological networks. Full article

This article develops a systematic reinterpretation of Amartya Sen’s capability approach as a human-centered renewal of the theory of justice grounded in Adam Smith’s moral philosophy. The central claim is that the epistemological foundation of Sen’s theory does not primarily depends on Kantian normativism mediated by Rawls’s theory of justice as fairness, but rather on The Theory of Moral Sentiments, particularly it depends on the concepts of “sympathy”, “impartial spectator”, and justice interpreted as “a social practice”. Through a genealogical reconstruction that brings Aristotle, Adam Smith, and Amartya Sen into dialog, the paper argues that the capability approach can be interpreted as an alternative tradition to Enlightenment theories of justice, because oriented toward human person flourishing and the public evaluation of real freedoms. By overcoming the limits of classical liberal egalitarianism and transcendental institutionalism, the article shows that Sen’s formalization of extended sympathy within social choice theory enables a comparative, pluralistic, and non-dogmatic conception of justice, capable of assessing real social states without recourse to transcendental foundations. In line with the thematic focus of the Special Issue Adam Smith’s Philosophy and Modern Moral Economics, the paper highlights the implications of this interpretation for contemporary moral economics, economic justice, human development, and the role of markets in pluralistic democratic societies. Full article

This article describes the use of dialogue, through the format of critical conversations, as a creative and reflective anti-racist tool to develop understanding of departmental values of anti-racism, equity and social justice with colleagues across academic, technical, and leadership roles. The project focused on the development and facilitation of spaces for dialogue between staff members employed in an education department in a university in a city in the Southwest of England. Making use of concepts from Smith and Lander’s critical pedagogy and critical race theory as well as philosophy for children (P4C), we developed a framework used by adult participants to encourage the development of racial literacy through reflexive practice. More than seventy staff members were invited to attend five sessions over a six-month period. During each session, staff members were given pre-prepared stimuli designed to encourage ‘epistemological shudders’ that stimulate dialogue in relation to professional roles and responsibilities of anti-racism, equity and social justice within our working context. Each session was facilitated by two colleagues, given the agency to make use of the stimuli within the sessions in any way they chose, together with their participants. Feedback from each session was non-mandatory and informal. In this article, we capture our reflections on the processes of developing and adapting P4C within a university education department. We believe that this evolving model acts as a valuable tool for dialogues, particularly when attempting to encourage discussion of topics perceived as providing professional risk due to their sensitive and controversial status within education and more broadly. Full article

This article provides a critical evaluation of Giorgio Agamben’s argument that Adam Smith’s metaphor of the invisible hand is representative of economic theology and providential control. Although Agamben’s analysis does not explicate a nuanced view of the invisible hand, it does reveal the embedded economic theology in its misuse by neoliberal economists who characterise the invisible hand as a fundamental mechanism of market coordination consistent with a providential order. Conversely, this study argues that such perspectives fail to account for the intricacy and ambivalence inherent in Smith’s philosophy. Through textual analysis of the invisible hand in The Theory of Moral Sentiments, The Wealth of Nations, and The History of Astronomy, the manuscript highlights that Smith presents three distinct perspectives and that the theological interpretations do not adequately capture this divergence. Rather than endorsing a providential or theological framework, Smith’s use of the invisible hand is shown to be a conditional and intricate metaphor that serves as a critique, a form of social engagement, ethical commerce, and empirical analysis of irrational belief in markets that support the common good. Therefore, this interpretation transcends economic theology and reductive neoliberal economics, offering a more nuanced understanding with important implications for contemporary economics. Full article

As the strategic debate around corporate purpose intensifies, organizations face a persistent paradox: how to sustain purpose-driven commitments under the continuous pressure of exchange-system efficiency and competing institutional logics. This paper introduces affective infrastructure: the interdependent organizational systems through which firms cultivate and reproduce the emotional and evaluative dimensions of institutional identity. Building on a synthesis of Adam Smith’s moral philosophy and Kenneth Boulding’s integrative systems theory, the paper argues that corporations operate simultaneously as exchange systems and integrative systems and that institutional character emerges from the organizational systems that sustain integrative commitments alongside exchange efficiency. Four infrastructure components are identified (identity alignment systems, integrative human-resource architecture, stakeholder communion practices, and institutional memory mechanisms), and design principles, assessment methods, and organizational illustrations are developed for each. The paper situates the construct within seven adjacent literatures, develops a configurational diagnostic framework comprising six organizational types, and concludes with a structured empirical research agenda that includes proxies for each component. The governing proposition unifying these contributions is this: affective infrastructure explains how organizations sustain integrative capacity under exchange-system pressure as a system—not as a culture to be cultivated, not as a commitment level to be measured, not as a stakeholder orientation to be managed, but as the interdependent organizational architecture through which identity alignment, integrative membership, stakeholder communion, and institutional memory become simultaneously operative and mutually reinforcing. This is what the adjacent constructs, taken individually, cannot explain: no single tradition specifies the generative system through which all four domains become durable together. Full article

Situated within the field of modern Chinese political history, this study investigates the Late Qing New Policies (1901–1911) as a pivotal transition from a traditional tributary empire to a modern multi-ethnic nation-state. A critical limitation in current scholarship is the tendency to reduce these reforms to mere expedients for dynastic preservation, thereby overlooking the complex mechanisms by which they fundamentally reconstructed national identity and interethnic power structures amidst the “triple crisis” of territory, sovereignty, and nationality. To address this, the article employs a comprehensive historical analysis to explore how institutional restructuring in administration, military, and ideology catalyzed the transformation from imperial autocracy toward a “responsible government” framework. The research is distinguished by its innovative application of Anthony D. Smith’s theories of “ethnic” versus “civic” nationalism to deconstruct the “myth-symbol complex” of the Chinese nation, bridging the theoretical divide between the “New Qing History” paradigm and empirical modernization narratives. Findings demonstrate that while the Manchu leadership aimed to secure formal primacy, the practical implementation of reforms engendered a de facto Han-supported power structure, compelling the reconceptualization of the state as a “multi-ethnic constitutional monarchy” and establishing the institutional logic for the “Five Races Under One Union” model. Consequently, this study offers significant academic value by redefining the New Policies as the foundational phase of modern China, providing a crucial theoretical framework for understanding the continuity of China’s multi-ethnic statehood and national identity beyond the dynastic collapse. Full article

If modern readers sometimes find Adam Smith’s laissez-faire market vision in Wealth of Nations difficult to reconcile with his emphasis on sympathy in The Theory of Moral Sentiments, which Smith published in 1759 while serving as Chair of Moral Philosophy at the University of Glasgow, the fault may be ours. For many of Smith’s eighteenth-century contemporaries, the connections between the two books would have been obvious: they were distinct but converging aspects of an Enlightenment project to lay the ethical foundations of an urban middle-class discourse of polite sociability that reflected Britain’s status as a modern transactional society. This focus on the moral dimensions of eighteenth-century Britain’s experience of commercial modernity becomes especially clear when we read Smith in the philosophical context out of which his ideas emerged, including writers such as Joseph Addison, Francis Hutcheson, and David Hume. Closer attention to these earlier writers, especially Steele and Addison’s Spectator, offers a powerful reminder of the philosophical complexity of this project and a timely rejoinder to current efforts to sever economic policies from ethical imperatives in the name of an often brutal protectionism today. Full article

Adam Smith’s The Theory of Moral Sentiments (1759) and The Wealth of Nations (1776) offer a distinctive perspective on moral development that avoids succumbing to the limitations of capitalism and utilitarianism by supporting both moral agency and the importance of enabling structures and systems in commerce. Corruption of moral sentiments cannot be averted by enforcing only mechanical structures and systems of compliance with governance rules, regulations, and disciplinary processes to control employees. Compliance then follows a means-to-an-end logic for maximising profit, which becomes a barrier for autonomous moral development or is even incapable of moral decision-making, as suggested by Hannah Arendt. Smith’s originality lies in grounding this analysis with an affirmative view of human nature and liberty, which enables him to move beyond purely legalistic or moralistic approaches to understand and counter moral failure. Smith offers a distinctive perspective on moral development in commerce, integrating human cognition, moral philosophy, and enabling structural and systemic design that avoids the displacement of responsibility noted by Albert Bandura. For Smith, the corruption of moral sentiments is distorted by the natural need for praise from others at all costs, as opposed to praiseworthy conduct. His remedy is a two-fold process of moral education in which the impartial spectator extends the natural desire for praise to prioritise honour and integrity in behaviour that is praiseworthy. However, moral education also requires a structural social space that is not prescriptive or legalistic to enhance the freedom to develop morally by exercising the choice to strive towards ethical behaviour. In this manner, self-interest enables moral development through natural means that prioritise honourable conduct and perpetuates sympathetic sentiment in which the well-being of others is considered. Full article

To satisfy the stringent requirements of ultra-precision systems for high accuracy and rapid dynamic response, the chatter and system delay of voice coil motor (VCM) under operating conditions have become key bottlenecks restricting overall performance enhancement. To address these challenges, this paper proposes an adaptive convergence rate fractional-order sliding mode control strategy based on a Smith predictor (AFOSMC-SP). The strategy constructs a fractional-order sliding mode controller using an improved Oustaloup method, introduces a novel adaptive reaching law based on a saturation function with dynamic gain, and integrates a Smith predictor to compensate for the current-loop delay in the VCM system. This approach reduces algorithmic complexity and position-tracking error while enabling the adaptive adjustment of the system convergence rate to enhance robustness. In addition, the parameter boundary conditions and the global asymptotic stability of the closed-loop system are analyzed using Lyapunov stability theory. The simulation results show that, compared to conventional sliding mode control methods, the proposed AFOSMC-SP strategy provides superior parameter adaptability, higher tracking accuracy, and stronger suppression of external disturbances. Full article

This article combines computational analysis and historical interpretation to reassess the genre of the Gospel of Mark. Drawing on prototype theory and J. Z. Smith’s comparative method, we model Mark’s linguistic and stylistic profile against a large corpus of ancient Greek texts—including tragedies, biographies, historiographies, novels, and Septuagint (LXX) single-person narratives. Using supervised and unsupervised clustering, the study shows that Mark consistently aligns with the LXX corpus rather than with the Greco-Roman genres traditionally proposed. Even when segmented into smaller textual units (prologues, epilogues, or 1000-word chunks), the Gospel remains anchored in the scriptural prototype of divinely commissioned figures such as Moses, Joseph, or Esther. The results suggest that Mark’s genre is best described as a scriptural narrative of divine agency: a continuation of Israel’s storytelling tradition reimagined within the Greek-speaking world of the first century. Full article

This paper examines the conceptual relationship between Adam Smith’s theory of moral sentiments and Kenneth Boulding’s integrative systems approach to economics. Rather than claiming a direct intellectual lineage, we argue that Boulding’s work addresses a specific limitation in Smith’s moral framework: Smith’s restriction of justice to commutative duties (non-interference with persons, property, and promises) leaves the systematic organization of beneficent motivations underdeveloped, which modern economies require. Through a close analysis of Smith’s concept of beneficence in The Theory of Moral Sentiments and Boulding’s grants economy in The Economy of Love and Fear, we demonstrate that Boulding provides theoretical resources for understanding how moral motivations beyond reciprocal exchange can be systematically integrated into economic analysis. This comparison illuminates both the strengths and limitations of Smith’s naturalistic approach to moral economics. It suggests how contemporary business ethics might move beyond the stakeholder–shareholder debate toward a more comprehensive understanding of corporate moral agency. Full article

Modern traffic management requires sophisticated approaches to address the complexities of urban road networks, which continue to grow in complexity due to increasing urbanization and vehicle usage. Traditional methods often fall short in mitigating congestion and optimizing traffic flow, inducing the exploration of innovative traffic control strategies based on advanced theoretical frameworks. In this sense, we explore different game theory-based control strategies in an eight-intersection traffic network modeled by means of hybrid systems and graph theory, using a software simulator that combines the multi-modal traffic simulation software VISSIM and MATLAB to integrate traffic network parameters and population game criteria. Across five distinct network scenarios with varying saturation conditions, we explore a fixed-time scheme of signaling by means of fictitious play dynamics and adaptive schemes, using dynamics such as Smith, replicator, Logit and Brown–Von Neumann–Nash (BNN). Results show better performance for Smith and replicator dynamics in terms of traffic parameters both for fixed and variable signaling times, with an interesting outcome of fictitious play over BNN and Logit. Full article

Ultrasonic Power Transfer (UPT) offers several advantages over electromagnetic-based wireless power transfer (WPT), but its implementation in the air still faces significant challenges. The low transmission efficiency caused by substantial acoustic energy scattering and absorption and limited output power restricts its use in high-power scenarios. Electrical compensation has proven effective in improving circuit-level performance among various optimization methods, yet its application in air UPT remains underexplored due to the lack of an accurate mathematical model. Traditional modeling approaches, such as the Butterworth–Van Dyke (BVD) model, are unsuitable for air-based UPT systems due to weak coupling and high energy loss. To address these limitations, this paper presents a novel hybrid S-parameter model approach by integrating S-parameter theory with two-port network analysis to improve accuracy and reduce complexity. Based on this model, a novel double-side CL compensation scheme was designed, significantly enhancing the UPT system’s performance while simplifying the compensation circuit design using the Smith chart. Experimental results demonstrate that the proposed scheme enhances efficiency to 2.14% and increases output power to 13.5 mW, significantly improving the transmission performance of the UPT system in the air and offering an effective and practical solution. Full article

The stop-hole technique is a well-known strategy to extend the fatigue life of cracked components. The ability to estimate fatigue life after the hole is important for safety reasons. The objective here is to develop strategies for the accurate prediction of initiation and propagation life ahead of the stop-hole. Experimental work was developed in a Compact-Tension (CT) specimen made of 7050-T7451 aluminium alloy and with a 3 mm diameter hole. A total number of 625,000 load cycles were required to re-initiate the crack after the hole. Crack initiation life after the hole was estimated using the Theory of Critical Distances combined with the Smith–Watson–Topper parameter. A value of a₀ = 31.83 µm was obtained for El Haddad parameter, which was used to define the critical distance. The predicted life was found to be only 4% lower than the experimental value. The fatigue crack growth (FCG) rate was calculated using a node release strategy, assuming that cyclic plastic deformation is the main damage mechanism and that cumulative plastic strain is the crack driving parameter. A good agreement was found between the numerical predictions of da/dN and the experimental results. The main result, however, is the proposed methodology, which allows predicting the initiation and propagation lives in notched components. Full article