In this paper, an event-triggered near optimal control structure is developed for nonlinear continuous-time systems with control constraints. Due to the saturating actuators, a nonquadratic cost function is introduced and the Hamilton-Jacobi-Bellman (HJB) equation for constrained nonlinear continuous-time systems is formulated. In order to solve the HJB equation, an actor-critic framework is presented. The critic network is used to approximate the cost function and the action network is used to estimate the optimal control law. In addition, in the proposed method, the control signal is transmitted in an aperiodic manner to reduce the computational and the transmission cost. Both the networks are only updated at the trigger instants decided by the event-triggered condition. Detailed Lyapunov analysis is provided to guarantee that the closed-loop event-triggered system is ultimately bounded. Three case studies are used to demonstrate the effectiveness of the proposed method.
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Math Biosci Eng
December 2024
Institute of of Information Technology, Warsaw University of Life Sciences - SGGW, Nowoursynowska 159 Street, building 34, 02-776 Warsaw, Poland.
In this paper, we introduce and analyze a discrete-time model of an epidemic spread in a heterogeneous population. As the heterogeneous population, we define a population in which we have two groups which differ in a risk of getting infected: a low-risk group and a high-risk group. We construct our model without discretization of its continuous-time counterpart, which is not a common approach.
View Article and Find Full Text PDFSchizophr Bull
January 2025
Department of Psychiatry, University of California San Diego, La Jolla, CA 92093, United States.
Background And Hypothesis: For the rapidly growing population of older people living with schizophrenia (PLWS), psychological resilience, or the capacity to adapt to adversity, is an understudied target for improving health. Little is known about resilience and its longitudinal impact on outcomes among PLWS. This study assesses trajectories of resilience-related traits in PLWS and a nonpsychiatric comparison group (NCs) and longitudinal interactions between resilience and health.
View Article and Find Full Text PDFEntropy (Basel)
December 2024
Department of Machine Learning and Neural Computing, Donders Institute for Brain, Cognition and Behaviour, Radboud University, 6500HB Nijmegen, The Netherlands.
Learning is a fundamental property of intelligent systems, observed across biological organisms and engineered systems. While modern intelligent systems typically rely on gradient descent for learning, the need for exact gradients and complex information flow makes its implementation in biological and neuromorphic systems challenging. This has motivated the exploration of alternative learning mechanisms that can operate locally and do not rely on exact gradients.
View Article and Find Full Text PDFRisk Anal
January 2025
School of Management, Beijing Institute of Technology, Beijing, China.
This study explores the risk management challenges associated with safety-critical systems required to execute specific missions. The working component experiences degradation governed by a continuous-time discrete-state Markov chain, whose failure leads to an immediate system breakdown and safety losses. To enhance system survivability, a limited number of identical spares are available for online replacement throughout the mission.
View Article and Find Full Text PDFPrev Vet Med
December 2024
School of Veterinary Medicine and Science, University of Nottingham, Sutton Bonington Campus, Leicestershire LE12 5RD, United Kingdom.
Paratuberculosis (Johne's disease), caused by Mycobacterium avium subsp. paratuberculosis (MAP), is a common, economically-important and potentially zoonotic contagious disease of cattle, with worldwide distribution. Disease management relies on identification of animals which are at high-risk of being infected or infectious.
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