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Keywords: stochastic systems
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Journal Articles

Instabilities and Pattern Formation in Epidemic Spread Induced by Nonlinear Saturation Effects and Ornstein–Uhlenbeck Noise

Aman Kumar Singh, Cole Buschmeyer, Subramanian Ramakrishnan, Manish Kumar
Journal: ASME Letters in Dynamic Systems and Control
Publisher: ASME
Article Type: Research Papers
Letters Dyn. Sys. Control. January 2025, 5(1): 011002.
Paper No: ALDSC-24-1035
https://doi.org/10.1115/1.4066628
Published Online: October 11, 2024
... stochastic systems systems biology 19 07 2024 10 09 2024 11 09 2024 11 10 2024 Email: manish.kumar@uc.edu 2 Corresponding author. Email: sramakrishnan1@udayton.edu Email: buschmeyerc1@udayton.edu Email: asingh2@udayton.edu We reiterate that higher-order...
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Topics: Diffusion (Physics), Noise (Sound), Pattern formation, Stability, Partial differential equations, White noise, Density
Journal Articles

Multi-Step Gaussian Regression Prediction in Dynamic Systems: A Case Study in Vehicle Lateral Control

Hasan Zakeri, Baisravan HomChaudhuri
Journal: ASME Letters in Dynamic Systems and Control
Publisher: ASME
Article Type: Research Papers
Letters Dyn. Sys. Control. October 2023, 3(4): 041008.
Paper No: ALDSC-23-1035
https://doi.org/10.1115/1.4064172
Published Online: January 8, 2024
... Disturbances ,” J. Process Control , 20 ( 3 ), pp. 248 – 260 . 10.1016/j.jprocont.2009.11.007 [14] Paulson , J. A. , and Mesba , A. , 2018 , “ Nonlinear Model Predictive Control With Explicit Backoffs for Stochastic Systems Under Arbitrary Uncertainty ,” IFAC-PapersOnLine , 51 ( 20 ), pp...
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Topics: Errors, Uncertainty, Vehicles, Simulation results, Safety, Dynamic systems, Modeling, Predictive control
Journal Articles

Generalized Semistability and Stochastic Semistability for Switched Nonlinear Systems Using Fixed Point Theory

Seyyed Shaho Alaviani, Atul G. Kelkar
Journal: ASME Letters in Dynamic Systems and Control
Publisher: ASME
Article Type: Research Papers
Letters Dyn. Sys. Control. July 2023, 3(3): 031011.
Paper No: ALDSC-23-1033
https://doi.org/10.1115/1.4063797
Published Online: November 6, 2023
... stochastic systems switched systems Convergence is the notion wherein every trajectory of the system tends to a limit point. In a convergent system, the limit points of trajectories may or may not be Lyapunov stable. Semistability is the additional requirement in which trajectories converge...
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Topics: Algorithms, Nonlinear systems, Stability, Stochastic systems, Theorems (Mathematics), Discrete time systems
Journal Articles

On the Nonlinear Stochastic Dynamics of an Atomic Force Microscope Cantilever

Aman Kumar Singh, Subramanian Ramakrishnan
Journal: ASME Letters in Dynamic Systems and Control
Publisher: ASME
Article Type: Research Papers
Letters Dyn. Sys. Control. July 2023, 3(3): 031006.
Paper No: ALDSC-23-1040
https://doi.org/10.1115/1.4063601
Published Online: October 31, 2023
... Homogeneous Stochastic Systems ,” ASME J. Appl. Mech. , 76 ( 3 ), p. 031001 . 10.1115/1.3063629 [22] Xu , Y. , Gu , R. , Zhang , H. , Xu , W. , and Duan , J. , 2011 , “ Stochastic Bifurcations in a Bistable Duffing–Van Der Pol Oscillator With Colored Noise ,” Phys. Rev. E...
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Topics: Atomic force microscopy, Cantilevers, Dynamics (Mechanics), Noise (Sound), Probability, Stability, Density, Differential equations