Practical Applications of Level Proximal Subdifferentials in Variational Analysis and Control Theory
Journal: Region - Educational Research and Reviews DOI: 10.32629/rerr.v7i2.3522
Abstract
This paper explores the practical applications of level proximal subdifferentials in variational analysis and control theory, focusing on their role in handling nonsmooth optimization challenges and enhancing system stability. By examining their use in optimizing complex systems and ensuring robust control under uncertainty, the study demonstrates how level proximal subdifferentials improve adaptability and accuracy in real-world scenarios. Key applications include stability analysis in dynamic systems, adaptive control, and constraint handling. The paper also discusses computational challenges and proposes future research directions to broaden their applicability in high-stakes fields.
Keywords
level proximal subdifferentials, variational analysis, control theory
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[1] Duy P K ,S. B M ,Thanh V P , et al.Generalized damped Newton algorithms in nonsmooth optimization via second-order subdifferentials[J].Journal of Global Optimization,2022,86(1): 93-122.
[2] Singer V, Teschemacher T, Larese A,et al. Lagrange multiplier imposition of non-conforming essential boundary conditions in implicit material point method[J]. Computational Mechanics: Solids, Fluids, Fracture Transport Phenomena and Variational Methods, 2024, (6): 73.
[3] Singh H N, Laha V. On minty variational principle for quasidifferentiable vector optimization problems[J]. Optimization methods & software, 2023, 38(1/3): 243-261.
[4] Mohammadi A,Mordukhovich B S.Variational Analysis in Normed Spaces with Applications to Constrained Optimization[J].S IAM Journal on Optimization, 2021, 31(1): 569-603.
[5] Knossalla M. Continuous Outer Subdifferentials in Nonsmooth Optimization[J]. Set-valued and variational analysis, 2019, 27(3): 665-692.
[2] Singer V, Teschemacher T, Larese A,et al. Lagrange multiplier imposition of non-conforming essential boundary conditions in implicit material point method[J]. Computational Mechanics: Solids, Fluids, Fracture Transport Phenomena and Variational Methods, 2024, (6): 73.
[3] Singh H N, Laha V. On minty variational principle for quasidifferentiable vector optimization problems[J]. Optimization methods & software, 2023, 38(1/3): 243-261.
[4] Mohammadi A,Mordukhovich B S.Variational Analysis in Normed Spaces with Applications to Constrained Optimization[J].S IAM Journal on Optimization, 2021, 31(1): 569-603.
[5] Knossalla M. Continuous Outer Subdifferentials in Nonsmooth Optimization[J]. Set-valued and variational analysis, 2019, 27(3): 665-692.
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