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Linear quadratic optimal control problems of infinite-dimensional mean-field type with jumps

Abstract

In this paper, we formulate and investigate a framework for the theory of the linear quadratic optimal control problem (LQ problem) for infinite-dimensional mean-field stochastic evolution systems with jumps. We ensure the well-posedness of the investigated problems by establishing the existence, uniqueness, and a priori estimates for mild solutions to general infinite-dimensional mean-field forward stochastic evolution equations (MF-SEE) and mean-field backward stochastic evolution equations (MF-BSEE) with jumps. Leveraging the Yosida approximation theory, we establish a dual theory between MF-SEE and MF-BSEE with jumps, overcoming the challenge posed by the inapplicability of It & ocirc;'s formula in the context of mild solutions. Our main results regarding the existence and uniqueness of the optimal control, along with corresponding dual characterizations and state feedback representations, are obtained through convex analysis techniques, our established dual theory, and decoupling methods.

article Article; Early Access

date_range 2024

language English

link Link of the paper

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Wang Shijun

Tang Maoning

Meng Qingxin

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Featured Keywords

feedback representation

Hamiltonian system

mean field

Poisson random martingale measures

Yosida approximation

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Assessment of reinforced concrete building damages following the Kahramanmaraş earthquakes in Malatya, Turkey (February 6, 2023)

Abstract

Earthquakes of magnitude Mw = 7.7 and Mw = 7.6 hit the city of Kahramanmaraş (Turkey) on 6 February 2023. These earthquakes caused serious damage in 11 provinces in Turkey resulting in over 50,000 deaths and huge economic losses with the collapse of thousands of buildings. Two consecutive devastating earthquakes have severely damaged the reinforced concrete building stock located in Malatya. There are many reasons reinforced concrete structures suffer damage under the influence of seismic loads. These reasons can be listed as material and section properties that do not comply with earthquake codes, workmanship defects, ground parameters that are not considered and design errors, as seen in field investigations after earthquakes in Turkey in the past. In this research, a field study was conducted on reinforced concrete buildings damaged after the earthquakes in Malatya province. The causes of structural damages in reinforced concrete buildings between 6–26 years of age were assessed in terms of design and material defects. The structural damages were mainly caused due to insufficient stirrups in structural members, short column, strong beam–weak column, failures of infill walls, soft story type collapse, poor concrete quality, and reinforcement corrosion. In addition to the field investigation, the spectrum relationships created using raw acceleration data obtained from DEMP (Disaster and Emergency Management Presidency) stations in Malatya province were compared with the design response spectra.

article Article

date_range 2024

language English

link Link of the paper

Collapsed buildings

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