二维Mindlin-Timoshenko板系统的稳定性与最优性

Abstract

Abstract:

In this paper, 2-D Mindlin Timoshenko plate system with local boundary control is studied. By using the receding horizon control method, the infinite time domain optimality problem is transformed into the finite time domain optimality problem. With the help of the multiplier technique, a priori estimation is made for any finite time domain system, and the observability inequality is obtained, which proves that the energy of the system is uniformly exponentially decay. Furthermore, with the aid of dual system, by means of the variational principle and Bellman optimality principle, the suboptimal conditions of the system in infinite time domain are obtained, and it is proved that the optimal trajectory is also exponential decay.

Key words: 2-D Mindlin Timoshenko plate, Receding horizon control method, Optimality, Exponential decay

CLC Number:

O231.4

Chunguo Zhang,Yuzhi Fu,Yubiao Liu. Stability and Optimality of 2-D Mindlin-Timoshenko Plate System[J].Acta mathematica scientia,Series A, 2021, 41(5): 1465-1491.

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References 21

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Stability and Optimality of 2-D Mindlin-Timoshenko Plate System

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