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连续最优控制问题的Lagrange对偶解法
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作者 李乃雄 《广西工学院学报》 CAS 2000年第1期4-7,共4页
本文利用数学规划中的 L agrange对偶及 L agrange乘子理论 ,并根据最优控制与数学规划的关系 ,给出了连续最优控制问题的有别于一般方法的解法——非线性规划的 L agrange对偶解法 ,并就两类具有简单目标泛函的连续最优控制问题的 L
关键词 LAGRANGE对偶 LAGRANGE乘子 解法 连续最优控制
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Optimal Control of a Beam with Discontinuously Distributed Piezoelectric Sensors and Actuators
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作者 Feng Chen Ming Hong +1 位作者 Meiting Song Hongyu Cui 《Journal of Marine Science and Application》 2012年第1期44-51,共8页
Because of its light weight, broadband, and adaptable properties, smart material has been widely applied in the active vibration control (AVC) of flexible structures. Based on a firstorder shear deformation theory, ... Because of its light weight, broadband, and adaptable properties, smart material has been widely applied in the active vibration control (AVC) of flexible structures. Based on a firstorder shear deformation theory, by coupling the electrical and mechanical operation, a 4-node quadrilateral piezoelectric composite element with 24 degrees of freedom for generalized displacements and one electrical potential degree of freedom per piezoelectric layer was derived. Dynamic characteristics of a beam with discontinuously distributed piezoelectric sensors and actuators were presented. A linear quadratic regulator (LQR) feedback controller was designed to suppress the vibration of the beam in the state space using the high precise direct (HPD) integration method. 展开更多
关键词 smart material first-order shear deformation high precise direct (HPD) linear quadratic regulator(LQR) BEAM piezoelectric sensor piezoelectric actuator
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STRONG N-DISCOUNT AND FINITE-HORIZON OPTIMALITY FOR CONTINUOUS-TIME MARKOV DECISION PROCESSES 被引量:1
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作者 ZHU Quanxin GUO Xianping 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2014年第5期1045-1063,共19页
This paper studies the strong n(n =—1,0)-discount and finite horizon criteria for continuoustime Markov decision processes in Polish spaces.The corresponding transition rates are allowed to be unbounded,and the rewar... This paper studies the strong n(n =—1,0)-discount and finite horizon criteria for continuoustime Markov decision processes in Polish spaces.The corresponding transition rates are allowed to be unbounded,and the reward rates may have neither upper nor lower bounds.Under mild conditions,the authors prove the existence of strong n(n =—1,0)-discount optimal stationary policies by developing two equivalence relations:One is between the standard expected average reward and strong—1-discount optimality,and the other is between the bias and strong 0-discount optimality.The authors also prove the existence of an optimal policy for a finite horizon control problem by developing an interesting characterization of a canonical triplet. 展开更多
关键词 Continuous-time Markov decision process expected average reward criterion finite-horizon optimality Polish space strong n-discount optimality
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