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[CT068]

Session Date & Time : 1E (Aug.21, 17:40-19:20)
Type : Contributed Talk
Abstract : The work deals with the control problem for linear stochastic time varying system driven by square integrable stochastic process with zero mean and continuous sample paths. The cost functional is considered to be quadratic in the system state and the control. The completion of squares technique is used to establish the existence of optimal control under the family of non-adapted admissible control.
Classification : 49N05, 49N10, 93C05, 93C40
Author(s) :
- Murugan Suvinthra (Bharathiar University)

Session Date & Time : 1E (Aug.21, 17:40-19:20)
Type : Contributed Talk
Abstract : The article is devoted to study the class of higher-order variational problems, which involves the interval-valued objective function. For this class, we have considered the Mond-Weir type dual. Along-with this, a functional which is higher-order invex but not invex is analyzed. We then theoretically studied the primal and dual values under the assumptions of higher-order invexity. Numerical example has been illustrated to justify the efficiency of the proposed model. Additionally, a real-world example has been used to prove the weak duality theorem.
Classification : 49N15, 90C26, 90C30, 90C46
Author(s) :
- Vivek Dhingra (Thapar Institute of Engineering & Technology, Patiala)

Session Date & Time : 1E (Aug.21, 17:40-19:20)
Type : Contributed Talk
Abstract : We deal with a problem of minimizing the guaranteed result under disturbances for a control system described by a differential equation. The novelty is functional-type constraints on disturbances. This adds to consideration, for example, control problems with unknown parameters, with breakdowns, or with neutral disturbances. As these constraints do not allow the use of known solution methods, we provide a new one for some important cases and give illustrative examples.
Classification : 49N30, 93C41, 49N70, 93C15, 49L20
Author(s) :
- Dmitrii A. Serkov (Krasovskii institute of mathematics and mechanics)

Session Date & Time : 1E (Aug.21, 17:40-19:20)
Type : Contributed Talk
Abstract : In this presentation, we describe the difficulties with partially observable stochastic control, POSC, and then propose memory-limited POSC, ML-POSC, to solve them. POSC does not consider memory limitation, which hampers the applications to actual controllers. Furthermore, POSC needs to solve a functional differential equation, which is intractable even numerically. In contrast, ML-POSC explicitly formulates limited memories of controllers. Additionally, ML-POSC reduces a functional differential equation to a partial differential equation by the mean-field control technique.
Classification : 49N30, 49N80, 49K45, 93E20
Author(s) :
- Takehiro Tottori (The University of Tokyo)
- Tetsuya J. Kobayashi (The University of Tokyo)

Session Date & Time : 1E (Aug.21, 17:40-19:20)
Type : Contributed Talk
Abstract : Conformal energy minimization is an efficient approach to computing conformal parameterizations. In this talk, we introduce a stable minimization of discrete conformal energy (SMDCE) algorithm for conformal parameterizations of simply connected open surface. The stability of SMDCE is reflected in the guarantee of the one-to-one and onto properties of the computed parameterization and the insensitivity to the initial value. The numerical experiments indicate the stability and competitiveness with state-of-the-art algorithms in terms of efficiency.
Classification : 52C26, 49Q10, 68U05
Author(s) :
- Zhong-Heng Tan (School of Mathematics, Southeast University)
- Zhenyue Zhang (Nanjing Center for Applied Mathematics)