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[CT194]

CT194 (2/1) : Inverse problems for integral equations (45Q) / Partial differential equations (35-) / Model systems in control theory (93C)

Session Time & Room : 1D (Aug.21, 15:30-17:10) @A208
Type : Contributed Talk
Abstract : In this talk, we will discuss an algorithm for reconstructing multipolar acoustic sources using sparse far-field multifrequency measurements of the scattered field. A hybrid Fourier algorithm exploiting the low rank of the structured Hankel matrix associated with the scattered field is designed. The sparse data is first linked to the Fourier coefficients of the source, then enriched using an annihilation-filter-based Hankel matrix completion approach (ALOHA), and finally inverted for sources using the inverse Fourier transform.
Classification : 45Qxx, 65Txx, Machine Learning
Format : Talk at Waseda University
Author(s) :
- Abdul Wahab (Nazarbayev University)
- Abdul Wahab (Nazarbayev University)

Session Time & Room : 1D (Aug.21, 15:30-17:10) @A208
Type : Contributed Talk
Abstract : In this talk, we prove an existence and locally attractivity result for Volterra type nonlinear perturbed random integral equations in separable Banach space under mixed generalised compactness, contraction and caratheodory conditions and also we will prove the existence of maximal and minimal solution Volterra type nonlinear random integral equations with some applications. These types of Volterra type nonlinear perturbed random integral equations are used in various natural phenomena in which randomness occurs.
Classification : Existence of Solutions and their properties, Random Integral Equations, Applications in Abstract Spaces
Format : Online Talk on Zoom
Author(s) :
- SIDDHARTH GANESH SHETE (Swami Ramanand Teerth Marathwada University Nanded Maharashtra )

Session Time & Room : 1D (Aug.21, 15:30-17:10) @A208
Type : Contributed Talk
Abstract : We analyse a Poisson-Nernst-Planck-Fermi model to describe the evolution of a mixture of finite size ions in liquid electrolytes, which move through biological membranes or nanopores. The global-in-time existence of bounded weak solutions and the weak-strong uniqueness result are proved, via entropy and relative entropy, respectively. Furthermore, an implicit Euler finite-volume scheme for the model is analysed and some simulations are shown.
Classification : 35-XX, Mathematical and numerical analysis of cross-diffusion system via entropy and relative entropy
Format : Online Talk on Zoom
Author(s) :
- Annamaria Massimini (TU Wien)
- Ansgar Jüngel (TU Wien)

Session Time & Room : 1D (Aug.21, 15:30-17:10) @A208
Type : Contributed Talk
Abstract : The prime intent of this study is to resolve the multiple faults reconstruction and state tracking issues for the interval type-2 fuzzy systems subject to actuator and sensor faults by using an active fault-tolerant tracking control law based on an unknown input observer approach. Moreover, a set of sufficient conditions namely linear matrix inequality is derived to ensure the tracking performance of the addressed system. Eventually, the derived theoretical results are verified through numerical examples.
Classification : 93CXX, 37MXX, 37N35, 34H05, 34H15
Author(s) :
- Anusuya Sundaram (Bharathiar University)
- Sakthivel Rathinasamy (Bharathiar University)

Session Time & Room : 1D (Aug.21, 15:30-17:10) @A208
Type : Contributed Talk
Abstract : A robust reliable boundary control problem for a class of parabolic PDE systems with semi-Markov switching subject to actuator faults, randomly occurring uncertainties and nonlinearities is investigated. Particularly, randomness phenomena are characterized by stochastic variables obeying Bernoulli distribution properties. A boundary controller is developed to ensure the robust performance of the considered system. Sufficient conditions for guaranteeing the input-output finite-time stabilization of the closed-loop system are derived. Proposed method is validated through simulation outcomes.
Classification : 93CXX, 37MXX, 37N35, 34H05, 34H15
Author(s) :
- Abinandhitha Radhakrishnan (Bharathiar University)
- Sakthivel Rathinasamy (Bharathiar University)