Registered Data

[CT056]

  • Session Time & Room
    • CT056 (1/1) : 4E @G802 [Chair: Marshal Anthoni Selvaraj]
  • Classification
    • CT056 (1/1) : Applications of dynamical systems (37N) / Integral transforms, operational calculus (44A)

[00610] Input-output finite time stabilization for nonlinear networked control systems

  • Session Time & Room : 4E (Aug.24, 17:40-19:20) @G802
  • Type : Contributed Talk
  • Abstract : In this talk, we discuss the problem of input-output finite time stabilization for nonlinear networked control systems with network induced delay. The nonlinear system can be linearized by fuzzy model with weighted membership functions. Memory event-triggering mechanism incorporated to reduce frequent packets transmission. The sufficient stabilization conditions are developed in the form of linear matrix inequalities with aid of Lyapunov stability theory. Finally, numerical example is provided to demonstrate the viability of the suggested approach.
  • Classification : 37N35, 34A34, 93D15, 93D25, 93C42
  • Format : Talk at Waseda University
  • Author(s) :
    • Marshal Anthoni Selvaraj (Anna University Regional Campus Coimbatore)

[00880] Disturbance rejection based modified repetitive control design for stabilization of Takagi–Sugeno fuzzy systems

  • Session Time & Room : 4E (Aug.24, 17:40-19:20) @G802
  • Type : Contributed Talk
  • Abstract : In this talk, the aim is to obtain a disturbance rejection based repetitive control design for the stabilization of Takagi–Sugeno fuzzy systems in presence of aperiodic disturbances. By employing Lyapunov approach, a new set of conditions is derived in the form of linear matrix inequalities to obtain the control gains for ensuring the robust stabilization of the addressed fuzzy systems. Further, numerical simulations are provided to verify the supremacy of the designed control scheme.
  • Classification : 37N35, 93B51, 93D15, 93D25, 93C42
  • Format : Talk at Waseda University
  • Author(s) :
    • Antony Crispin Sweety Charles Selvaraj (Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore)

[02393] Effect of adding reactions on the chemical reaction network sensitivity

  • Session Time & Room : 4E (Aug.24, 17:40-19:20) @G802
  • Type : Contributed Talk
  • Abstract : Biological functions arise from the complex dynamics of reaction networks comprising numerous reactions and chemicals. However, network information is often inaccurate and diverse across species. Previously, we developed the "Structural Sensitivity Analysis", which enables the responses of reaction systems to parameter perturbations to be determined solely from network topology. In this study, we investigate how small alterations to network structure affect system behavior. The results can be classified into five distinct cases based on topology.
  • Classification : 37N25
  • Author(s) :
    • Atsuki Hishida
    • Atsuki Hishida (Kyoto University)
    • Atsushi Mochizuki (Kyoto University)

[00834] Analytical Solution for Linearized Diffusive Wave with Concentrated Lateral Inflow

  • Session Time & Room : 4E (Aug.24, 17:40-19:20) @G802
  • Type : Contributed Talk
  • Abstract : We present a solution for flow depth and discharge at different locations of a finite prismatic channel for linearized diffusive wave approximation with concentrated lateral inflow subjected to water discharge as the upstream boundary and flow depth as the downstream boundary. Laplace transform is used to find the analytical solution. We present some results to show the effect of Peclet number and the point of confluence on discharge and flow depth.
  • Classification : 44A10, 35Q35, 86A05, Hydraulics, River Mechanics
  • Format : Online Talk on Zoom
  • Author(s) :
    • Shiva Kandpal (Indian Institute of Technology Guwahati)
    • Swaroop Nandan Bora (Indian Institute of Technology Guwahati)

[01844] Operational Matrix Based Numerical Scheme for Fractional Differential Equations

  • Session Time & Room : 4E (Aug.24, 17:40-19:20) @G802
  • Type : Contributed Talk
  • Abstract : Fractional calculus is active in many engineering and physics disciplines due to their non-local properties. This non integer order derivative performs well in systems where the next state depends not only on the current state but also upon all of its previous states. Modeling such systems and determining their precise solutions are current research topics of interest. Since finding exact solutions for fractional differential equations is more challenging, developing numerical techniques is a trending research topic. In this paper, we propose the spectral collocation method based on the operational matrix of orthogonal basis polynomials to find the approximate solution of fractional differential equations. Different orthogonal and non orthogonal basis polynomials are considered for the approximation, and a comparative study is made. The operational matrix of fractional order derivatives of basis polynomials is derived as a product of matrices. This matrix together with the collocation method, is employed to transform the fractional differential equations into a set of algebraic equations, which is easier to tackle. The perturbation method is applied to show the stability of the discussed method. The solution achieved by this method is more precise than those obtained from the existing methods like the variational iterational, adomian decomposition method, and finite difference method.
  • Classification : 44Axx, 33C50, 65N35, Fractional Calculus
  • Author(s) :
    • Ashish Awasthi (National Institute of Technology Calicut)
    • Poojitha S (National Institute of Technology Calicut)