Ramdas B. Sonawane

@nwcc.mespune.org

Associate Professor/Mathematics
Ness Wadia College of Commerce, Pune



                 

https://researchid.co/ramdasbs

RESEARCH, TEACHING, or OTHER INTERESTS

Applied Mathematics, Mathematics, Statistics, Probability and Uncertainty, Management Science and Operations Research

3

Scopus Publications

Scopus Publications

  • Exact controllability of wave equation with multiplicative controls


  • Optimal control for a vibrating string with variable axial load and damping gain
    Ramdas B. Sonawane, Anil Kumar, and S.B. Nimse
    Elsevier BV
    Abstract We consider an optimal control problem for a vibrating string with multiplicative distributive control. Multiplicative control is the coefficient u ( x, t ) of velocity term y t . Using multiplicative control, we bring the state solution to the desired profile under a quadratic cost of control.We prove the existence of optimal control. Criterion for characterization of the unique optimal control is provided in the form of optimality system.

  • Numerical optimal control for bilinear hyperbolic PDEs
    Ramdas B. Sonawane, Anil Kumar, and S. B. Nimse
    IEEE
    In this paper, we present a successive approximation scheme to solve finite-time optimal control problem for hyperbolic partial differential equations (PDEs) with additive, multiplicative and boundary controls. We propose an iterative scheme for control design. Finite difference scheme is applied to solve the hyperbolic equation. Control problem is solved using conjugate gradient method. A numerical simulation study shows the effectiveness of this approach.