Journal of Physical Chemistry & Biophysics
Open Access

TRAJECTORY CONTROLLABILITY OF NONLINEAR SYSTEMS-AN ANALYTICAL AND A NUMERICAL APPROACH

6^th Annual Meet on Advances in Physics, Mathema tics and Applied Science

August 10-11, 2022 | Webinar

Dimplekumar Chalishajar

USA

Scientific Tracks Abstracts: J Phys Chem Biophys

Abstract :

Most of the practical systems are nonlinear in nature. In the control theory we steer the system from the initial state to the final desire state, but we do not know the path (trajectory) along which system moves. If we know the path then we can safe guard the system and also we can minimize the cost involved in steering the system. In this talk we will discuss the new concept called the trajectory control. We will discuss the trajectory controllability of the nonlinear system in finite and infinite dimensions using a monotone operator theory and a fixed point approach. After analytical analysis we will study the numerical analysis of the same systems and their practical approach. Examples will be provided for all different systems to illustrate the theory. I will let you know how analytical results match with the numerical results. We will discuss about the subsequent approaches and the future aspects of this talk for the researchers working in the field of control theory.

Biography :

Professor of Mathematics, Director of Math Study Abroad Program, Chair of International Program Committee, Member of VMIRL Liaison Committee, Department of Applied Mathematics,435 Mallory Hall, Virginia Military Institute(VMI),Letcher Ave., Lexington, VA 24450 USA.