Controllability Analysis for Systems with various Effects
Mathematics
Controllability is one of the fundamental properties of control systems which guarantees the ability of the system to be steered from any initial state to a desired final state by using suitable control functions. Controllability analysis for stand-alone systems linear systems has been extensively carried out in the literature. However, for nonlinear systems as well as systems with various other effects like delay, impulses, noises, fuzziness etc in state or control are to be explored for investigation. Also, when several linear systems are connected to form a networked system, the controllability analysis happens to be more non-trivial. Using the tools of functional analysis like spectral theory, fixed point theory, monotone operator theory we carry out controllability analysis of linear as well as nonlinear Systems.
Ref:Vijayakumar S Muni, Raju K George, Controllability of Linear Impulsive Systems - an Eigenvalue Approach, Kybernetika Vol 6 (2020) , No.. 4 , pp. 727 – 752.
Ref:Bhaskar Dubey & Raju K George On the Controllability of Linear and Semilinear Impulsive Systems, Numerical Functional Analysis and Optimization, 39, no. 8, 843–864, , (2018).
https://doi.org/10.1080/01630563.2017.1423327