In nature, each and every phenomenon always tries to attain a stable state. Whether it is an ice cube in a glass of water or the flow of current through a circuit, a steady equilibrium is the desired end result for almost all events. To achieve this stability, there are different criteria, one of them being Bounded Input Bounded Output (BIBO) stability, according to which a finite number of inputs gives a finite number of outputs within restricted time. In this context, all computer algorithms are given a finite number of inputs to give the outputs in finite time.

On the other hand, comprehensive research has been carried out on development of evolutionary algorithms which are popularly used for solving sophisticated optimization problems. Motivated by above concept, a novel stability analysis of the Harmony Search Algorithm (HSA) has been investigated. In order to accomplish this task initially state space model and signal flow graph approaches have been used to build the dynamics of HSA. Thereafter numerous stability analysis tactics are used to evaluate the parameters’ values of HSA, for which the convergence criteria will met.

Dr. Subhabrata Banerjee is a Professor in the department of Electronics and Communication Engineering and Head in Innovation Entrepreneurship Development Cell (IEDC), Institute of Engineering & Management, Kolkata, India. He was awarded National Scholarship by WBED, West Bengal Government. He received his M.Tech. and PhD degrees in Electronics and Telecommunication Engineering from renowned Jadavpur University, Kolkata, India. He initially worked as Programmer Analysist in Cognizant Technology Solution and then was working as Assistant Professor in the Department of Electronics and Communication Engineering at Future Institute of Engineering and Management, Kolkata, India and as Associate Professor in the same institution thereafter. He is now working as Professor in Institute of Engineering and Management, Kolkata, India since 2021. He was authored numerous articles published in prestigious journals including Wireless Personal Communication (Springer), Personal and Ubiquitous Computing (Springer), International Journal of Communication Systems (Wiley) and Institution of Engineering and Technology (IET, UK). He has published more than 30 papers in International Conferences and International Journals of repute. He also published book chapter under IET, UK publication. He has also published a book named Genetic Algorithms and Machine Learning for Python Programmers. His current research interests include Machine Learning, Robotics, IOT, Control System, and Evolutionary Algorithms, Soft Computation.