27 citations · 49 across the 11 of their papers we have counts for
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Necessary condition on Lyapunov functions corresponding to the globally asymptotically stable equilibrium point
Chirayu D. Athalye, Harish K. Pillai, Debasattam Pal
It is well known that, the existence of a Lyapunov function is a sufficient condition for stability, asymptotic stability, or global asymptotic stability of an equilibrium point of…
Analysis of Stable Periodic Orbits in the 1-D Linear Piecewise-smooth Discontinuous Map
Bhooshan Rajpathak, Harish Pillai, Santanu Bandyopadhyay
In this paper we consider a one dimensional liner piecewise-smooth discontinuous map. It is well known that stable periodic orbits exist in this type of map for a specific paramete…
Analysis of Stable Periodic Orbits in 1-D Linear Piecewise Smooth Maps
Bhooshan Rajpathak, Harish K. Pillai, Santanu Bandopadhyay
By varying a parameter of a one-dimensional piecewise smooth map, stable periodic orbits are observed. In this paper, complete analytic characterization of these stable periodic or…