9 citations · 29 across the 10 of their papers we have counts for
11 papers
Stability of Reset and Impulsive Continuous-time Linear Switched Systems
Swapnil Tripathi, Nikita Agarwal
We study stability issue of reset and impulsive switched systems. We find time constraints (dwell time and flee time) on switching signals which stabilize a given reset switched sy…
A combinatorial approach to study subshifts associated with multigraphs
Nikita Agarwal, Haritha Cheriyath, Sharvari Neetin Tikekar
A subshift of finite type over finitely many symbols can be described as a collection of all infinite walks on a digraph with at most a single edge from a vertex to another. The as…
Stability of Bimodal Planar Switched Linear Systems with Both Stable and Unstable Subsystems
Swapnil Tripathi, Nikita Agarwal
We study dynamics of a bimodal planar linear switched system with a Hurwitz stable and an unstable subsystem. For given \textit{flee time} from the unstable subsystem, the goal is…
Stability of bimodal planar linear switched systems
Swapnil Tripathi, Nikita Agarwal
We consider bimodal planar switched linear systems and obtain dwell time bounds which guarantee their asymptotic stability. The dwell time bound obtained is a smooth function of th…
Algorithmic Recourse in Partially and Fully Confounded Settings Through Bounding Counterfactual Effects
Julius von Kügelgen, Nikita Agarwal, Jakob Zeitler +2
Algorithmic recourse aims to provide actionable recommendations to individuals to obtain a more favourable outcome from an automated decision-making system. As it involves reasonin…
On the Perron root and eigenvectors associated with a subshift of finite type
Haritha Cheriyath, Nikita Agarwal
In this paper, we describe the relationship between the Perron root and eigenvectors of an irreducible subshift of finite type with the correlation between the forbidden words in t…
Subshifts of Finite Type with a Hole
Haritha Cheriyath, Nikita Agarwal
This paper examines the relationship between the escape rate and the minimal period of the hole. We consider a subshift of finite type on symbols with a union of cylinders…
Stabilizing Graph-dependent Switched Systems
Nikita Agarwal
We give sufficient conditions for stability of a continuous-time linear switched system consisting of finitely many subsystems. The switching between subsystems is governed by an u…
Product of Expansive Markov Maps with Hole
C Haritha, N Agarwal
We consider product of expansive Markov maps on an interval with hole which is conjugate to a subshift of finite type. For certain class of maps, it is known that the escape rate i…
A Simple Loop Dwell Time Approach for Stability of Switched Systems
Nikita Agarwal
We introduce a novel concept of simple loop dwell time and use it to give sufficient conditions for stability of a continuous-time linear switched system where switching between su…
The -transformation on an interval with a hole
Nikita Agarwal
Let be the expanding map of defined by , where is an integer. Given , let $\mathcal{W}_{k}(a,b)=\{x\in [0,1…