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math.DS2021
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…
math.DS2018
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…
math.DS2018
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…