3 papers
quant-ph2023
Parsimonious Optimisation of Parameters in Variational Quantum Circuits
Sayantan Pramanik, Chaitanya Murti, M Girish Chandra
Variational quantum circuits characterise the state of a quantum system through the use of parameters that are optimised using classical optimisation procedures that typically rely…
math.OC2014
Using SOS for Analysis of Zeno Stability in Hybrid systems with Nonlinearity and Uncertainy
Chaitanya Murti, Matthew Peet
Hybrid systems exhibit phenomena which do not occur in systems with continuous vector fields. One such phenomenon - Zeno executions - is characterized by an infinite number of disc…
math.OC2014
Constructing Piecewise Polynomial Lyapunov Functions for Local Stability of Nonlinear Systems Using Handelman's Theorem
Reza Kamyar, Chaitanya Murti, Matthew Peet
In this paper, we propose a new convex approach to stability analysis of nonlinear systems with polynomial vector fields. First, we consider an arbitrary convex polytope that conta…