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math.OC2019
Yet another approach to the Algebraic Riccati Inequality
A. Sanand Amita Dilip, Harish K. Pillai
We give a rank characterization of the solution set of algebraic Riccati inequality (ARI) for both controllable and uncontrollable systems. Assuming an existence of a solution of t…
math.OC2016
A Complete Characterization of Determinantal Quadratic Polynomials
Papri Dey, Harish K. Pillai
The problem of expressing a multivariate polynomial as the determinant of a monic (definite) symmetric or Hermitian linear matrix polynomial (LMP) has drawn a huge amount of attent…