15 citations · 17 across the 4 of their papers we have counts for
4 papers
Generalizing Negative Imaginary Systems Theory to Include Free Body Dynamics: Control of Highly Resonant Structures with Free Body Motion
M. A. Mabrok, A. G. Kallapur, I. R. Petersen +1
Negative imaginary (NI) systems play an important role in the robust control of highly resonant flexible structures. In this paper, a generalized NI system framework is presented.…
Robust Smoothing for Discrete-Time Uncertain Nonlinear Systems
Abhijit G. Kallapur, Ian R. Petersen
This paper derives recursion equations for a robust smoothing problem for a class of nonlinear systems with uncertainties in modeling and exogenous noise sources. The systems consi…
Min-Plus Techniques for Set-Valued State Estimation
Abhijit G. Kallapur, Srinivas Sridharan, William M. McEneaney +1
This article approaches deterministic filtering via an application of the min-plus linearity of the corresponding dynamic programming operator. This filter design method yields a s…
A New Stability Result for the Feedback Interconnection of Negative Imaginary Systems with a Pole at the Origin
Mohamed A. Mabrok, Abhijit G. Kallapur, Ian R. Petersen +1
This paper is concerned with stability conditions for the positive feedback interconnection of negative imaginary systems. A generalization of the negative imaginary lemma is deriv…