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Publications Influence

A stabilization algorithm for a class of uncertain linear systems

- I. Petersen
- Mathematics
- 1 March 1987

Abstract This paper presents an algorithm for the stabilization of a class of uncertain linear systems. The uncertain systems under consideration are described by state equations which depend on… Expand

1,348 68

Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory

- P. P. Khargonekar, I. Petersen, Kemin Zhou
- Mathematics
- 1 March 1990

The problem of robustly stabilizing a linear uncertain system is considered with emphasis on the interplay between the time-domain results on the quadratic stabilization of uncertain systems and the… Expand

1,374 37

Optimal guaranteed cost control and filtering for uncertain linear systems

- I. Petersen, D. Mcfarlane
- Mathematics
- 16 September 1994

The paper presents results on the design of robust state feedback controllers and steady-state robust state estimators for a class of uncertain linear systems with norm bounded uncertainty. The state… Expand

517 26

Stability Robustness of a Feedback Interconnection of Systems With Negative Imaginary Frequency Response

- A. Lanzon, I. Petersen
- Mathematics, Computer Science
- IEEE Transactions on Automatic Control
- 16 May 2008

TLDR

224 26- PDF

Robust Kalman Filtering for Signals and Systems with Large Uncertainties

- I. Petersen, A. Savkin
- Engineering
- 10 November 1999

From the Publisher:
The purpose of this new book is to present recent developments in the theory of robust-state estimation for the case in which a process model contains significant uncertainties… Expand

411 22

Minimax optimal control of stochastic uncertain systems with relative entropy constraints

- I. Petersen, M. James, P. Dupuis
- Mathematics, Computer Science
- IEEE Trans. Autom. Control.
- 1 March 2000

TLDR

174 20- PDF

A riccati equation approach to the stabilization of uncertain linear systems

- I. Petersen, C. Hollot
- Mathematics, Computer Science
- Autom.
- 1 July 1986

TLDR

788 19

Feedback Control of Negative-Imaginary Systems

- I. Petersen, A. Lanzon
- Engineering
- IEEE Control Systems
- 16 September 2010

This paper investigates the robustness of positive-position feedback control of flexible structures with colocated force actuators and position sensors. In particular, the theory of… Expand

205 18

Robustness and risk-sensitive filtering

- R. Boel, M. James, I. Petersen
- Mathematics, Computer Science
- IEEE Trans. Autom. Control.
- 7 August 2002

TLDR

120 14

Minimax optimal control of stochastic uncertain systems with relative entropy constraints

- I. Petersen, M. James, P. Dupuis
- Mathematics
- Proceedings of the 36th IEEE Conference on…
- 10 December 1997

Considers a class of discrete time stochastic uncertain systems in which the uncertainty is described by a constraint on the relative entropy between a nominal noise distribution and the perturbed… Expand

119 14