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Uncertain linear systems

Fuzzy Optimization and Decision Making, 2014
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Li, Bo, Zhu, Yuanguo
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Robust Stabilization of Uncertain Systems

SIAM Journal on Control and Optimization, 1983
In this paper we consider the systems described by \[dx = Axdt + Budt + \sum_i {\sigma _i F_i xd\beta _i } \qquad {\text{or}}\qquad \dot x = Ax + Bu + \sum_i {B_i F_i (x,t)C_i x,} \] and we will derive conditions under which there exists a feedback control law $u = Kx$ such that the closed loop system is stable for all $\sigma _i $ or (smooth ...
Willems, Jacques L., Willems, Jan C.
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Uncertain Communications: Uncertain Social Systems

Soziale Systeme, 2004
Zusammenfassung Der folgende Essay handelt von einer kritischen Untersuchung der Beziehung zwischen Kommunikation und Unsicherheit im Kontext systemtheoretischer Überlegungen. Der Text verfolgt also das Ziel, an die von Dirk Baecker und Siegfried J.
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OPTIMAL PERTURBATION OF UNCERTAIN SYSTEMS

Stochastics and Dynamics, 2002
In studies of perturbation dynamics in physical systems, certain specification of the governing perturbation dynamical system is generally lacking, either because the perturbation system is imperfectly known or because its specification is intrinsically uncertain, while a statistical characterization of the perturbation dynamical system is often ...
Farrell, Brian F., Ioannou, Petros J.
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Robust filtering for uncertain systems

Signal Processing, 2001
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Neveux, Ph., Thomas, G.
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Model reduction of uncertain systems:approximation by uncertain system

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004
Model reduction is well studied and its use is very common for fixed-coefficients systems. Physical world, however, poses more sophisticated kind of problems: uncertainties in physical parameters cause the system model to have uncertain parameters. In this paper we propose a novel method for model reduction of discrete-time uncertain SISO systems.
Y. Dolgin, E. Zeheb
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Uncertain Linear Systems

2013
This chapter presents a summary of some classical results on robustness analysis of linear dynamical systems. The chapter includes a discussion of deterministic and stochastic signals, linear time-invariant systems in state space form, linear matrix inequalities, and characterization of the \(\mathcal{H}_{2}\) and \(\mathcal{H}_{\infty}\) norms.
Roberto Tempo   +2 more
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Sensitivity controller for uncertain systems

Journal of Guidance, Control, and Dynamics, 1988
In this paper a new controller design, which we Shall call the "trajectory sensitivity optimization" method, is presented to improve the robustness for parameter variations. The method uses the sensitivity trajectory to model the parameter uncertainty and introduces a special quadratic cost function involving an input and output sensitivity term ...
KENJI OKADA, ROBERT SKELTON
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Deconvolution for uncertain systems

2009 6th International Symposium on Mechatronics and its Applications, 2009
The degradation of signals and images can be caused by both natural perturbations and electronic systems, recording linear systems, in which parameters are slowly time-varying such as sensors or other systems of storage. Treatment of the above mentioned systems are discussed. For this purpose, Sekko & al.
Soraya Zenati, Abdelhani Boukrouche
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Control of Uncertain Nonlinear Systems

Journal of Dynamic Systems, Measurement, and Control, 1993
This paper describes some of my research in the analysis and control of nonlinear uncertain systems in which the uncertainties are modeled deterministically rather than stochastically. The main applications are to mechanical/aerospace systems, such as robots and spacecraft; the underlying theoretical approach is based on Lyapunov theory.
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