Results 261 to 270 of about 612,805 (315)
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Robust stabilization—BIBO stability, distance notions and robustness optimization
Automatica, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
P. M. Mäkilä, Jonathan R. Partington
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On Multivariate Robust Stability
SIAM Journal on Control and Optimization, 1992Summary: The notion of robust stability in the multidimensional setting is carefully investigated. In particular, the perturbation function is defined to measure the maximal stability region. Applications to robust stability tests of Kharitonov and Barmish types are obtained.
Chui, Charles K., Mhaskar, H. N.
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Stability and Continuity in Robust Optimization
SIAM Journal on Optimization, 2017Summary: We consider the stability of robust optimization (RO) problems with respect to perturbations in their uncertainty sets. In particular, we focus on robust linear optimization problems, including those with an infinite number of constraints, and consider uncertainty in both the cost function and constraints.
Timothy C. Y. Chan, Philip Allen Mar
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Robust stability of switched systems
53rd IEEE Conference on Decision and Control, 2014This paper presents a linear programming-based method for finding Lyapunov functions of switched systems with polynomial vector fields and parametric uncertainties. We propose to utilize a certificate of positivity in the Bernstein basis to find a Lyapunov function.
Christoffer Sloth, Rafael Wisniewski
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TEACHING STABILITY AND ROBUST STABILITY
IFAC Proceedings Volumes, 1994Abstract The aim of this paper is to demonstrate that, in teaching stability theory for linear systems, there are two basic mathematical foundations which can be used: The principal of the argument and Lyapunov theory, according to the presentation of the system in the operator or time-domain, respectively.
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Cybernetics and Systems, 2010
For a perturbed nonlinear dynamic system of second or higher order, the maximum admissible norm of state variables is derived. The uncertainty in a rectangular box is approximated by an analytic structure with high accuracy.
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For a perturbed nonlinear dynamic system of second or higher order, the maximum admissible norm of state variables is derived. The uncertainty in a rectangular box is approximated by an analytic structure with high accuracy.
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On stability, robustness and fragility
2001 European Control Conference (ECC), 2001The significance of certain basic stability concepts for feedback systems are discussed in the light of the recent interest in non-fragile controller design. It is shown that certain standard controller representations can have vanishing stability margins against controller coefficient perturbations for control problems defined on the doubly-infinite ...
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Robust Stability and Robust Stabilizability
2002Most real systems cannot be represented by linear dynamics, but sometimes, under some assumptions, it is possible to model the dynamical behavior of practical systems with a linear model having some uncertainties. The presence of these uncertainties in the dynamics requires the establishment of robust conditions that can guarantee the stability and/or ...
El-Kébir Boukas, Zi-Kuan Liu
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A method for robust stabilization
Multidimensional Systems and Signal Processing, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Robust Stabilization of an Unmanned Motorcycle
2008 IEEE Conference on Robotics, Automation and Mechatronics, 2008Linearized equations of motion for a motorcycle with small roll angles are derived and used to design a robust cascade control scheme that stabilizes the motorcycle over a range of speeds. Stabilization is achieved by measuring the roll angle and its rate of change, and controlling the steering torque.
Uri Nenner +2 more
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