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Simplifications in multidimensional stability margin computations
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1987Previously published algorithms for the computation of multidimensional stability margins of discrete systems require a stability test of these systems before starting the computational algorithm. In this correspondence, it is shown that the multidimensional stability test may be replaced by single-dimensional tests for one kind of stability margin ...
David Hertz, Ezra Zeheb
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Stability Margins and Optimality
1997For stabilization of an unstable system, feedback is a necessity. With uncertainties in the operating environment, and in system components, feedback is needed to preserve stability and improve performance. However, feedback can also be dangerous. A tighter feedback loop, instead of achieving better performance, may cause instability.
Dr R. Sepulchre +2 more
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Application of a New Robust Stability Margin
IFAC Proceedings Volumes, 1992Abstract The aim of this paper is to derive a new robust stability margin. Known sufficient conditions for robust stability stated in gap-metric sense contain inherent conservativeness in the formulation of the various steps. In this paper conservativeness in one of the steps is removed, resulting in a new robustness margin.
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The Marginal stability in porous inhomogeneous media
Mathematical Proceedings of the Cambridge Philosophical Society, 1961The breakdown of stability in a porous homogeneous medium of a fluid subject to a vertical temperature gradient was examined by Lapwood (4). However, in natural conditions the fluids move generally in inhomogeneous media and then it is important to deal with the problem of stability in these media; the purpose of this paper is to consider just such a ...
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Stability and margin of stability tests for multidimensional filters
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1999The aim of the paper is to investigate stability criteria of E. Zeheb and E. Walach (1981, 1982) for \(n\)-dimensional recursive digital filters. The authors succeed to obtain simplified proofs of the stability and the margin of stability criteria of Zeheb and Walach, using the method of Lagrange multipliers.
Curtin, Eugene, Saba, Salim
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Stability margin via reflection vectors
2003 European Control Conference (ECC), 2003A new stability margin for discrete-time systems is proposed in the system characteristic polynomial coefficient space making use of, so-called, reflection vectors of monic Schur polynomials. Reflection vector margins give the distance to the stability boundary in directions of In reflection vectors of an n-th degree polynomial.
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1970
Abstract : The available stability margin of a turbine propulsion system is a function of a wide range of parameters, many of which are time dependent. Both internal and external effects are considered and the interactions between inlet and engine stability coefficients are discussed.
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Abstract : The available stability margin of a turbine propulsion system is a function of a wide range of parameters, many of which are time dependent. Both internal and external effects are considered and the interactions between inlet and engine stability coefficients are discussed.
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On the Stability Margin of Networked Dynamical Systems
IEEE Transactions on Automatic Control, 2017This paper is concerned with the stability (gain and phase) margin of networked dynamical systems, e.g., vehicles in formation, each of which has access to the state of its neighbors and subsequently uses a state feedback gain $F$ for a certain global objective such as attitude synchronization.
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A Note on Marginal Stability of Switched Systems
IEEE Transactions on Automatic Control, 2007In this note, we present criteria for marginal stability and marginal instability of switched systems. For switched nonlinear systems, we prove that uniform stability is equivalent to the existence of a common weak Lyapunov function (CWLF) that is generally not continuous.
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THE MARGINAL STABILITY OF AUTONOMOUS DIFFERENTIAL EQUATIONS
International Journal of Bifurcation and Chaos, 1993Solutions in the vicinity of a steady state solution to a system of autonomous nonlinear differential equations are of interest to modelers. The usual method for determining marginal stability of the steady state is the Routh-Hurwitz criterion. The method offered here is less complicated and more efficient when the number of state variables exceeds ...
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