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The Stability Radius: A New Indicator of Unconditional Stability for N-Port Linear Networks
IEEE Microwave and Wireless Components Letters, 2022A new indicator of unconditional stability is proposed, which is well suited to $N$ -port networks called the stability radius. When compared to previous work on this subject, the new indicator is unique, irrespective of $N$ , and has a clear ...
S. Colangeli +4 more
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ON THE STABILITY RADIUS OF SWITCHED POSITIVE LINEAR SYSTEMS
Journal of Military Science and Technology, 2020This article investigates the stability radius based on exponentially stable of switched positive linear systems. A lower bound and upper bound for this radius with respect to structured affine positive perturbations of the system's parameters are ...
Ngoc
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, 1993 In Chapters 8 and 9, the stability of polynomial families $$ P\left( {s,Q} \right)\; = \;\left\{ {p\left( {s,q} \right)\;|\;q\; \in \;Q} \right\}$$ (1) with p(s, q) = ao(4) + ai(4)s +… + an(q)sn and q, E [4,; 4:], i = 1, 2,…, € was investigated. The primary interest was necessary and sufficient conditions for stability.
Reinhold Steinhauser +4 more
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IET Control Theory & Applications, 2019
This study initially considers the relationship between stability radius and L σ -gain of linear time-invariant positive systems. The L 1 -, L 2 -, and L ∞ -gains of an asymptotically stable positive system are characterised in terms of stability ...
B. Shafai, M. Naghnaeian, Jie Chen
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This study initially considers the relationship between stability radius and L σ -gain of linear time-invariant positive systems. The L 1 -, L 2 -, and L ∞ -gains of an asymptotically stable positive system are characterised in terms of stability ...
B. Shafai, M. Naghnaeian, Jie Chen
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On the stability radius of a Schur polynomial
Systems & Control Letters, 1993Abstract The robust Schur stability of a polynomial with uncertain coefficients will be investigated. The stability hypersphere for such polynomials will be determined in terms of Tshebyshev Polynomials.
Q.-H. Wu, Mohamed Mansour
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On the Method by Rostami for Computing the Real Stability Radius of Large and Sparse Matrices
SIAM Journal on Scientific Computing, 2016In a recent paper, Rostami [SIAM J. Sci. Comput, 37 (2015), pp. S447--S471] has presented an interesting algorithm for the computation of the real pseudospectral abscissa and the real stability radius (aka the distance to instability) of a square matrix $
N. Guglielmi
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SIAM Journal on Scientific Computing, 2015
We present two new algorithms for investigating the stability of large and sparse matrices subject to real perturbations. The first algorithm computes the real structured pseudospectral abscissa and is based on the algorithm for computing the ...
Minghao W. Rostami
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We present two new algorithms for investigating the stability of large and sparse matrices subject to real perturbations. The first algorithm computes the real structured pseudospectral abscissa and is based on the algorithm for computing the ...
Minghao W. Rostami
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Maximizing the stability radius: an LMI approach [PDF]
Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148), 2001 Given a stabilizable linear system Ex/spl dot/ = Ax + Bu with sE - A regular, we analyze the stability robustness of the closed-loop system (E + BK) = (A + BF)x + v, obtained by proportional and derivative (PD) state feedback u = Fx Kx/spl dot/ + v. Our goal is to maximize the stability radius of the closed-loop system matrix s(E + BK) - (A + BF) over ...
R. Ştefan, C. Oari, P. Van Dooren
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Subspace Methods for Computing the Pseudospectral Abscissa and the Stability Radius
SIAM Journal on Matrix Analysis and Applications, 2014The pseudospectral abscissa and the stability radius are well-established tools for quantifying the stability of a matrix under unstructured perturbations. Based on first-order eigenvalue expansions, Guglielmi and Overton [SIAM J. Matrix Anal. Appl., 32 (
D. Kressner, Bart Vandereycken
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On the Real Structured Stability Radius
IFAC Proceedings Volumes, 1993Abstract This paper presents a formula for the real structured stability radius with respect to an arbitrary stability region in the complex plane. This formula can be easily computed.
Anders Rantzer +5 more
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