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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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On the stability radius of a Schur polynomial
Systems & Control Letters, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Q.-H. Wu, Mohamed Mansour
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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 computation of the real Hurwitz-stability radius
IEEE Transactions on Automatic Control, 1995Recently Qiu et al. (1995) obtained a computationally attractive formula for the evaluation of the real stability radius. This formula involves a global maximization over frequency. Here, for the Hurwitz stability case, we show that the frequency range can be limited to a certain finite interval. Numerical experimentation suggests that this interval is
Qiu, Li, Tits, Andre L., Yang, Yaguang
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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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Stability radius of linear delay systems [PDF]
Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251), 1999 We study robust stability of linear time delay systems under structured parameter uncertainty. A formula for complex stability radius is derived. We then consider linear positive delay systems and prove that for this class of systems the complex stability radius is equal to the real stability radius which can be computed via a simple formula.
Pham Huu Anh Ngoc, Nguyen Khoa Son
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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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Stability assessment of distal radius fractures
Injury, 1989A total of 112 consecutive cases of fractures of the distal radius managed conservatively were graded according to radiological criteria using the first radiograph. These criteria, as well as age over 60 years, were considered as gravity factors. A strong correlation was found between these criteria and the risk of secondary displacement, despite a ...
Lafontaine, Murielle +2 more
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On computation of the stability radius for nonlinearly structured perturbations
Systems & Control Letters, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lam, J, Yan, WY
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