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Keyword

interval matrices

Description: Interval matrices are matrices whose entries are intervals, representing uncertainty in linear algebra, numerical analysis, and stability studies.
OpenAlex ID: keywords/interval-matrices
Introduction to Interval Analysis
2009 · Ramon E. Moore, R. Baker Kearfott, et al. · Society for Industrial and Applied Mathematics eBooks · 2,599
NP-Hardness of Some Linear Control Design Problems
1997 · Vincent Blondel, John N. Tsitsiklis · SIAM Journal on Control and Optimization · 440
Systems of linear interval equations
1989 · Jiri Rohn · Linear Algebra and its Applications · 376
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Computational complexity and feasibility of data processing and interval computations
1998 · Computers & Mathematics with Applications · 361
Several NP-hard problems arising in robust stability analysis
1993 · A. Nemirovskii · Mathematics of Control Signals and Systems · 263
Interval Arithmetic in Matrix Computations, Part II
1967 · Eldon Hansen, Roberta Smith · SIAM Journal on Numerical Analysis · 250
Linear Control Theory: Structure, Robustness, and Optimization
2009 · S.P. Bhattacharyya, Aniruddha Datta, et al. · Thammasat University Digital Collections · 163
Positive Definiteness and Stability of Interval Matrices
1994 · Jiri Rohn · SIAM Journal on Matrix Analysis and Applications · 149
A necessary and sufficient condition for the stability of interval matrices
1983 · STANISŁAW BIAŁAS · International Journal of Control · 144
Robust stability bounds on time-varying perturbations for state-space models of linear discrete-time systems
1989 · S. R. KOLLA, R. K. YEDAVALLI, et al. · International Journal of Control · 142
Stochastic algorithms for exact and approximate feasibility of robust LMIs
2001 · G. Calafiore, B.T. Polyak · IEEE Transactions on Automatic Control · 130
Bounds of eigenvalues for structures with an interval description of uncertain-but-non-random parameters
1996 · Zhiping Qiu, Suhuan Chen, et al. · Chaos Solitons & Fractals · 118
The extreme eigenvalues and stability of real symmetric interval matrices
1992 · D. Hertz · IEEE Transactions on Automatic Control · 99
New techniques for the analysis of linear interval equations
1984 · Arnold Neumaier · Linear Algebra and its Applications · 98
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Robust stability of interval matrices
2003 · M. Mansour · Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes · 97
Reachable set computation for uncertain time-varying linear systems
2011 · Matthias Althoff, Colas Le Guernic, et al. · International Conference on Hybrid Systems: computation and control · 96
Stability robustness of interval matrices via Lyapunov quadratic forms
1993 · F. Garofalo, G. Celentano, et al. · IEEE Transactions on Automatic Control · 95
Sufficient conditions for stability of interval matrices
1984 · JAMES A. HEINEN · International Journal of Control · 95
Interval Analysis
2017 · Günter Mayer · De Gruyter eBooks · 94
Necessary and sufficient conditions for the Hurwitz and Schur stability of interval matrices
1994 · Kaining Wang, A.N. Michel, et al. · IEEE Transactions on Automatic Control · 94
Reachability analysis of linear systems with uncertain parameters and inputs
2007 · Matthias Althoff, Olaf Stursberg, et al. · Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes · 93
The P-matrix problem is co-NP-complete
1994 · Gregory E. Coxson · Mathematical Programming · 91
A necessary and sufficient condition for robust asymptotic stability of time-variant discrete systems
1993 · P.H. Bauer, K. Premaratne, et al. · IEEE Transactions on Automatic Control · 89
Bounds on Real Eigenvalues and Singular Values of Interval Matrices
2010 · Milan Hladík, David Daney, et al. · SIAM Journal on Matrix Analysis and Applications · 85
Interval Arithmetic in Matrix Computations, Part I
1965 · Eldon Hansen · Journal of the Society for Industrial and Applied Mathematics Series B Numerical Analysis · 83
Works count: 940
Citation count: 12,940
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