Results 221 to 230 of about 64,065 (260)

Diagonal dominance and global stability

Mathematical Social Sciences, 2013
Abstract We show that a natural weakening of diagonal dominance resolves the incompatibility of its standard formulation with the tatonnement of competitive market economies in the presence of either zero-degree homogeneity or Walras’ Law. It thus yields global stability of such unnormalized tatonnement, in addition to normalized tatonnement, just as
Donald C. Keenan, Taewon Kim
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Robust Stability and Diagonal Liapunov Functions

SIAM Journal on Matrix Analysis and Applications, 1990
This paper shows that diagonal Liapunov functions play an essential role in the robust stability problem of linear autonomous continuous and discrete-time systems in state-space form subjected to a broad class of perturbations. The results obtained generalize a well-known result of Persidskii and are related to a variety of similar results in the ...
Eugenius Kaszkurewicz, Amit Bhaya
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The Application of Eigenpair Stability to Block Diagonalization

SIAM Journal on Numerical Analysis, 1997
An algorithm presented in Hager [Comput. Math. Appl., 14 (1987), pp. 561--572] for diagonalizing a matrix is generalized to a block matrix setting. It is shown that the resulting algorithm is locally quadratically convergent. A global convergence proof is given for matrices with separated eigenvalues and with relatively small off-diagonal elements ...
Ghosh, Nilotpal, Hager, William W., Sarmah, Purandar   +2 more
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Matrix Diagonal Stability and Its Implications

SIAM Journal on Algebraic Discrete Methods, 1983
Relations between diagonal stability, stability, positiveness of principal minors and semipositivity are described for several classes of matrices. In particular, it is shown that for matrices whose nondirected graph is acyclic, positiveness of principal minors is equivalent to diagonal stability.
Berman, Abraham, Hershkowitz, Daniel
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On the Stability of Diagonal Actions

Mathematical Notes, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Diagonal stability on cactus graphs

49th IEEE Conference on Decision and Control (CDC), 2010
A square matrix E is said to be diagonally stable if there exists a diagonal matrix D > 0 satisfying DE + ETD < 0. This notion has been instrumental in recent studies on stability of interconnected system models in communication and biological networks, in which the subsystems satisfy prescribed passivity properties and the matrix E combines this ...
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DIAGONALLY-INVARIANT EXPONENTIAL STABILITY

IFAC Proceedings Volumes, 2005
Abstract The diagonally-invariant exponential stability (DIES) is introduced as a special type of exponential stability (ES) which incorporates information about the sets invariant with respect to the state-space trajectories. DIES is able to unify, at the conceptual level, issues in stability analysis that have been separately addressed by previous ...
O. Pastravanu, M.H. Matcovschi, M. Voicu
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Robust diagonal stabilization: an LMI approach

IEEE Transactions on Automatic Control, 2000
Summary: This correspondence addresses the problem of robust diagonal stabilization for discrete-time systems. Linear matrix inequality (LMI) conditions are derived for the search of a diagonal solution to the associated Lyapunov equation. This approach can be applied to guarantee stability of quantized systems and to find numerous applications, e.g ...
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A Stability Criterion of Diagonal Dominance Type

SIAM Journal on Mathematical Analysis, 1978
We consider a stability criterion for solutions of a linear system with coefficient matrix of diagonal dominance type. The result is applied to improve Fink’s result [2] for the existence of almost periodic solutions of Liénard’s equation.
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Matrix Diagonal and D-Stability

2000
This chapter presents the matrix theory concepts of diagonal stability and also of D-stability and gives the properties of these classes of matrices in various cases that are used extensively in the remaining chapters of this book as well as related results that are important in themselves. It is thus intended as a reference chapter for the whole book.
Eugenius Kaszkurewicz, Amit Bhaya
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