A Geometric Characterization of the Persistence of Excitation Condition for the Solutions of Autonomous Systems

2017 ◽  
Vol 62 (11) ◽  
pp. 5666-5677 ◽  
Author(s):  
Alberto Padoan ◽  
Giordano Scarciotti ◽  
Alessandro Astolfi
Keyword(s):  
Autonomous Systems ◽  
Geometric Characterization ◽  
Excitation Condition

scholarly journals Stability of Nonlinear Autonomous Quadratic Discrete Systems in the Critical Case

2010 ◽  
Vol 2010 ◽  
pp. 1-23 ◽  
Author(s):  
Josef Diblík ◽  
Denys Ya. Khusainov ◽  
Irina V. Grytsay ◽  
Zdenĕk Šmarda
Keyword(s):  
Lyapunov Functions ◽  
Critical Case ◽  
Autonomous Systems ◽  
Discrete Systems ◽  
Simple Eigenvalue ◽  
Discrete Equations ◽  
The Matrix ◽  
The Stability ◽  
Important Characterization

Many processes are mathematically simulated by systems of discrete equations with quadratic right-hand sides. Their stability is thought of as a very important characterization of the process. In this paper, the method of Lyapunov functions is used to derive classes of stable quadratic discrete autonomous systems in a critical case in the presence of a simple eigenvalueλ=1of the matrix of linear terms. In addition to the stability investigation, we also estimate stability domains.

Geometric characterization of additively manufactured polymer derived ceramics

2017 ◽  
Vol 18 ◽  
pp. 95-102 ◽  
Author(s):  
Jacob M. Hundley ◽  
Zak C. Eckel ◽  
Emily Schueller ◽  
Kenneth Cante ◽  
Scott M. Biesboer ◽  
...  
Keyword(s):  
Geometric Characterization ◽  
Polymer Derived Ceramics

A Geometric Characterization of Nonnegative Bands

2004 ◽  
Vol 47 (2) ◽  
pp. 257-263
Author(s):  
Alka Marwaha
Keyword(s):  
Invariant Subspace ◽  
Geometric Structure ◽  
Finite Rank ◽  
Special Kind ◽  
Maximal Rank ◽  
Geometric Characterization ◽  
Idempotent Operators ◽  
Rank One ◽  
Standard Subspace

AbstractA band is a semigroup of idempotent operators. A nonnegative band S in having at least one element of finite rank and with rank (S) > 1 for all S in S is known to have a special kind of common invariant subspace which is termed a standard subspace (defined below).Such bands are called decomposable. Decomposability has helped to understand the structure of nonnegative bands with constant finite rank. In this paper, a geometric characterization of maximal, rank-one, indecomposable nonnegative bands is obtained which facilitates the understanding of their geometric structure.

Compatible Tight Riesz Orders

1976 ◽  
Vol 28 (1) ◽  
pp. 186-200 ◽  
Author(s):  
A. M. W. Glass
Keyword(s):  
Geometric Characterization ◽  
Permutation Groups ◽  
Algebraic Characterization ◽  
Partially Ordered ◽  
Ordered Field ◽  
Ordered Groups

N. R. Reilly has obtained an algebraic characterization of the compatible tight Riesz orders that can be supported by certain partially ordered groups [13; 14]. The purpose of this paper is to give a “geometric“ characterization by the use of ordered permutation groups. Our restrictions on the partially ordered groups will likewise be geometric rather than algebraic. Davis and Bolz [3] have done some work on groups of all order-preserving permutations of a totally ordered field; from our more general theorems, we will be able to recapture their results.

Geometric characterization of multivariable quadratically stabilizing quantizers

2006 ◽  
Vol 79 (8) ◽  
pp. 845-857 ◽  
Author(s):  
H. Haimovich ◽  
M. M. Seron ◽  
G. C. Goodwin
Keyword(s):  
Geometric Characterization
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