Results 111 to 120 of about 1,823 (264)

T(w)o Patch or Not T(w)o Patch: A Novel Biocontrol Model

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A number of top‐down biocontrol models have been proposed where the introduced predators' efficacy is enhanced via the provision of additional food (AF). However, if the predator has a pest‐dependent monotone functional response, pest extinction is unattainable. In the current manuscript, we propose a model where a predator with pest‐dependent
Urvashi Verma   +2 more
wiley   +1 more source

THE ALGEBRA OF Polynomials

open access: yes, 2003
In this paper we define the algebra of formal power series and the algebra of polynomials over an arbitrary field and prove some properties of these structures. We also formulate and prove theorems showing some general properties of sequences.
Ewa Gradzka
core  

New views of some invariants associated with the Cartesian 2D velocity gradient tensor

open access: yesQuarterly Journal of the Royal Meteorological Society, EarlyView.
Vorticity and divergence of horizontal flow are fundamental quantities in meteorology; both are linear functions of the four elements of the 2D velocity gradient tensor and both are formally unchanged under coordinate rotation. We explore four quadratic functions of the elements that are geometrically invariant in this sense, finding some novel ...
I. Roulstone, S. A. Clough, A. A. White
wiley   +1 more source

Hypersymmetric functions and Pochhammers of 2×2 nonautonomous matrices

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
We introduce the hypersymmetric functions of 2×2 nonautonomous matrices and show that they are related, by simple expressions, to the Pochhammers (factorial polynomials) of these matrices.
A. F. Antippa
doaj   +1 more source

The Algebra of Polynomials

open access: yes, 2008
In this paper we define the algebra of formal power series and the algebra of polynomials over an arbitrary field and prove some properties of these structures. We also formulate and prove theorems showing some general properties of sequences.
Ewa Gradzka
core  

Sliding Mode Control in Aerospace Applications: A Survey

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Sliding mode control (SMC) enjoys robustness to matched and unmatched (in the case of minimum phase input‐output dynamics) bounded perturbations, and finite time convergence. Second‐order and higher‐order sliding mode control systems (2‐SMC/HOSMC) retain all the advantages of sliding mode control, but in addition can be applied to systems of ...
Yuri Shtessel, Christopher Edwards
wiley   +1 more source

Bounds on separated pairs of subgraphs, eigenvalues and related polynomials

open access: yes
We give a bound on the sizes of two sets of vertices at a given minimum distance (a separated pair of subgraphs) in a graph in terms of polynomials and the spectrum of the graph. We find properties of the polynomial optimizing the bound.
Dam, E.R. van
core  

Control Systems Design With Enlarged Stability Domains for Nonlinear Constrained Systems via Sum‐of‐Squares Optimization

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Designing safe control laws for nonlinear systems is challenging, especially when ensuring stability under actuator saturation and state constraints. A key aspect is embedding controllers with a Region of Attraction (ROA), which defines initial conditions guaranteeing convergence to a stable equilibrium point (EP).
Bhaskar Biswas   +3 more
wiley   +1 more source

Determinants of Tridiagonal and Circulant Matrices Special Form by Chebyshev Polynomials

open access: yesJTAM (Jurnal Teori dan Aplikasi Matematika)
Along with the development of science, many researchers have found new methods to determine the determinant of a matrix of more than three orders.
Nurliantika Nurliantika   +2 more
doaj   +1 more source

Matrix measures and random walks [PDF]

open access: yes
In this paper we study the connection between matrix measures and random walks with a tridiagonal block transition matrix. We derive sufficient conditions such that the blocks of the n-step transition matrix of the Markov chain can be represented as ...
Zygmunt, M.   +3 more
core  

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