Some Basic Properties of Some Special Matrices. Part III
This article describes definitions of subsymmetric matrix, anti-subsymmetric matrix, central symmetric matrix, symmetry circulant matrix and their basic properties.
Global optimality conditions for a dynamic blocking problem
The paper is concerned with a class of optimal blocking problems in the plane. We consider a time dependent set () ⊂ ℝ, described as the reachable set for a differential inclusion. To restrict its growth, a barrier can be constructed, in real time. This is a one-dimensional rectifiable set which blocks the trajectories of the differential inclusion. In this paper we introduce a definition of “regular strategy”, based on a careful classification of blocking arcs. Moreover, we derive local and global...
Global optimality conditions for a dynamic blocking problem
The paper is concerned with a class of optimal blocking problems in the plane. We consider a time dependent set () ⊂ ℝ, described as the reachable set for a differential inclusion. To restrict its growth, a barrier can be constructed, in real time. This is a one-dimensional rectifiable set which blocks the trajectories of the differential inclusion. In this paper we introduce a definition of “regular strategy”, based on a careful classification...
Equivalent formulation and numerical analysis of a fire confinement problem
We consider a class of variational problems for differential inclusions, related to the control of wild fires. The area burned by the fire at time 0 is modelled as the reachable set for a differential inclusion (), starting from an initial set . To block the fire, a barrier can be constructed progressively in time. For each 0, the portion of the wall constructed within time is described by a rectifiable set () ...
Very true operators on MTL-algebras
The main goal of this paper is to investigate very true MTL-algebras and prove the completeness of the very true MTL-logic. In this paper, the concept of very true operators on MTL-algebras is introduced and some related properties are investigated. Also, conditions for an MTL-algebra to be an MV-algebra and a Gödel algebra are given via this operator. Moreover, very true filters on very true MTL-algebras are studied. In particular, subdirectly irreducible very true MTL-algebras are characterized...
Chaos control and hybrid projective synchronization of a novel chaotic system.
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