In this paper we determine the orbits of the braid group Bn action on Gn when G is a dihedral group and for any T ∈ Gn. We prove that the following invariants serve as necessary and sufficient conditions for Hurwitz equivalence. They are: the product of its entries, the subgroup generated by its entries, and the number of times each conjugacy class (in the subgroup generated by its entries) is ...

A single-inductor two-input two-output power electronic dc–dc converter can be used to regulate two generally nonsymmetric positive and negative outputs by means of a pulsewidth modulation with a double voltage feedback. This paper studies the dynamic behavior of this system. First, the operation modes and the steady-state properties of the converter are addressed, and, then, a stability analys...

This paper is concerned with delay-dependent stability for continuous systems with two additive time-varying delay components. By constructing a new class of Lyapunov functional and using a new convex polyhedron method, a new delay-dependent stability criterion is derived in terms of linear matrix inequalities. The obtained stability criterion is less conservative than some existing ones. Final...

In this manuscript, Local dynamic behaviors including stability and Hopf bifurcation of a new four-dimensional quadratic autonomous system are studied both analytically numerically. Determining conditions equilibrium points on different parameters derived. Next, the investigated by using Routh-Hurwitz criterion theory, respectively. It is found that initial point supercritical in system. The th...

In the qualitative study of systems ordinary differential equations, we can analyze dynamics solutions by observing whether small variations or modifications in initial conditions produce changes future, this intuitive idea was formalized and studied Lyapunov reflects concept stability. For both linear nonlinear stability using criteria to obtain Hurwitz type polynomials. paper, a prey-predator...

Ž . Let A be an n = n matrix and let s A be its spectrum. The stability Ž . Ž .4 modulus of A is s A s max Re l: l g s A , and A is said to be stable Ž . if s A 0. The stability of a matrix is related to the Routh]Hurwitz problem on the number of zeros of a polynomial that have negative real parts. Much research has been devoted to the latter. The first solution w x dates back to Sturm 21, p. 3...