Add to ORKGUsing linearization principle and tools from chronological calculus one establishes a criteria for stabilization of, usually unstable, equilibrium position of Double Inverted Pendula when subject an arbitrary fast oscillation. Both, planar and spherical cases are considered.Fundação para a Ciência e a Tecnologia (FCT)Dipartimento di Matematica per le Decisione, Università di Firenze, Itali
In this paper, we investigate the elastic inverted pendulum with hysteretic nonlinearity (a back-las...
The stability analysis of constant-coefficient linear systems is extended to systems with periodical...
UnrestrictedA pendulum is statically unstable in its upright inverted state due to the Earth's gravi...
A conventional pendulum has two equilibria, the lower one, and the upper one. This paper presents th...
Using purely elementary methods, necessary and sufficient conditions are given for the existence of ...
The physicochemical and sorption properties of such wastes of the agro-industrial complex of Turkmen...
By the use of intervalmethods it is proven that there exists an unstable periodic solution to the da...
In this paper, modelling design and analysis of a triple inverted pendulum have been done using ...
SUMMARY We consider a general version of the classical problem of the stabilization of the inverted ...
The inverted pendulum with a periodic parametric forcing is considered as a bifurcation problem in t...
In the thesis we investigate motions of an excited pendulum about their equilib- ria. The excitatio...
We study the bifurcations associated with stability of the inverted (stationary) state in the parame...
A sufficient condition to preserve the property of asymptotic stability for a difference analogue of...
In this work a quantitative and qualitative analysis of the dynamical stabilization of an inverted p...
AbstractThe inverted pendulum with small parametric forcing is considered as an example of a wider c...
In this paper, we investigate the elastic inverted pendulum with hysteretic nonlinearity (a back-las...
The stability analysis of constant-coefficient linear systems is extended to systems with periodical...
UnrestrictedA pendulum is statically unstable in its upright inverted state due to the Earth's gravi...
A conventional pendulum has two equilibria, the lower one, and the upper one. This paper presents th...
Using purely elementary methods, necessary and sufficient conditions are given for the existence of ...
The physicochemical and sorption properties of such wastes of the agro-industrial complex of Turkmen...
By the use of intervalmethods it is proven that there exists an unstable periodic solution to the da...
In this paper, modelling design and analysis of a triple inverted pendulum have been done using ...
SUMMARY We consider a general version of the classical problem of the stabilization of the inverted ...
The inverted pendulum with a periodic parametric forcing is considered as a bifurcation problem in t...
In the thesis we investigate motions of an excited pendulum about their equilib- ria. The excitatio...
We study the bifurcations associated with stability of the inverted (stationary) state in the parame...
A sufficient condition to preserve the property of asymptotic stability for a difference analogue of...
In this work a quantitative and qualitative analysis of the dynamical stabilization of an inverted p...
AbstractThe inverted pendulum with small parametric forcing is considered as an example of a wider c...
In this paper, we investigate the elastic inverted pendulum with hysteretic nonlinearity (a back-las...
The stability analysis of constant-coefficient linear systems is extended to systems with periodical...
UnrestrictedA pendulum is statically unstable in its upright inverted state due to the Earth's gravi...