International audienceA mechanical system under strongly nonlinear potential and dissipative forces, with nonlinear nonstationary perturbations having zero mean values, is studied. Proposing a special construction of Lyapunov function, the conditions are found, under which the perturbations do not influence the asymptotic stability of the trivial equilibrium position of the system. These conditions include the requirements on asymptotic stability of the disturbance-free system and the relations of the nonlinearity orders between potential and dissipative forces. The developed approach is extended to the problem of monoaxial stabilization of a rigid body
This paper uses a recently developed generalized averaging theory [P.A. Vela and J.W. Burdick, 2003]...
Summary (translated from the Russian): "We construct a family of Lyapunov functions for a very wide ...
In this paper the stability of equilibrium of nonholonomic systems, on which dissipative and noncons...
International audienceA mechanical system under strongly nonlinear potential and dissipative forces,...
In this survey, we introduce the notion of stability of time varying nonlinear systems. In particula...
The article deals with the problem of monoaxial stabilization of an angular position of a rigid body...
The apparatus of Lyapunov functions developed in [Ij for investigating the stability "in the small" ...
The second edition of this textbook provides a single source for the analysis of system models repre...
A mechanical system with linear velocity forces and nonlinear homogeneous positional ones is studied...
When a non-linear system has a strict Lyapunov function, its stability can be studied using standard...
Small periodic in time perturbations of an essentially non-linear differential equation of the secon...
The problem of the absolute stability of systems, having a non-linear stationary part and non-linear...
The Lyapunov stability theory for nonlinear time-varying dynamic system in Banach space is given in ...
The Lyapunov first method generalized to the case of nonlinear differential equations is applied to ...
Theorems and definitions for generation of Liapunov functions for analysis of linear and nonlinear d...
This paper uses a recently developed generalized averaging theory [P.A. Vela and J.W. Burdick, 2003]...
Summary (translated from the Russian): "We construct a family of Lyapunov functions for a very wide ...
In this paper the stability of equilibrium of nonholonomic systems, on which dissipative and noncons...
International audienceA mechanical system under strongly nonlinear potential and dissipative forces,...
In this survey, we introduce the notion of stability of time varying nonlinear systems. In particula...
The article deals with the problem of monoaxial stabilization of an angular position of a rigid body...
The apparatus of Lyapunov functions developed in [Ij for investigating the stability "in the small" ...
The second edition of this textbook provides a single source for the analysis of system models repre...
A mechanical system with linear velocity forces and nonlinear homogeneous positional ones is studied...
When a non-linear system has a strict Lyapunov function, its stability can be studied using standard...
Small periodic in time perturbations of an essentially non-linear differential equation of the secon...
The problem of the absolute stability of systems, having a non-linear stationary part and non-linear...
The Lyapunov stability theory for nonlinear time-varying dynamic system in Banach space is given in ...
The Lyapunov first method generalized to the case of nonlinear differential equations is applied to ...
Theorems and definitions for generation of Liapunov functions for analysis of linear and nonlinear d...
This paper uses a recently developed generalized averaging theory [P.A. Vela and J.W. Burdick, 2003]...
Summary (translated from the Russian): "We construct a family of Lyapunov functions for a very wide ...
In this paper the stability of equilibrium of nonholonomic systems, on which dissipative and noncons...
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