نتایج جستجو برای: uniform asymptotic stability

تعداد نتایج: 463076  

Journal: :Journal of Mathematical Analysis and Applications 1969

In this article, we introduce the fractional differential systems in the sense of the Weber fractional derivatives and study the asymptotic stability of these systems. We present the stability regions and then compare the stability regions of fractional differential systems with the Riemann-Liouville and Weber fractional derivatives.

Journal: :Methods and Applications of Analysis 1994

Journal: :Journal of Mathematical Analysis and Applications 2016

Journal: :Methods and Applications of Analysis 1994

2015
Moussadek Remili

The objective of this study was to get some sufficient conditions which guarantee the asymptotic stability and uniform boundedness of the null solution of some differential equations of third order with the variable delay. The most efficient tool for the study of the stability and boundedness of solutions of a given nonlinear differential equation is provided by Lyapunov theory. However the con...

2006
Frédéric Mazenc Michael Malisoff Marcio S. de Queiroz

We explicitly construct global strict Lyapunov functions for rapidly time-varying nonlinear control systems. The Lyapunov functions we construct are expressed in terms of oftentimes more readily available Lyapunov functions for the limiting dynamics which we assume are uniformly globally asymptotically stable. This leads to new sufficient conditions for uniform global exponential, uniform globa...

2006
Frédéric Mazenc Michael Malisoff Marcio S. de Queiroz

We explicitly construct global strict Lyapunov functions for rapidly time-varying nonlinear control systems. The Lyapunov functions we construct are expressed in terms of oftentimes more readily available Lyapunov functions for the limiting dynamics which we assume are uniformly globally asymptotically stable. This leads to new sufficient conditions for uniform global exponential, uniform globa...

2006
Frédéric Mazenc Michael Malisoff Marcio S. de Queiroz

We explicitly construct global strict Lyapunov functions for rapidly time-varying nonlinear control systems. The Lyapunov functions we construct are expressed in terms of oftentimes more readily available Lyapunov functions for the limiting dynamics which we assume are uniformly globally asymptotically stable. This leads to new sufficient conditions for uniform global exponential, uniform globa...

Journal: :IEEE Trans. Robotics and Automation 2001
Fabio Conticelli Benedetto Allotta

In this paper, a novel adaptive visual feedback scheme is presented to solve the problem of controlling the relative pose between a robot camera and a rigid object of interest. By exploiting nonlinear controllability properties, uniform asymptotic stability in the large of the image reference set-point is proved using Lyapunov’s direct method. Moreover, uniform boundedness of the whole state ve...

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