Stability of dynamic equations on time scale is analyzed. The main results are new conditions of stability, uniform stability, and uniform asymptotic stability for quasilinear and nonlinear systems
In this paper we obtain sufficient conditions for instability and stability to hold for second orde...
Abstract—We revisit the canonical continuous-time and discrete-time matrix algebraic and matrix diff...
The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform ...
Stability of dynamic equations on time scales is investigated in this paper. The main results are ne...
By use of the necessary calculus and the fundamental existence theory for dynamic systems on time sc...
Using the theory of Lyapunov’s second method developed earlier for time scales, we extend our stabil...
We investigate the exponential stability of the zero solution to a system of dynamic equations on t...
We investigate the exponential stability of the zero solution to a system of dynamic equa-tions on t...
AbstractWe study conditions under which the solutions of a time varying linear dynamic system of the...
We consider Lyapunov stability theory of linear time-varying system and derive sufficient conditions...
This monograph is a first in the world to present three approaches for stability analysis of solutio...
Consider the linear dynamic equation on time scales ( ) ( ) ( ) ( ) ( ) [)0 0 0, ; , ,,Tx t A t...
AbstractVery recently, a new theory known as set dynamic equations on time scales has been built. In...
We study hybrid dynamic systems on time scales. Using Lyapunov-like functions, we obtain sufficient ...
1 Abstract. In this work we investigate the exponential stability of the zero solution to systems of...
In this paper we obtain sufficient conditions for instability and stability to hold for second orde...
Abstract—We revisit the canonical continuous-time and discrete-time matrix algebraic and matrix diff...
The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform ...
Stability of dynamic equations on time scales is investigated in this paper. The main results are ne...
By use of the necessary calculus and the fundamental existence theory for dynamic systems on time sc...
Using the theory of Lyapunov’s second method developed earlier for time scales, we extend our stabil...
We investigate the exponential stability of the zero solution to a system of dynamic equations on t...
We investigate the exponential stability of the zero solution to a system of dynamic equa-tions on t...
AbstractWe study conditions under which the solutions of a time varying linear dynamic system of the...
We consider Lyapunov stability theory of linear time-varying system and derive sufficient conditions...
This monograph is a first in the world to present three approaches for stability analysis of solutio...
Consider the linear dynamic equation on time scales ( ) ( ) ( ) ( ) ( ) [)0 0 0, ; , ,,Tx t A t...
AbstractVery recently, a new theory known as set dynamic equations on time scales has been built. In...
We study hybrid dynamic systems on time scales. Using Lyapunov-like functions, we obtain sufficient ...
1 Abstract. In this work we investigate the exponential stability of the zero solution to systems of...
In this paper we obtain sufficient conditions for instability and stability to hold for second orde...
Abstract—We revisit the canonical continuous-time and discrete-time matrix algebraic and matrix diff...
The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform ...
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