Finite Time Stability Criteria for Nonlinear Fractional Order Dynamical System

In this paper finite time stability criteria for a class of nonlinear fractional order delayed system is addressed. By using the generalized and classical Bellman-Gronwall’s approach sufficient conditions that guarantees system trajectories to stay within the a priori given set is obtained. Keywords: Nonlinear system, multiple time delays, Finite time stability, fractional order syste

Finite Time Stability of Linear Control Systems with Multiple Delays

In this paper, we considered finite time stability of a class of linear control systems. By using suitable matrix measures and Coppel’s inequality a bound for the solution of the linear control system with multiple delays in the state is determined. A sufficient delay dependent conditions for finite time stability of linear control system with delay are derived. Key words: Linear systems, control systems, stability, time delay, Coppel’s inequalit

Stability Results of Nonlinear Integro-differential Equations

In this paper, the stability of a class of nonlinear integro-differential equation is investigated and analyzed. By defining a suitable Lyapunov functional we establish necessary and sufficient condition -for the stability of the zero solution. Our results extends known results in the literature. Keywords: Integro-differential equation, Lyapunov functional, Nonlinear, Stability