Sentence examples for using the stability theorem from inspiring English sources

Their stability is also described using the stability theorem of non-integer order.

Special attention is given to study the stability and consistency of the method by means of Gerschgorin theorem and using the stability matrix analysis.

The stability of the EASFSC has been proven using the Lyapunov stability theorem.

The stability of the proposed scheme has been shown using the Lyapunov stability theorem.

The stability analysis of the closed-loop system is performed using the Lyapunov stability theorem.

Furthermore, based on the result obtained, the switching law is designed and has been performed well, and some sufficient conditions of robust stability and stabilization have been derived for the uncertain switched discrete-time systems using the Lyapunov stability theorem, block matrix method, and inequality technology.

A theoretical study of the stabilization and switching law design has been performed using the Lyapunov stability theorem and genetic algorithm.

The global stability and error convergence of the closed-loop system are proven by using the Lyapunov stability theorem.

By using the Lyapunov stability theorem and the slack matrix approach, a new less conservative sufficient condition for the regularity, causality, and stability of the considered system is derived, which can also ensure that the studied nonlinear discrete-time singular system has a unique solution.

By using the classical stability theorem of linear fractional order systems, we demonstrate convincingly the existence of fractional-order Lyapunov function and present a mathematical description of fractional-order Lyapunov stability theorem.

The design of the adaptive online learning algorithms is derived by using the Lyapunov stability theorem.