Radio de estabilidad real de sistemas bidimensionales para perturbaciones lineales dependientes del tiempo.
Razumikhin's method in the qualitative theory of processes with delay.
Realization theory methods for the stability investigation of nonlinear infinite-dimensional input-output systems
Realization theory for linear input-output operators and frequency-domain methods for the solvability of Riccati operator equations are used for the stability and instability investigation of a class of nonlinear Volterra integral equations in a Hilbert space. The key idea is to consider, similar to the Volterra equation, a time-invariant control system generated by an abstract ODE in a weighted Sobolev space, which has the same stability properties as the Volterra equation.
Remarks on inertia theorems for matrices
Robust exponential converge controller design for a unified chaotic system with structured uncertainties via LMI.
Robust H control for a class of uncertain neutral systems with both state and control input time-varying delays via a unified LMI optimization approach
Robust hierarchical sliding mode control with state-dependent switching gain for stabilization of rotary inverted pendulum
The rotary inverted pendulum (RIP) system is one of the fundamental, nonlinear, unstable and interesting benchmark systems in the field of control theory. In this paper, two nonlinear control strategies, namely hierarchical sliding mode control (HSMC) and decoupled sliding mode control (DSMC), are discussed to address the stabilization problem of the RIP system. We introduced HSMC with state-dependent switching gain for stabilization of the RIP system. Numerical simulations are performed to analyze...