Absolute stability of NLTV discrete systems

Robust Absolute Stability of Time-Varying Nonlinear Discrete-Time Systems

This paper studies the problem of robust absolute stability of a class of nonlinear discrete-time systems with time-varying matrix uncertainties of polyhedral type and multiple time-varying sector nonlinearities. By using the variational method and the Lyapunov second method, criteria for robust absolute stability are obtained in different forms for the class of systems under consideration. Spe...

Absolute Stability of Discrete-Time Systems with Delay

Strongly Absolute Stability Problem of Descriptor Systems

This paper considers Lur’e type descriptor systems (LDS). The concept of strongly absolute stability is defined for LDS and such a notion is a generalization of absolute stability for Lur’e type standard state-space systems (LSS). A reduced-order LSS is obtained by a standard coordinate transformation and it is shown that the strongly absolute stability of the LDS is equivalent to the absolute ...

Parametric Absolute Stability of Lur’e Systems

The concept of parametric stability is extended to include Lur’e-type nonlinear control systems with uncertain parameters and constant reference inputs. Conditions for parametric absolute stability are derived, which guarantee that the system remains stable despite uncertainty of equilibrium location caused by parametric uncertainties and values of the reference input. The conditions can be tes...

Stability of Discrete Sampled Systems

We consider the wide class of real-time systems that periodically sample their inputs. A desirable property of such systems is that their outputs should be, in some sense, more precise when the sampling period gets shorter. An approximation of this property consists in requiring that, whenever the inputs don’t change, the outputs stabilize after a finite number of steps. We present a set of heu...