General Solution and Observability of Singular Differential Systems with Delay

Stability of Solution for Nonlinear Singular Systems with Delay

In this paper, we present new definitions of stability for singular systems with delay by using the thoughts of B.Baji'c and M.Mili'c, and establish theorem on stability. Then the sufficient conditions for uniformly stability of a class of special nonlinear singular systems with delay are given.

Observability and detectability of singular linear systems with unknown inputs

In this paper the strong observability and strong detectability of a general class of singular linear systems with unknown inputs are tackled. The case when the matrix pencil is non-regular is comprised (i.e., more than one solution for the differential equation is allowed). It is shown that, under suitable assumptions, the original problem can be studied by means of a regular (non-singular) li...

Variation Formulae for Time Varying Singular Fractional Delay Differential Systems

In this paper, the Caputo time varying singular fractional differential systems with delay and the Riemann-Liouville time varying singular fractional differential systems with delay are considered . By the D− inverse matrix and α − δ function, two fundamental solutions are given. The variation formulae for time varying singular fractional differential systems with delay are obtained. Mathematic...

Iterative Solution of Singular Systems with Applications

Controllability and observability of linear time varying singular systems

Controllability and observability of analytically solvable linear time-varying singular systems are considered. Our analysis includes the possible impulsive zero-input response. Based on the definitions of controllability and observability naturally extended from the ones adopted in the time-invariant setting, sufficient and necessary conditions for these two properties are derived. Furthermore...