Contributions to Output Controllability for Linear Time Varying Systems

Contributions to time-varying Linear Control Systems

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...

Strong Structural Controllability of Linear Time-Varying Systems

In this note we consider continuous-time systems ẋ(t) = A(t)x(t) + B(t)u(t) as well as discrete-time systems x(t + 1) = A(t)x(t) + B(t)u(t) whose coefficient matrices A and B are not exactly known. More precisely, all that is known about the systems is their nonzero pattern, i.e., the locations of the nonzero entries in the coefficient matrices. We characterize the patterns that guarantee contr...

On the positive output controllability of linear time invariant systems

This paper considers the output controllability of autonomous linear control systems that are subject to non-negative input constraints. Based on the evaluation of the geometric properties of the system, necessary and sufficient conditions are proposed for the positive output controllability of continuous linear time invariant systems. To aid in the practical evaluation of positive output contr...

On the Approximation of Pseudo Linear Systems by Linear Time Varying Systems (RESEARCH NOTE)

This paper presents a modified method for approximating nonlinear systems by a sequence of linear time varying systems. The convergence proof is outlined and the potential of this methodology is discussed. Simulation results are used to show the effectiveness of the proposed method.