Displaying similar documents to “Control of oscillating systems with a single delay.”

Controllability of linear impulsive matrix Lyapunov differential systems with delays in the control function

Vijayakumar S. Muni, Raju K. George (2018)

Kybernetika

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In this paper, we establish the controllability conditions for a finite-dimensional dynamical control system modelled by a linear impulsive matrix Lyapunov ordinary differential equations having multiple constant time-delays in control for certain classes of admissible control functions. We characterize the controllability property of the system in terms of matrix rank conditions and are easy to verify. The obtained results are applicable for both autonomous (time-invariant) and non-autonomous...

On the constrained controllability of dynamical systems with multiple delays in the state

Beata Sikora (2003)

International Journal of Applied Mathematics and Computer Science

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Linear stationary dynamical systems with multiple constant delays in the state are studied. Their relative and approximate controllability properties with constrained controls are discussed. Definitions of various types of controllability with constrained controls for systems with delays in the state are introduced. Some theorems concerning the relative and the approximate relative controllability with constrained controls for dynamical systems with delays in the state are established....

Controllability, observability and optimal control of continuous-time 2-D systems

Gerhard Jank (2002)

International Journal of Applied Mathematics and Computer Science

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We consider linear 2-D systems of Fornasini-Marchesini type in the continuous-time case with non-constant coefficients. Using an explicit representation of the solutions by utilizing the Riemann-kernel of the equation under consideration, we obtain controllability and observability criteria in the case of the inhomogeneous equation, where control is obtained by choosing the inhomogeneity appropriately, but also for the homogeneous equation, where control is obtained by steering with...