Controllability of nonlinear delay systems with delay depending on state variable
Krishnan Balachandran, D. Somasundaram (1986)
Kybernetika
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Krishnan Balachandran, D. Somasundaram (1986)
Kybernetika
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Krishnan Balachandran (1986)
Kybernetika
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Jerry Uche Onwuatu (1993)
Kybernetika
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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...
Dusser, Xavier, Rabah, Rabah (2001)
Mathematical Problems in Engineering
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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....