Characterization of strong structural controllability of uncertain linear time-varying discrete-time systems

Hartung, Christoph; Reißig, Gunther; Svaricek, Ferdinand

doi:10.1109/cdc.2012.6426326

Cited by 14 publications

(25 citation statements)

References 13 publications

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“…In Figure 1, an algorithm for the identification of strong structural controllability of linear time-varying systems (3) is given. This algorithm is based on the algorithms in [10], but because of the properties of the more restricted classes of systems, some simplifications in the algorithms can be made, so that the algorithm here is faster than a direct application of the algorithms in [10] to (I n + A), B).…”

Section: Main Result: Strong Structural Controllability Of Time-vmentioning

confidence: 98%

“…Analogous to [10], the algorithm in Fig. 1 yields two permutations σ 1 and σ 2 that permute the structural matrix Input: A ∈ R n×n /∼, B ∈ R n×r /∼ 1: N := {1, 2, .…”

Section: Main Result: Strong Structural Controllability Of Time-vmentioning

confidence: 99%

“…Because of [10], it could be expected that strong structural controllability of linear, time-varying control systems (3) is also given, when the linear time-invariant control systems (1) with the same structure is strongly structurally controllable. Therefore, we first analyze a control system (3) with the following matrices…”

Section: Introductionmentioning

confidence: 98%

“…Recently, in [10] was proven that linear time-varying, discrete-time control systems are strongly structurally controllable if linear, time-invariant control systems (1) with the same structure are so.…”

Section: Introductionmentioning

confidence: 99%

“…The most popular approach is to assume that all non-zero entries in A and B are parameters that must not be zero and that all zeros in A and B are zero [2]- [10].…”

Section: Introductionmentioning

confidence: 99%

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Sufficient conditions for strong structural controllability of uncertain linear time-varying systems

Hartung

Reißig

Svaricek

2013

2013 American Control Conference

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In this paper, we extend the notion of strong structural controllability of linear time-invariant systems, a property that requires the controllability of each system in a specific class given by the zero-nonzero pattern of the system matrices, to the linear time-varying caseẋ(t) = A(t) · x(t) + B(t) · u(t), where A and B are matrices of analytic functions. It is demonstrated that the requirements for strong structural controllability of linear time-invariant systems are not sufficient for strong structural controllability of linear time-varying systems. Moreover, in the main result of this paper, sufficient conditions for strong structural controllability of linear timevarying systems are given and an algorithm for verifying this property is provided. Since time-invariant systems are included in the class of time-varying system, these conditions are also new sufficient conditions for strong structural controllability of time-invariant systems. Finally, the results are illustrated by means of an example.

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Section: Main Result: Strong Structural Controllability Of Time-vmentioning

confidence: 98%

“…Analogous to [10], the algorithm in Fig. 1 yields two permutations σ 1 and σ 2 that permute the structural matrix Input: A ∈ R n×n /∼, B ∈ R n×r /∼ 1: N := {1, 2, .…”

Section: Main Result: Strong Structural Controllability Of Time-vmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

“…The most popular approach is to assume that all non-zero entries in A and B are parameters that must not be zero and that all zeros in A and B are zero [2]- [10].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations