Unified canonical forms for linear time-varying dynamical systems under D-similarity transformations. II

Zhu, J.; Johnson, C.D.

doi:10.1109/ssst.1989.72434

Cited by 6 publications

(3 citation statements)

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“…where u(t−h+y) = w(t, y). Using the inverse transformation, from (43), and using (45)-(46) at x = h, the boundary control can equivalently be written as follows:…”

Section: Prescribed-time Predictor Controlmentioning

confidence: 99%

See 1 more Smart Citation

Predictor-Feedback Prescribed-Time Stabilization of LTI Systems With Input Delay

Espitia

Perruquetti

2022

IEEE Trans. Automat. Contr.

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“…where u(t−h+y) = w(t, y). Using the inverse transformation, from (43), and using (45)-(46) at x = h, the boundary control can equivalently be written as follows:…”

Section: Prescribed-time Predictor Controlmentioning

confidence: 99%

“…Proof: It follows by virtue of the triangle, Young's and Cauchy-Schwarz inequalities applied to (30) and (43).…”

Section: Stability Analysismentioning

confidence: 99%

Predictor-Feedback Prescribed-Time Stabilization of LTI Systems With Input Delay

Espitia

Perruquetti

2022

IEEE Trans. Automat. Contr.

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“…In [48], such a restrictive condition has been avoided. The methodology is based on the D-similarities approach developed in [50,51,52], where any time-varying matrix can be transformed under a Metzler form.…”

Section: {︂mentioning

confidence: 99%

Some recent results on the design and implementation of interval observers for uncertain systems

Raïssi

Efimov²

2018

At - Automatisierungstechnik

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Based on the theory of positive systems, the goal of interval observers is to compute sets of admissible values of the state vector at each instant of time for systems subject to bounded uncertainties (noises, disturbances and parameters). The size of the estimated sets, which should be minimised, has to be proportional to the model uncertainties. An interval estimation can be seen as a conventional point estimation (the centre of the interval) with an estimation error given by the interval radius. The reliable uncertainties propagation performed in this context can be useful in several fields such as robust control, diagnosis and fault-tolerant control. This paper presents some recent results on interval observers for several dynamical systems classes such as continuous-time and switched systems.

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Spatial decomposition of functionally commutative matrices

Zhu

Morales

1990

Linear Algebra and its Applications

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Unified canonical forms for linear time-varying dynamical systems under D-similarity transformations. II

Cited by 6 publications

References 10 publications

Predictor-Feedback Prescribed-Time Stabilization of LTI Systems With Input Delay

Predictor-Feedback Prescribed-Time Stabilization of LTI Systems With Input Delay

Some recent results on the design and implementation of interval observers for uncertain systems

Spatial decomposition of functionally commutative matrices

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