Non-conservative matrix inequality conditions for stability/stabilizability of linear differential inclusions

Tingshu Hu; Franco Blanchini

doi:10.1016/j.automatica.2009.10.022

Non-conservative matrix inequality conditions for stability/stabilizability of linear differential inclusions

Automatica ◽

10.1016/j.automatica.2009.10.022 ◽

2010 ◽

Vol 46 (1) ◽

pp. 190-196 ◽

Cited By ~ 50

Author(s):

Tingshu Hu ◽

Franco Blanchini

Keyword(s):

Differential Inclusions ◽

Matrix Inequality ◽

Linear Differential Inclusions ◽

Linear Differential ◽

Conservative Matrix

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Nonlinear control design for linear differential inclusions via convex hull quadratic Lyapunov functions

2006 American Control Conference ◽

10.1109/acc.2006.1657313 ◽

2006 ◽

Author(s):

Tingshu Hir

Keyword(s):

Convex Hull ◽

Nonlinear Control ◽

Lyapunov Functions ◽

Differential Inclusions ◽

Control Design ◽

Linear Differential Inclusions ◽

Quadratic Lyapunov Functions ◽

Linear Differential

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Singular Perturbation in Linear Differential Inclusions — Critical Case

International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique - Parametric Optimization and Approximation ◽

10.1007/978-3-0348-6253-0_8 ◽

1984 ◽

pp. 108-125 ◽

Cited By ~ 1

Author(s):

A. L. Dontchev ◽

V. M. Veliov

Keyword(s):

Singular Perturbation ◽

Differential Inclusions ◽

Critical Case ◽

Linear Differential Inclusions ◽

Linear Differential

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Evaluation of Costate Variables and Performance Index to the Feedback Path for a Time Varying System by Norm Linear Bounded Linear Differential Inclusions Method

Learning and Analytics in Intelligent Systems - Intelligent Techniques and Applications in Science and Technology ◽

10.1007/978-3-030-42363-6_97 ◽

2020 ◽

pp. 845-852

Author(s):

Nirmalya Chandra ◽

Achintya Das

Keyword(s):

Performance Index ◽

Differential Inclusions ◽

Time Varying ◽

Bounded Linear ◽

Feedback Path ◽

Linear Differential Inclusions ◽

Linear Differential ◽

And Performance

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Worse-case performance analysis for linear differential inclusions with multiple impulses

2016 12th IEEE International Conference on Control and Automation (ICCA) ◽

10.1109/icca.2016.7505385 ◽

2016 ◽

Author(s):

Zhendong Sun

Keyword(s):

Performance Analysis ◽

Differential Inclusions ◽

Linear Differential Inclusions ◽

Linear Differential

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Regional consensus of linear differential inclusions subject to input saturation

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.4899 ◽

2020 ◽

Vol 30 (6) ◽

pp. 2461-2474

Author(s):

Qilin Song ◽

Yuanlong Li ◽

Zongli Lin

Keyword(s):

Differential Inclusions ◽

Input Saturation ◽

Linear Differential Inclusions ◽

Linear Differential

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Verification of Hybrid Systems with Linear Differential Inclusions Using Ellipsoidal Approximations

Hybrid Systems: Computation and Control - Lecture Notes in Computer Science ◽

10.1007/3-540-46430-1_10 ◽

2000 ◽

pp. 73-88 ◽

Cited By ~ 66

Author(s):

Oleg Botchkarev ◽

Stavros Tripakis

Keyword(s):

Hybrid Systems ◽

Differential Inclusions ◽

Linear Differential Inclusions ◽

Ellipsoidal Approximations ◽

Verification Of Hybrid Systems ◽

Linear Differential

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Systems of linear differential equations with $ \pi$-derivative and linear differential inclusions

Sbornik Mathematics ◽

10.1070/sm2005v196n11abeh003726 ◽

2005 ◽

Vol 196 (11) ◽

pp. 1677-1691 ◽

Cited By ~ 12

Author(s):

N V Plotnikova

Keyword(s):

Differential Equations ◽

Differential Inclusions ◽

Linear Differential Equations ◽

Linear Differential Inclusions ◽

Linear Differential

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Nonlinear control design for linear differential inclusions via convex hull of quadratics

Automatica ◽

10.1016/j.automatica.2006.10.015 ◽

2007 ◽

Vol 43 (4) ◽

pp. 685-692 ◽

Cited By ~ 77

Author(s):

Tingshu Hu

Keyword(s):

Convex Hull ◽

Nonlinear Control ◽

Differential Inclusions ◽

Control Design ◽

Linear Differential Inclusions ◽

Linear Differential

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Chemical networks with inflows and outflows: A positive linear differential inclusions approach

Biotechnology Progress ◽

10.1002/btpr.162 ◽

2009 ◽

Vol 25 (3) ◽

pp. 632-642 ◽

Cited By ~ 24

Author(s):

David Angeli ◽

Patrick De Leenheer ◽

Eduardo D. Sontag

Keyword(s):

Differential Inclusions ◽

Linear Differential Inclusions ◽

Linear Differential

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Properties of Composite Laplacian Quadratics and Their Applications in Consensus of Linear Differential Inclusions

IEEE Transactions on Automatic Control ◽

10.1109/tac.2015.2491739 ◽

2016 ◽

Vol 61 (8) ◽

pp. 2269-2275 ◽

Cited By ~ 9

Author(s):

Fei Chen ◽

Linying Xiang ◽

Wei Ren

Keyword(s):

Differential Inclusions ◽

Linear Differential Inclusions ◽

Linear Differential

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