Sliding Modes and Lyapunov Functions for Differential Inclusions by Linear Programming

Informatics in Control, Automation and Robotics - Lecture Notes in Electrical Engineering ◽

10.1007/978-3-030-92442-3_29 ◽

2022 ◽

pp. 584-606

Author(s):

Sigurdur Hafstein

Keyword(s):

Linear Programming ◽

Lyapunov Functions ◽

Differential Inclusions ◽

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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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Construction of Lyapunov Functions for a Class of Higher Order Sliding Modes algorithms

2012 IEEE 51st IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2012.6426028 ◽

2012 ◽

Author(s):

Tonametl Sanchez ◽

Jaime A. Moreno

Keyword(s):

Lyapunov Functions ◽

Higher Order ◽

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Homogeneous feedback design of differential inclusions based on control Lyapunov functions

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2013.03.015 ◽

2013 ◽

Vol 18 (10) ◽

pp. 2790-2800 ◽

Author(s):

Junfeng Zhang ◽

Zhengzhi Han ◽

Jun Huang

Keyword(s):

Lyapunov Functions ◽

Differential Inclusions ◽

Feedback Design

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Computing Lyapunov functions for strongly asymptotically stable differential inclusions

IFAC Proceedings Volumes ◽

10.3182/20100901-3-it-2016.00132 ◽

2010 ◽

Vol 43 (14) ◽

pp. 1098-1103 ◽

Author(s):

R. Baier ◽

L. Grüne ◽

S.F. Hafstein

Keyword(s):

Lyapunov Functions ◽

Differential Inclusions ◽

Asymptotically Stable

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Lyapunov functions for homogeneous differential inclusions

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)31312-5 ◽

2004 ◽

Vol 37 (13) ◽

pp. 733-738 ◽

Author(s):

Hisakazu Nakamura ◽

Yuh Yamashita ◽

Hirokazu Nishitani

Keyword(s):

Lyapunov Functions ◽

Differential Inclusions

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Lyapunov Functions for Homogeneous Differential Inclusions

Transactions of the Society of Instrument and Control Engineers ◽

10.9746/sicetr1965.39.365 ◽

2003 ◽

Vol 39 (4) ◽

pp. 365-374

Author(s):

Hisakazu NAKAMURA ◽

Yuh YAMASHITA ◽

Hirokazu NISHITANI

Keyword(s):

Lyapunov Functions ◽

Differential Inclusions

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Computation of local ISS Lyapunov functions with low gains via linear programming

Discrete and Continuous Dynamical Systems - Series B ◽

10.3934/dcdsb.2015.20.2477 ◽

2015 ◽

Vol 20 (8) ◽

pp. 2477-2495 ◽

Author(s):

Huijuan Li ◽

Robert Baier ◽

Lars Grüne ◽

Sigurdur F. Hafstein ◽

Fabian R. Wirth

Keyword(s):

Linear Programming ◽

Lyapunov Functions

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Construction of Lyapunov functions for high-order sliding modes

Recent Trends in Sliding Mode Control ◽

10.1049/pbce102e_ch1.4 ◽

2016 ◽

pp. 77-99

Author(s):

Sánchez ◽

Moreno

Keyword(s):

Lyapunov Functions ◽

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Smooth Morse–Lyapunov Functions of Strong Attractors for Differential Inclusions

SIAM Journal on Control and Optimization ◽

10.1137/10081280x ◽

2012 ◽

Vol 50 (1) ◽

pp. 368-387 ◽

Author(s):

Desheng Li ◽

Yanling Wang

Keyword(s):

Lyapunov Functions ◽

Differential Inclusions

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Computation of Lyapunov functions for nonlinear discrete time systems by linear programming

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2013.867341 ◽

2014 ◽

Vol 20 (4) ◽

pp. 610-640 ◽

Author(s):

Peter Giesl ◽

Sigurdur Hafstein

Keyword(s):

Linear Programming ◽

Discrete Time ◽

Lyapunov Functions ◽

Discrete Time Systems ◽

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