Existence of piecewise linear Lyapunov functions in arbitrary dimensions

Peter Giesl; Sigurdur Hafstein

doi:10.3934/dcds.2012.32.3539

Existence of piecewise linear Lyapunov functions in arbitrary dimensions

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2012.32.3539 ◽

2012 ◽

Vol 32 (10) ◽

pp. 3539-3565 ◽

Cited By ~ 14

Author(s):

Peter Giesl ◽

Sigurdur Hafstein

Keyword(s):

Lyapunov Functions ◽

Piecewise Linear ◽

Arbitrary Dimensions ◽

Linear Lyapunov Functions

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Stability analysis of discontinuous nonlinear systems via piecewise linear Lyapunov functions

Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148) ◽

10.1109/acc.2001.945751 ◽

2001 ◽

Cited By ~ 3

Author(s):

Y. Ohta ◽

T. Wada ◽

D.D. Siljak

Keyword(s):

Stability Analysis ◽

Nonlinear Systems ◽

Lyapunov Functions ◽

Piecewise Linear ◽

Linear Lyapunov Functions

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Performance of Multiclass Markovian Queueing Networks Via Piecewise Linear Lyapunov Functions

10.1214/aoap/1015345407 ◽

2001 ◽

Vol 11 (4) ◽

pp. 1384-1428 ◽

Cited By ~ 34

Author(s):

Dimitris Bertsimas ◽

David Gamarnik ◽

John N. Tsitsiklis

Keyword(s):

Queueing Networks ◽

Lyapunov Functions ◽

Piecewise Linear ◽

Linear Lyapunov Functions ◽

Markovian Queueing Networks

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Computing Resilience Of Interconnected Systems By Piecewise Linear Lyapunov Functions

ECMS 2020 Proceedings edited by Mike Steglich, Christian Mueller, Gaby Neumann, Mathias Walther ◽

10.7148/2020-0345 ◽

2020 ◽

Author(s):

Alberto Tacchella ◽

Armando Tacchella

Keyword(s):

Lyapunov Functions ◽

Piecewise Linear ◽

Interconnected Systems ◽

Linear Lyapunov Functions

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Robust Stabilization of Control Systems Using Piecewise Linear Lyapunov Functions and Evolutionary Algorithm

2005 IEEE International Symposium on Circuits and Systems ◽

10.1109/iscas.2005.1465306 ◽

2005 ◽

Cited By ~ 1

Author(s):

K. Tagawa ◽

Y. Ohta

Keyword(s):

Evolutionary Algorithm ◽

Control Systems ◽

Lyapunov Functions ◽

Piecewise Linear ◽

Robust Stabilization ◽

Linear Lyapunov Functions

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Stability analysis of nonlinear systems via piecewise linear Lyapunov functions

2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353) ◽

10.1109/iscas.2000.856295 ◽

2002 ◽

Cited By ~ 4

Author(s):

Y. Ohta ◽

K. Yamamoto

Keyword(s):

Stability Analysis ◽

Nonlinear Systems ◽

Lyapunov Functions ◽

Piecewise Linear ◽

Linear Lyapunov Functions

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Characterization of Stabilizing Switching Sequences in Switched Linear Systems Using Piecewise Linear Lyapunov Functions

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

10.1007/3-540-45351-2_29 ◽

2001 ◽

pp. 347-360 ◽

Cited By ~ 2

Author(s):

Xenofon D. Koutsoukos ◽

Panos J. Antsaklis

Keyword(s):

Linear Systems ◽

Lyapunov Functions ◽

Piecewise Linear ◽

Switched Linear Systems ◽

Linear Lyapunov Functions

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A parametrization of piecewise linear Lyapunov functions via linear programming

International Journal of Control ◽

10.1080/002071799220876 ◽

1999 ◽

Vol 72 (7-8) ◽

pp. 702-715 ◽

Cited By ~ 34

Author(s):

Pedro Julian ◽

Jose Guivant ◽

Alfredo Desages

Keyword(s):

Linear Programming ◽

Lyapunov Functions ◽

Piecewise Linear ◽

Linear Lyapunov Functions

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Stability analysis by using piecewise linear Lyapunov functions

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)56353-3 ◽

1999 ◽

Vol 32 (2) ◽

pp. 2083-2088

Author(s):

Yuzo Ohta ◽

Michio Onishi

Keyword(s):

Stability Analysis ◽

Lyapunov Functions ◽

Piecewise Linear ◽

Linear Lyapunov Functions

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Constrained switching stabilization of linear uncertain switched systems using piecewise linear Lyapunov functions

Transactions of the Institute of Measurement and Control ◽

10.1177/0142331208097842 ◽

2010 ◽

Vol 32 (5) ◽

pp. 529-566 ◽

Cited By ~ 7

Author(s):

Christos A. Yfoulis

Keyword(s):

Switched Systems ◽

Lyapunov Functions ◽

Piecewise Linear ◽

Linear Lyapunov Functions

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On the construction of piecewise linear Lyapunov functions

Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228) ◽

10.1109/cdc.2001.980577 ◽

2003 ◽

Cited By ~ 6

Author(s):

Y. Ohta

Keyword(s):

Lyapunov Functions ◽

Piecewise Linear ◽

Linear Lyapunov Functions

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