Convergent piecewise affine systems : analysis and design Part II: discontinuous case

A.V. Pavlov; A.Y. Pogromski; N. Wouw, van de; H. Nijmeijer; J.E. Rooda

doi:10.1109/CDC.2005.1583020

Convergent piecewise affine systems : analysis and design Part II: discontinuous case

A.V. Pavlov, A.Y. Pogromski, N. Wouw, van de, H. Nijmeijer, J.E. Rooda

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

14 Citations (Scopus)

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Abstract

In this paper convergence properties of piecewise affine (PWA) systems with discontinuous right-hand sides are studied. It is shown that for discontinuous PWA systems existence of a common quadratic Lyapunov function is not sufficient for convergence. For discontinuous bimodal PWA systems necessary and sufficient conditions for quadratic convergence, i.e. convergence with a quadratic Lyapunov function, are derived.

Original language	English
Title of host publication	Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference(CDC-ECC), 12-15- december 2005, Seville, Spain
Pages	on-CDROM
DOIs	https://doi.org/10.1109/CDC.2005.1583020
Publication status	Published - 2005

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10.1109/CDC.2005.1583020

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Pavlov, A. V., Pogromski, A. Y., Wouw, van de, N., Nijmeijer, H., & Rooda, J. E. (2005). Convergent piecewise affine systems : analysis and design Part II: discontinuous case. In Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference(CDC-ECC), 12-15- december 2005, Seville, Spain (pp. on-CDROM) https://doi.org/10.1109/CDC.2005.1583020

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Convergent piecewise affine systems : analysis and design Part II: discontinuous case. / Pavlov, A.V.; Pogromski, A.Y.; Wouw, van de, N. et al.
Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference(CDC-ECC), 12-15- december 2005, Seville, Spain. 2005. p. on-CDROM.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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T1 - Convergent piecewise affine systems : analysis and design Part II: discontinuous case

AU - Pavlov, A.V.

AU - Pogromski, A.Y.

AU - Wouw, van de, N.

AU - Nijmeijer, H.

AU - Rooda, J.E.

PY - 2005

Y1 - 2005

N2 - In this paper convergence properties of piecewise affine (PWA) systems with discontinuous right-hand sides are studied. It is shown that for discontinuous PWA systems existence of a common quadratic Lyapunov function is not sufficient for convergence. For discontinuous bimodal PWA systems necessary and sufficient conditions for quadratic convergence, i.e. convergence with a quadratic Lyapunov function, are derived.

AB - In this paper convergence properties of piecewise affine (PWA) systems with discontinuous right-hand sides are studied. It is shown that for discontinuous PWA systems existence of a common quadratic Lyapunov function is not sufficient for convergence. For discontinuous bimodal PWA systems necessary and sufficient conditions for quadratic convergence, i.e. convergence with a quadratic Lyapunov function, are derived.

U2 - 10.1109/CDC.2005.1583020

DO - 10.1109/CDC.2005.1583020

M3 - Conference contribution

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BT - Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference(CDC-ECC), 12-15- december 2005, Seville, Spain

ER -

Convergent piecewise affine systems : analysis and design Part II: discontinuous case

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