The complementary-slackness class of hybrid systems

A.J. van der Schaft; J.M. Schumacher

doi:10.1007/BF02551330

The complementary-slackness class of hybrid systems

A.J. van der Schaft, J.M. Schumacher

University of Twente

Research output: Contribution to journal › Article › Academic

99 Citations (Scopus)

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Abstract

In this paper we understand a “hybrid system” to be one that combines features of continuous dynamical systems with characteristics of finite automata. We study a special class of such systems which we call the complementary-slackness class. We study existence and uniqueness of solutions in the special'cases oflinear andHamiltonian complementary-slackness systems. For the latter class we also prove an energy inequality.

Original language	English
Pages (from-to)	266-301
Number of pages	36
Journal	Mathematics of control, signals and systems
Volume	9
Issue number	3
DOIs	https://doi.org/10.1007/BF02551330
Publication status	Published - 1996

Keywords

Hybrid systems
Complementary slackness
Well-posedness
Inequality constraints

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10.1007/BF02551330

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1 Oral presentation

The complementary-slackness class of hybrid systems
van der Schaft, A. (Speaker)
25 Jan 1996
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99 Citations
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The complementary-slackness class of hybrid systems
van der Schaft, A. J. & Schumacher, J. M., 1995, University of Twente. 31 p. (Memorandum; no. 1290)
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AB - In this paper we understand a “hybrid system” to be one that combines features of continuous dynamical systems with characteristics of finite automata. We study a special class of such systems which we call the complementary-slackness class. We study existence and uniqueness of solutions in the special'cases oflinear andHamiltonian complementary-slackness systems. For the latter class we also prove an energy inequality.

KW - Hybrid systems

KW - Complementary slackness

KW - Well-posedness

KW - Inequality constraints

U2 - 10.1007/BF02551330

DO - 10.1007/BF02551330

M3 - Article

SN - 0932-4194

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SP - 266

EP - 301

JO - Mathematics of control, signals and systems

JF - Mathematics of control, signals and systems

IS - 3

ER -

The complementary-slackness class of hybrid systems

Abstract

Keywords

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