Determining the viability for  hybrid control systems on a region  with piecewise smooth boundary

Yanli Han; Yan Gao

doi:10.3934/naco.2015.5.1

Article Contents

2015, Volume 5, Issue 1: 1-9. Doi: 10.3934/naco.2015.5.1

This issue Previous Article Preface Next Article Delay-range dependent $H_\infty$ control for uncertain 2D-delayed systems

Determining the viability for hybrid control systems on a region with piecewise smooth boundary

Yanli Han^1, and
Yan Gao^2,

1.
School of Management, University of Shanghai for Science and Technology, 516 Jungong Road, Shanghai, 200093
2.
Business School, University of Shanghai for Science and Technology, Shanghai, 200093

Received: December 2014

Revised: March 2015

Published: February 2015

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Abstract

This paper is devoted to determining the viability of hybrid control systems on a region which is expressed by inequalities of piecewise smooth functions. Firstly, the viability condition for the differential inclusion is discussed based on nonsmooth analysis. Secondly, the result is generalized to hybrid differential inclusion. Finally, the viability condition of differential inclusion on a region with the max-type function is given.

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Mathematics Subject Classification: Primary: 93C30; Secondary: 37C75.

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