On absolute stability analysis by polyhedral Lyapunov functions

Andrzej Polański

doi:10.1016/S0005-1098(99)00180-6

On absolute stability analysis by polyhedral Lyapunov functions

Andrzej Polański

Katedra Grafiki, Wizji Komputerowej i Systemów Cyfrowych (RAU/RAU6)

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

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Abstrakt

This paper addresses the problem of computing a polyhedral Lyapunov function (PLF) for a linear differential inclusion (LDI). A numerically efficient algorithm is presented to compute a PLF for an LDI. It is also pointed out that for the case of a polyhedron defined by vertices (rather than by faces) one can state algebraic stability conditions analogous to those given by Molchanov and Pyatnitskiy (1986).

Język oryginału	angielski
Strony (od–do)	573-578
Liczba stron	6
Czasopismo	Automatica
Tom	36
Numer wydania	4
Identyfikatory DOI	https://doi.org/10.1016/S0005-1098(99)00180-6
Status publikacji	Opublikowano - kwi 2000

Obszary tematyczne ASJC Scopus

Inżynieria sterowania i systemów
Inżynieria elektryczna i elektroniczna

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10.1016/S0005-1098(99)00180-6

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Cytowanie

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title = "On absolute stability analysis by polyhedral Lyapunov functions",

abstract = "This paper addresses the problem of computing a polyhedral Lyapunov function (PLF) for a linear differential inclusion (LDI). A numerically efficient algorithm is presented to compute a PLF for an LDI. It is also pointed out that for the case of a polyhedron defined by vertices (rather than by faces) one can state algebraic stability conditions analogous to those given by Molchanov and Pyatnitskiy (1986).",

author = "Andrzej Pola{\'n}ski",

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AB - This paper addresses the problem of computing a polyhedral Lyapunov function (PLF) for a linear differential inclusion (LDI). A numerically efficient algorithm is presented to compute a PLF for an LDI. It is also pointed out that for the case of a polyhedron defined by vertices (rather than by faces) one can state algebraic stability conditions analogous to those given by Molchanov and Pyatnitskiy (1986).

UR - https://www.scopus.com/pages/publications/0343517454

U2 - 10.1016/S0005-1098(99)00180-6

DO - 10.1016/S0005-1098(99)00180-6

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SP - 573

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JO - Automatica

JF - Automatica

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On absolute stability analysis by polyhedral Lyapunov functions

Abstrakt

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