Positive invariance and asymptotic stability of solutions to certain Riccati equations

Hendrik J. Kuiper

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Matrix and operator Riccati equations of the form X′ = - AX - XD + B + XCX with A and D positive definite arise in the study of transport processes. In this paper conditions are found that imply the unit ball ∥X∥ ≤ 1 is positively invariant. Also obtained are results on uniqueness, stability and asymptotic stability of steady states.

Original languageEnglish (US)
Pages (from-to)331-344
Number of pages14
JournalDynamics and Stability of Systems
Volume9
Issue number4
StatePublished - 1994

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Riccati equations
Transport Processes
Stability of Solutions
Riccati Equation
Operator Equation
Asymptotic stability
Invariance
Unit ball
Positive definite
Asymptotic Stability
Mathematical operators
Uniqueness
Imply
Invariant
Form

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Positive invariance and asymptotic stability of solutions to certain Riccati equations. / Kuiper, Hendrik J.

In: Dynamics and Stability of Systems, Vol. 9, No. 4, 1994, p. 331-344.

Research output: Contribution to journalArticle

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