Topological obstructions to simultaneous stabilization

Dayawansa, W.P.; Qi, Ben

doi:10.1109/cdc.1999.830091

Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)

DOI: 10.1109/cdc.1999.830091

|View full text |Cite

Topological obstructions to simultaneous stabilization

W.P. Dayawansa

Ben Qi²

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Conley index condition for asymptotic stability

Moulay

Hui

2011

Nonlinear Analysis: Theory, Methods & Applications

View full text Add to dashboard Cite

a b s t r a c tIn this paper, we use Conley index theory to develop necessary conditions for stability of equilibrium and periodic solutions of nonlinear continuous-time systems. The Conley index is a topological generalization of the Morse theory which has been developed to analyze dynamical systems using topological methods. In particular, the Conley index of an invariant set with respect to a dynamical system is defined as the relative homology of an index pair for the invariant set. The Conley index can then be used to examine the structure of the system invariant set as well as the system dynamics within the invariant set, including system stability properties. Efficient numerical algorithms using homology theory have been developed in the literature to compute the Conley index and can be used to deduce the stability properties of nonlinear dynamical systems.

show abstract

Conley index condition for asymptotic stability

Moulay

Hui

2011

Nonlinear Analysis: Theory, Methods & Applications

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

hi@scite.ai

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Topological obstructions to simultaneous stabilization

Cited by 1 publication

References 8 publications

Conley index condition for asymptotic stability

Conley index condition for asymptotic stability

Contact Info

Product

Resources

About