Reachability of linear switched systems: differential geometric approach

DOI10.1016/j.sysconle.2005.06.001zbMath1129.93446OpenAlexW2158125649WikidataQ115340995 ScholiaQ115340995MaRDI QIDQ2504637

Mihaly Petreczky

Publication date: 25 September 2006

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2005.06.001

zbMATH Keywords

hybrid systemsreachable setswitched linear systems

Mathematics Subject Classification ID

Controllability (93B05) Sampled-data control/observation systems (93C57) Attainable sets, reachability (93B03)

Related Items (17)

A constructive approach to reachability realization of discrete-time switched linear systems ⋮ Design of switching sequences for controllability realization of switched linear systems ⋮ On the reachability of discrete-time switched linear systems ⋮ Estimation and synthesis of reachable set for switched linear systems ⋮ Reduced realization for switched linear systems with known mode sequence ⋮ Realization Theory for Discrete-Time Semi-algebraic Hybrid Systems ⋮ Partial-realization theory for linear switched systems -- a formal power series approach ⋮ Parameterization and identification of multivariable state-space systems: a canonical approach ⋮ A new perspective on criteria and algorithms for reachability of discrete-time switched linear systems ⋮ Geometric control theory and linear switched systems ⋮ A geometric approach for reachability and observability of linear switched impulsive systems ⋮ Generating series for bilinear hybrid systems ⋮ Span-reachability and observability of bilinear hybrid systems ⋮ Balanced truncation for linear switched systems ⋮ Realization theory for linear switched systems: formal power series approach ⋮ Realization theory for linear and bilinear switched systems: A formal power series approach ⋮ Realization theory for linear and bilinear switched systems: A formal power series approach

Cites Work

• Switching in systems and control
• Controllability and reachability criteria for switched linear systems
• An algebraic approach towards the controllability of controlled switching linear hybrid systems
• Existence and Uniqueness of Realizations of Nonlinear Systems
• Orbits of Families of Vector Fields and Integrability of Distributions
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