Rational series and their languages
Rational series and their languages
An algebraic approach to hybrid systems
Theoretical Computer Science - Special issue on hybrid systems
Introduction to mathematical systems theory: a behavioral approach
Introduction to mathematical systems theory: a behavioral approach
Automata, Languages, and Machines
Automata, Languages, and Machines
Semirings, Automata and Languages
Semirings, Automata and Languages
Brief paper: Active mode observability of switching linear systems
Automatica (Journal of IFAC)
Identifiability of discrete-time linear switched systems
Proceedings of the 13th ACM international conference on Hybrid systems: computation and control
Progress on reachability analysis of hybrid systems using predicate abstraction
HSCC'03 Proceedings of the 6th international conference on Hybrid systems: computation and control
Observability of linear hybrid systems
HSCC'03 Proceedings of the 6th international conference on Hybrid systems: computation and control
Brief paper: A continuous optimization framework for hybrid system identification
Automatica (Journal of IFAC)
Identification of switched linear systems via sparse optimization
Automatica (Journal of IFAC)
Partial-realization theory for linear switched systems -A formal power series approach
Automatica (Journal of IFAC)
Observability of switched linear systems in continuous time
HSCC'05 Proceedings of the 8th international conference on Hybrid Systems: computation and control
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The paper presents realization theory of discrete-time linear switched systems. We present necessary and sufficient conditions for an input-output map to admit a discrete-time linear switched system realization. In addition, we present a characterization of minimality of discrete-time linear switched systems in terms of reachability and observability. Further, we prove that minimal realizations are unique up to isomorphism. We also discuss algorithms for converting a linear switched system to a minimal one and for constructing a state-space representation from input-output data. The paper uses the theory of rational formal power series in non-commutative variables.