21 citations · 21 across the 4 of their papers we have counts for
6 papers
Control of discrete-time nonlinear systems via finite-step control Lyapunov functions
Navid Noroozi, Roman Geiselhart, Lars Grüne +1
In this work, we establish different control design approaches for discrete-time systems, which build upon the notion of finite-step control Lyapunov functions (fs-CLFs). The desig…
Stability analysis of networked control systems with not necessarily UGES protocols
Seyed Hossein Mousavi, Navid Noroozi, Anton H. J. de Ruiter +1
This note studies (practical) asymptotic stability of nonlinear networked control systems whose protocols are not necessarily uniformly globally exponentially stable. In particular…
Non-conservative discrete-time ISS small-gain conditions for closed sets
Navid Noroozi, Roman Geiselhart, Lars Grüne +2
This paper presents a unification and a generalization of the small-gain theory subsuming a wide range of existing small-gain theorems. In particular, we introduce small-gain condi…
A characterization of integral input-to-state stability for hybrid systems
Navid Noroozi, Alireza Khayatian, Roman Geiselhart
This paper addresses characterizations of integral input-to-state stability (iISS) for hybrid systems. In particular, we give a Lyapunov characterization of iISS unifying and gener…
Relaxed ISS Small-Gain Theorems for Discrete-Time Systems
Roman Geiselhart, Fabian R. Wirth
In this paper ISS small-gain theorems for discrete-time systems are stated, which do not require input-to-state stability (ISS) of each subsystem. This approach weakens conservatis…
Numerical Construction of LISS Lyapunov Functions under a Small Gain Condition
Roman Geiselhart, Fabian R. Wirth
In the stability analysis of large-scale interconnected systems it is frequently desirable to be able to determine a decay point of the gain operator, i.e., a point whose image und…