Perspectives and results on the stability and stabilizability of hybrid systems

By R. Decarlo, Michael S. Branicky, S. Pettersson, B. Lennartson. Proceedings of the IEEE, 2000

1,729 citations recorded by the source corpus.

Subfields: Automotive Engineering, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/4e4352ee9abfe8c36d6406c9673404d2ac04c0a5

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Citations in the corpus

Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and Control (2006, background): “For subsequent results, see the tutorial papers [4], [ 5 ] and references cited therein.”
Stability and persistent disturbance attenuation properties for a class of networked control systems: switched system approach (2005, positive): “Recently, there has been increasing interest in the stability analysis and switching control design of switched systems (see, e.g., Liberzon and Morse (1999), Decarlo et al. (2000) and the references cited therein).”
Stability analysis for a class of switched linear systems (2012, background): “In [7], it was shown that switching between the two asymptotically stable subsystems can produce an unstable trajectory.”
Analysis and design of switched normal systems (2006, background): “In the last two decades, there has been increasing interest in stability analysis and controller design for switched systems; see the survey papers [9,2,18], the recent books [10,19] and the references cited therein.”
Robust predictive control of switched systems: Satisfying uncertain schedules subject to state and control constraints (2008, background): “The stability analysis of switched systems has been addressed within the multiple Lyapunov function (MLF) framework for linear [11] as well as nonlinear [3] systems, and issues such as dwell time [5] have been studied (see [4, 6] for a survey of results in this area).”
Hybrid systems: Generalized solutions and robust stability (2004, neutral): “See (Branicky, 1998), (Ye et al., 1998), (Michel and Hu, 1999), (DeCarlo et al., 2000), (Liberzon, 2003), and (Lygeros et al., 2003).”
Stability, ${l}_{2}$ -Gain and Asynchronous ${H}_{{\infty}}$ Control of Discrete-Time Switched Systems With Average Dwell Time (2009, methodology): “Some more general techniques in MLF theory have also been put forward allowing the latent energy function to moderately increase even during the active time of certain subsystems except at the switching instants [6], [9].”
Dynamical properties of hybrid automata (2003, background): “For a more thorough discussion the reader is referred to [19], [20], and [22].”
Common quadratic Lyapunov-like functions with associated switching regions for two unstable second-order LTI systems (2002, background): “In recent works in the qualitative study of switched systems, several basic problems have been addressed and studied in depth (see Liberzon and Morse 1999, DeCarlo et al. 2000 and references cited therein), among which two problems stand out.”
Robust Finite-Time Control of Switched Linear Systems and Application to a Class of Servomechanism Systems (2015, methodology): “On the MLF approach, we refer readers to [27] for more details.”
Dissipativity Theory for Switched Systems (2005, background): “Consequently, the study of stability for switched systems is more difficult than the study for continuous systems or discrete systems, and so becomes a challenging issue [ 5 ], [23], [28], [44].”
Stability and controllability of switched systems (2013, background): “Therefore, the stability study of switched systems might be roughly divided into two kinds of problems [25]:”
Stability and Stabilization of Continuous-Time Switched Linear Systems (2006, neutral): “Stability of continuous-time switched linear systems has been addressed by several authors [3], [5], [11], [12], [14], [16], [17], [18], [20] and [23].”