Switching in Systems and Control

By Daniel Liberzon. Systems & Control: Foundations & Applications, 2003

6,334 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/522c58315539980086783a6e5565cc765b35c49b

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In Control and Systems Engineering

1. Peng Shi
2. Lixian Zhang
3. Huijun Gao
4. James Lam
5. Qing-Long Han
6. W. M. Heemels
7. Ligang Wu
8. Shaocheng Tong

Citations in the corpus

• New Results on Stability of Slowly Switched Systems: A Multiple Discontinuous Lyapunov Function Approach (2017, background): “Definition 1: [12] For switched system (1), the equilibrium xe = 0 is said to be globally uniformly exponentially stable (GUES), if for a given switching signal σ(t), there exist positive number κ > 0, ε > 0, such that ∥x(t)∥ ≤ κe−ε(t−t0) ∥x(t0)∥, ∀t ≥ t0 with arbitrary initial conditions.”
• Asynchronous Filtering of Discrete-Time Switched Linear Systems With Average Dwell Time (2011, background): “Definition 2: [ 1 ]: The switched system (1)–(3) with is globally uniformly asymptotically stable (GUAS) if there exists a class function such that for all switching signals and all initial conditions , the solutions of (1)–(3) satisfy the inequality .”
• STABILIZATION OF SWITCHED SYSTEMS VIA OPTIMAL CONTROL (2005, methodology): “Solutions to this problem have been proposed based on common quadratic Lyapunov functions (CQLF) [15–17, 20, 24, 27] or on switched quadratic Lyapunov functions [8].”
• Predictive Control for Linear and Hybrid Systems (2017, background): “The reader is also referred to the book by Liberzon [191].”
• Stability analysis for stochastic hybrid systems: A survey (2014, background): “SHS constitute an important generalization of non-stochastic hybrid dynamical systems, for which significant breakthroughs in stability theory have been carved out over the last decade (Branicky, 1998; DeCarlo, Branicky, Pettersson, & Lennartson, 2000; Liberzon, 2003;Michel, Hou, & Liu, 2008), inclu”
• Discrete‐time control for switched positive systems with application to mitigating viral escape (2011, background): “They present interesting theoretical challenges and are important in many real-world problems [1].”
• Necessary and Sufficient Conditions for Analysis and Synthesis of Markov Jump Linear Systems With Incomplete Transition Descriptions (2010, background): “This leads to the so-called deterministic switched systems under arbitrary switchings (see [19], [ 20 ] for continuous-time and discrete-time case, respectively).”
• Stability Criteria for Switched and Hybrid Systems (2007, background): “The interested reader is referred to [88] and the references therein for a discussion of some of the approaches that have been employed in the study of this and the other problems concerned with constrained switching.”