In: Impulsive control theory

By Tao Yang. 2001

699 citations recorded by the source corpus.

Subfields: Experimental and Cognitive Psychology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/f5a1a834349d64bd58ea7960c27d546aab930a36

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In Experimental and Cognitive Psychology

In Statistical and Nonlinear Physics

Citations in the corpus

Lyapunov Stability for Impulsive Systems via Event-Triggered Impulsive Control (2020, methodology): “As a discontinuous control method, impulsive control has been widely used in satellite orbit transfer [4], currency supply control in the financial market [11], chaos synchronization [15], and communication”
An impulsive observer that estimates the exact state of a linear continuous-time system in predetermined finite time (2007, background): “In (2), z = [z1 z2] with zi ∈ R is the observer state, x̂0 ∈ R an estimate of the initial condition of system (1), z(t+k ) = limh→0 z(tk +h), z(t − k ) = limh→0 z(tk−h), and, without loss of generality [12], it is assumed that z(tk ) = z(tk).”
Existence and Hyers‐Ulam stability of fractional nonlinear impulsive switched coupled evolution equations (2018, neutral): “From (17) and (18), we receive ||G(p, q)||PC ≤ (m + 1) [α1 (MΘ + a1) + α2 (MΨ + a2)] r.”
An Observer That Converges in Finite Time Due to Measurement-Based State Updates (2008, neutral): “Moreover, x̂(t+k ) = limh→0 x̂(tk + h) and, without loss of generality [Yang (2001)], it is assumed that x̂(tk) = x̂(t − k ) = limh→0 x̂(tk − h) and y(tk) = y(t−k ) = limh→0 y(tk − h) (h > 0).”
Network-based leader-following consensus of nonlinear multi-agent systems via distributed impulsive control (2017, methodology): “On the other hand, impulsive control is an effective method for systems that can not endure continuous control inputs or plants which are impulsive in nature such as mechanical systems with impacts and nanodevices with electron tunneling effects [29].”
Impulsive state feedback control of a predator-prey model (2007, background): “For example, Yang presents models of impulsive electronic devices, which are ideal models of nanoelectronic devices, and studies some examples of nanoelectronic circuits consisting of driven single-electron tunneling junctions [20].”
Optimal Partial Harvesting Schedule for Aquaculture Operations (2006, background): “Impulsive control is a control paradigm based on impulsive differential equations, which allows for jumps in the state variables (Yang 2001).”
A SURVEY OF CHAOTIC SECURE COMMUNICATION SYSTEMS (2004, methodology): “To model this kind of system, we use the theory of impulsive differential equations[5, 36, 37].”
On the new concept of solutions and existence results for impulsive fractional evolution equations (2011, background): “For a wide bibliography and exposition on this object see for instance the monographs of [1, 2, 3, 4] and the papers [5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19].”