Robust Finite-Time Stabilization of Unified Chaotic Complex System with Certain and Uncertain Parameters

Shutang Liu (), Ping Liu (), Cuimei Jiang () and Changan Liu ()
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Shutang Liu: Shandong University, School of Control Science and Engineering
Ping Liu: Shandong Agricultural University
Cuimei Jiang: Qilu University of Technology (Shandong Academy of Sciences)
Changan Liu: Shandong University

Chapter 12 in Chaos in Complex Dynamical System: Theory and Application, 2026, pp 199-208 from Springer

Abstract: Abstract This chapter addresses the robust finite-time stabilization [193, 194] of a unified chaotic complex system, considering both certain and uncertain parameters. In practical engineering applications, it is often desirable to stabilize a system as quickly as possible, making the study of finite-time stabilization for chaotic systems particularly important. Achieving finite-time stability in controlled systems relies on finite-time control techniques [195], which have been shown to offer enhanced robustness. The chapter is structured as follows: Sect. 12.1 introduces the definition and relevant lemmas for finite-time stabilization of chaotic complex systems. Section 12.2 provides a description of the unified chaotic complex system. Finally, Sect. 12.3 presents the design of a finite-time stability controller for such systems with unknown parameters.

Date: 2026
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DOI: 10.1007/978-981-95-7762-0_12

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