Exponential stability and hybrid \(L_2^h\)-gain analysis of hybrid systems via max functions
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Publication:2085151
DOI10.1016/j.nahs.2022.101245zbMath1500.93105OpenAlexW4285040355WikidataQ113868505 ScholiaQ113868505MaRDI QIDQ2085151
Ning Xu, Mengnan Hao, Peng Li, Bin Liu, Xudong Zhao
Publication date: 14 October 2022
Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nahs.2022.101245
Lyapunov and storage functions (93D30) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Exponential stability (93D23)
Cites Work
- Unnamed Item
- Unnamed Item
- Analysis and synthesis of linear hybrid systems with state-triggered jumps
- Stability analysis for stochastic hybrid systems: a survey
- Stability, stabilization and \(L_2\)-gain analysis of periodic piecewise linear systems
- Non-conservative matrix inequality conditions for stability/stabilizability of linear differential inclusions
- Characterizations of input-to-state stability for hybrid systems
- Piecewise Lyapunov functions for robust stability of linear time-varying systems
- Input-to-state stability of impulsive systems and their networks
- Application of commutator calculus to the study of linear impulsive systems
- Asymptotic properties of Zeno solutions
- Discontinuous piecewise quadratic Lyapunov functions for planar piecewise affine systems
- Uniform stability of nonlinear time-varying impulsive systems with eventually uniformly bounded impulse frequency
- Stability conditions for impulsive dynamical systems
- Delay-dependent stability and hybrid \(L_2 \times l_2\)-gain analysis of linear impulsive time-delay systems: a continuous timer-dependent Lyapunov-like functional approach
- Max-min Lyapunov functions for switched systems and related differential inclusions
- Synchronization of uncertain hybrid switching and impulsive complex networks
- On stability, \(L_2\)-gain and \(H_\infty\) control for switched systems
- Finite-gain \(\mathcal{L}_p\) stability for hybrid dynamical systems
- Robust Input-to-State Stability for Hybrid Systems
- <inline-formula> <tex-math notation="LaTeX">$\mathcal{L}_{2}$</tex-math> </inline-formula>-Gain Analysis for a Class of Hybrid Systems With Applications to Reset and Event-Triggered Control: A Lifting Approach
- An Integral-Type Multiple Lyapunov Functions Approach for Switched Nonlinear Systems
- Cone-Copositive Piecewise Quadratic Lyapunov Functions for Conewise Linear Systems
- Pointwise Asymptotic Stability in a Hybrid System and Well-Posed Behavior Beyond Zeno
- Robust Stability Analysis of Nonlinear Hybrid Systems
- Adaptive fuzzy hierarchical sliding mode control of uncertain under-actuated switched nonlinear systems with actuator faults
- Conjugate Convex Lyapunov Functions for Dual Linear Differential Inclusions
- <formula formulatype="inline"><tex Notation="TeX">$H_{\infty}$</tex> </formula> Control of Switched Nonlinear Systems in <formula formulatype="inline"> <tex Notation="TeX">$p$</tex></formula>-Normal Form Using Multiple Lyapunov Functions
- Tracking Control for Hybrid Systems With State-Triggered Jumps
- Lyapunov-Based Sufficient Conditions for Exponential Stability in Hybrid Systems
- Hybrid dynamical systems
- Lyapunov Stability for Impulsive Systems via Event-Triggered Impulsive Control
- Hybrid Systems: Computation and Control
