Root-mean-square gains of switched linear systems: a variational approach
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Publication:999057
DOI10.1016/j.automatica.2008.01.026zbMath1153.93339OpenAlexW2140780564MaRDI QIDQ999057
Michael Margaliot, João P. Hespanha
Publication date: 30 January 2009
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.automatica.2008.01.026
optimal controlmaximum principleHamilton-Jacobi-Bellman equationalgebraic Riccati equationbilinear control systemsdifferential Riccati equationswitched and hybrid systems
Dynamic programming in optimal control and differential games (49L20) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Variable structure systems (93B12) Control/observation systems governed by ordinary differential equations (93C15)
Related Items (20)
New results on asynchronous \(H_{\infty}\) control for switched discrete-time linear systems under dwell time constraint ⋮ On finite-horizon \(\ell_2\)-induced norms of discrete-time switched linear systems ⋮ Stability and \(L_\infty\)-gain analysis for positive switched systems with time-varying delay under state-dependent switching ⋮ Finite-time stability of time-delay switched systems with delayed impulse effects ⋮ Design of an iterative learning control law for a class of switched repetitive systems ⋮ $l_p$ Analysis and Synthesis of Linear Switched Systems: A Unified Input-Output and State-Space Approach ⋮ Root mean square gain of discrete-time switched linear systems under Dwell time constraints ⋮ Passivity of switched linear systems: analysis and control design ⋮ Dwell time analysis of deterministic and stochastic switched systems ⋮ Discretized Lyapunov function approach for switched linear systems under dwell time constraint ⋮ Finite-time boundedness analysis for a class of switched linear systems with time-varying delay ⋮ Robust stability and controller synthesis of discrete linear switched systems with dwell time ⋮ Dissipativity and dwell time specifications of switched discrete-time systems and its applications in \(\mathcal{H}_\infty\) and robust passive control ⋮ Dwell-time approach to input-output stability properties for a class of discrete-time dynamical systems ⋮ Asymptotic disturbance attenuation properties for uncertain switched linear systems ⋮ Balanced truncation for linear switched systems ⋮ Switching and sweeping vibration absorbers: theory and experimental validation ⋮ Robust \(H_\infty\) repetitive control for a class of linear stochastic switched systems with time delay ⋮ On existence of stabilizing switching laws within a class of unstable linear systems ⋮ Stability analysis of a class of nonlinear positive switched systems with delays
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